93 results on '"Two-dimensional space"'
Search Results
2. Block generation in a two-dimensional space constructed by Hellinger metric and affinity for weather data fusion and learning inputs
- Author
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Xu Haitao, Aihong Chen, Jing Chen, and Weimin Peng
- Subjects
Computer Networks and Communications ,Computer science ,020206 networking & telecommunications ,02 engineering and technology ,Sensor fusion ,Metric space ,Matrix (mathematics) ,Two-dimensional space ,Hardware and Architecture ,Position (vector) ,Metric (mathematics) ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Rectangle ,Algorithm ,Software ,Block (data storage) - Abstract
The concise and reliable representation of a given source dataset is available for data based learning and decision-making, which can be obtained through a controllable data fusion process within a formatted space. Based on the density matrix representation of a given source weather dataset, this paper first calculates the Hellinger distances and affinities between different density matrices, and then takes them to construct a two-dimensional metric space using the longest Hellinger metric and affinity paths. Within this space, the given source data units are converted into the corresponding rectangle nodes which are determined by the minimum horizontal and vertical distances between different data units. According to a predefined detection size in this space, the basic blocks centred by different rectangle nodes are classified into different subset blocks for fusion. Each subset block is jointed by the basic blocks with overlapped areas. During the detection process, the detection size keeps increasing until a predefined reference variable, such as the relative density for all subset blocks, reaches a predefined turning point. The fusion of the rectangle nodes in a subset block depends on the distances between the included rectangle nodes’ positions and this subset block’s centre position which is calculated according to the included rectangle nodes’ weights and positions. The experimental analysis shows that the proposed weather data fusion method is controllable and stable and can obtain concise and reliable fusion results for learning inputs and decision-making.
- Published
- 2021
3. Impact Vibration Source Localization in Two-Dimensional Space Around Hand
- Author
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Ryunosuke Tokuhisa, Sho Sakurai, Koichi Hirota, and Yusuke Ujitoko
- Subjects
Computer science ,Acoustics ,Vibration source ,Posture ,Impulse (physics) ,Hand ,Vibration ,Computer Science Applications ,Human-Computer Interaction ,Fingers ,Two-dimensional space ,Position (vector) ,Touch ,Humans ,Actuator - Abstract
This study investigated the localization ability of an impulse vibration source outside the body in two-dimensional space. We tested whether humans can recognize the direction or distance of an impulse vibration source when using their hand to detect spatiotemporal vibrotactile information provided by the propagated vibrational wave from the source. Specifically, we had users put their hands on a silicone rubber sheet in several postures. We asked users to indicate the position of the vibration source when a location on the sheet was indented. Experimental results suggested that the direction of the impact vibration source can be recognized to some extent, although recognition accuracy depends on hand posture and the position of the vibration source. The best results were achieved when the fingers and palm were grounded and a vibration source was presented around the middle fingertip, and the directional recognition error in this case was 6 degree. In contrast, results suggest it is difficult to accurately recognize the distance of the vibration. The results of this study suggest a new possibility for directional display where vibrotactile actuators are embedded at a distance from the user's hand.
- Published
- 2021
4. Optimization of Secondary Sources Configuration in Two-Dimensional Space Based on Sound Field Decomposition and Sparsity-Inducing Regularization
- Author
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Bing Zhou, Kean Chen, Jian Xu, and Lei Wang
- Subjects
Underdetermined system ,Computer science ,Noise reduction ,secondary sources configuration ,General Engineering ,Stability (learning theory) ,TL1-4050 ,Function (mathematics) ,algorithms ,Regularization (mathematics) ,Two-dimensional space ,Genetic algorithm ,sparsity-inducing regularization ,active noise control ,optimization ,Algorithm ,sound field decomposition ,Motor vehicles. Aeronautics. Astronautics ,Active noise control - Abstract
During the design of transducers configuration for an active noise control system, current optimization methods need to predetermine the error sensors configuration, which significantly increases the workload of later optimization of the secondary sources configuration. In this study, a new method free from specific error sensors configuration information is presented that higher order microphones are used to capture the sound field so as to formulate the cost function in wave domain. In addition, according to sparsity characteristics of the primary sound field, sparsity-inducing regularization is introduced to optimize the secondary sources configuration, including the number and positions, by calculating a sparse approximate solution to underdetermined equations. Effects of the number of candidate secondary sources are discussed, and the comparison with the uniform configuration and the optimized configuration using the genetic algorithm is performed. Results show that the proposed method can optimize the secondary sources configuration effectively independent of the error sensors configuration information. The noise reduction of the proposed method is close to that by the genetic algorithm, while other evaluation metrics for the system are much better, which would benefit the stability of active noise control system.
- Published
- 2019
5. Real-Time Analysis and Profiling of Coordinated Movements in Two-Dimensional Space using Footage from Multiple Cameras
- Author
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Yang Chunting, William Morgan-Darko, and Grace Amankwah
- Subjects
Profiling (computer programming) ,Two-dimensional space ,business.industry ,Computer science ,Computer vision ,Artificial intelligence ,business ,Real time analysis - Published
- 2019
6. Solving Visibility Problems on MCCs of Smaller Size
- Author
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Lu, Mi
- Subjects
Information Systems and Management ,Computer science ,Visibility (geometry) ,Disjoint sets ,Computer Science Applications ,Theoretical Computer Science ,Set (abstract data type) ,Line segment ,Perspective (geometry) ,Two-dimensional space ,Artificial Intelligence ,Control and Systems Engineering ,Polygon ,Algorithm ,Time complexity ,Software - Abstract
The paper presents mesh-connected computer (MCC) algorithms to solve the visibility problem for a set of disjoint simple objects such as line segments, circles, and simple polygons in the plane. Given a set of n such objects, the algorithms compute, on a √n x √n MCC, a view of these objects in O(√n) time. Both parallel and perspective views are considered. Earlier published algorithms for computing the views are sequential and have O(n log n) time complexity. Consider the solutions to solve problems of size n on MCCs with p processors, where p < n. An analysis is presented of the time performance and the limitations imposed by the computational and communication requirements, and the trade-offs between the size of the MCC and the time complexity that can be achieved.
- Published
- 2021
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7. Topology identification for super-stable tensegrity structure from a given number of nodes in two dimensional space
- Author
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Anirban Guha, P. Seshu, and P. K. Malik
- Subjects
Set (abstract data type) ,Two-dimensional space ,Mechanics of Materials ,Computer science ,Mechanical Engineering ,Tensegrity ,Structure (category theory) ,General Materials Science ,Condensed Matter Physics ,Topology identification ,Topology ,Civil and Structural Engineering - Published
- 2022
8. Implementation of Fuzzy Aided Kalman Filter for Tracking a Moving Object in Two-Dimensional Space
- Author
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Khondker Rawan Hamid, Azzama Talukder, and A. K. M. Ehtesanul Islam
- Subjects
Logic ,business.industry ,Computer science ,020206 networking & telecommunications ,02 engineering and technology ,Kalman filter ,021001 nanoscience & nanotechnology ,Tracking (particle physics) ,Object (computer science) ,Fuzzy logic ,Computer Science Applications ,Computational Theory and Mathematics ,Two-dimensional space ,Artificial Intelligence ,Video tracking ,Signal Processing ,0202 electrical engineering, electronic engineering, information engineering ,Computer vision ,Artificial intelligence ,0210 nano-technology ,business - Published
- 2018
9. INVESTIGATION OF THE ACCURACY AND SPEED OF THE ALGORITHMS OF STOCHASTIC OPTIMIZATION FUNCTIONS ON A TWO-DIMENSIONAL SPACE
- Author
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Andrei Mastislavovich Korneev, Ilya Andreevich Shipulin, and Andrei Vladimirovich Sukhanov
- Subjects
Two-dimensional space ,Computer science ,Stochastic optimization ,Algorithm - Published
- 2018
10. Singularity avoidance for five-axis machine tools through introducing geometrical constraints
- Author
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Weihong Zhang, Wan-Jing Xing, Yang Liu, and Min Wan
- Subjects
0209 industrial biotechnology ,business.product_category ,Optimization problem ,Computer science ,Mechanical Engineering ,02 engineering and technology ,Topology ,Industrial and Manufacturing Engineering ,Projection (linear algebra) ,Machine tool ,020303 mechanical engineering & transports ,020901 industrial engineering & automation ,Singularity ,0203 mechanical engineering ,Machining ,Two-dimensional space ,Gravitational singularity ,Quadratic programming ,business - Abstract
Singularities in five-axis machining are a series of deadly positions, which may cause unstable axis movements and deteriorate the performance of machine tools. This paper presents an optimization strategy to locally deform the tool path so that singularities of five-axis machine tools can be avoided. To achieve this purpose, a new concept of “forbidden circle”, which is the projection of the three dimensional “singular cone” associated with tool orientations in a two dimensional space named P-plane, is established for the first time to transform the complicated three dimensional problem into a two dimensional problem. Based on this idea, the projected points in P-plane are interpolated as B-spline first, and then, the B-spline control points are locally optimized by taking the “forbidden circle” as the geometrical constraint to keep the B-spline from crossing it. Especially, in the optimization procedure, the constraints are linearized with the changes of B-spline control points to change the whole optimization problem as a typical positive definite quadratic programming problem, which can achieve one and only global optimal solution. By doing so, singularity is avoided, and at the same time, the machining errors caused by tool path deformation can be minimized. Simulation and experimental results verify the effectiveness of the singularity avoidance method.
- Published
- 2018
11. Classification of topological relations between spatial objects in two-dimensional space within the dimensionally extended 9-intersection model
- Author
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Min Chen, Jingwei Shen, and Xintao Liu
- Subjects
Pure mathematics ,Two-dimensional space ,Computer science ,020204 information systems ,0211 other engineering and technologies ,0202 electrical engineering, electronic engineering, information engineering ,General Earth and Planetary Sciences ,02 engineering and technology ,Intersection model ,021101 geological & geomatics engineering - Published
- 2018
12. Investigation rectifier circuits based on the mathematical models in the two-dimensional space
- Author
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Nguyen Thi Hien and A A Zaslavskiy
- Subjects
History ,Rectifier ,Mathematical model ,Two-dimensional space ,Computer science ,Topology ,Computer Science Applications ,Education ,Electronic circuit - Abstract
The mathematical model for the rectifier circuit using semiconductor diodes is setup in this paper. The properties of the rectifier circuit presented by the ordinary differential equation containing a control parameter K. When K is large enough, the studied equation gives a trajectory approximating to a trajectory of the rectifier circuit above. The theorem about the approximation of these solutions with arbitrary small error (this error can be controlled by increasing K). The usefulness of this model is illustrated via concrete example. This study can to get more profound results in further and investigate an optimal process for an assembly line of rectifiers in electrical engineering.
- Published
- 2021
13. Boundary control of a flexible crane system in two‐dimensional space
- Author
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Shuang Zhang and Xiuyu He
- Subjects
Lyapunov function ,0209 industrial biotechnology ,Control and Optimization ,Partial differential equation ,Computer science ,Numerical analysis ,020208 electrical & electronic engineering ,Vibration control ,Boundary (topology) ,02 engineering and technology ,Computer Science Applications ,Human-Computer Interaction ,Vibration ,symbols.namesake ,020901 industrial engineering & automation ,Two-dimensional space ,Control and Systems Engineering ,Control theory ,Ordinary differential equation ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Electrical and Electronic Engineering - Abstract
A flexible crane system with vibrating and varying cable is investigated in two-dimensional space. Two partial differential equations and four ordinary differential equations derived by the Hamilton's principle are used to describe the dynamics of the flexible crane system. The dynamic model of the crane system considers the variation of the tension of the cable. Boundary control design is given to suppress vibrations of the flexible crane system. The Lyapunov's direct method is employed to prove the uniform ultimate boundedness of the states of the cable system. The effectiveness and performance of the proposed control schemes are depicted via numerical simulations.
- Published
- 2017
14. Numerical Simulation of Heat Transfer Diffusion-Convection in Two-Dimensional Space
- Author
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Desy Purnami, I Made, and Kadek Suar
- Subjects
Computer simulation ,Two-dimensional space ,Computer science ,Heat transfer ,Diffusion convection ,Mechanics - Published
- 2018
15. Formation Deployment of Hybrid Control Search Algorithm for Multi-robot in Two-Dimensional Space
- Author
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Guoyang Huan, Dezheng Zhu, and Weicao Zhu
- Subjects
0209 industrial biotechnology ,Robot kinematics ,Computer science ,Distributed computing ,Control (management) ,Process (computing) ,02 engineering and technology ,020901 industrial engineering & automation ,Two-dimensional space ,Software deployment ,Search algorithm ,0202 electrical engineering, electronic engineering, information engineering ,Robot ,020201 artificial intelligence & image processing - Abstract
In order to deploy multi-robot into a 2-D desired formation during the seeking process, this paper proposes a hybrid seeking algorithm with the formation deployment. Firstly, this paper expands the 1-D deployment algorithm to 2-D, and then combines with the extreme seeking algorithm to obtain the hybrid seeking algorithm. With the algorithm, multi-robot can deploy into a desired 2-D formation during seeking process. Simulation results are provided to illustrate the effectiveness of the algorithm.
- Published
- 2019
16. Double Nearest-Neighbor Error Correcting Codes on Hexagonal Signal Constellation
- Author
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Hiroyoshi Morita
- Subjects
Discrete mathematics ,Computer science ,Hexagonal crystal system ,020206 networking & telecommunications ,Constellation diagram ,02 engineering and technology ,Prime (order theory) ,k-nearest neighbors algorithm ,Two-dimensional space ,0202 electrical engineering, electronic engineering, information engineering ,Code (cryptography) ,Error correcting ,020201 artificial intelligence & image processing ,Constellation - Abstract
A new class of double nearest-neighbor errorcorrecting codes on hexagonal constellation in the two dimensional space is presented. The proposed code is a linear [n,n−3] code over GF(p) where p = 6n+1 is a prime. We show that the proposed code corrects any generalized Lee error with at most weight 2.
- Published
- 2019
17. Generalized Coverage Control for Time-Varying Density Functions
- Author
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James Kennedy, Peter M. Dower, and Airlie Chapman
- Subjects
0209 industrial biotechnology ,Mathematical optimization ,Computer science ,020208 electrical & electronic engineering ,Stability (learning theory) ,Probability density function ,02 engineering and technology ,Mathematical proof ,020901 industrial engineering & automation ,Two-dimensional space ,Position (vector) ,Distributed algorithm ,Bounded function ,Convergence (routing) ,0202 electrical engineering, electronic engineering, information engineering - Abstract
The coverage control problem for robotic networks focuses on distributively coordinating the positioning of multiple dynamic agents to provide sensor coverage across a bounded region in two dimensional space. The associated optimal coverage problem seeks to position these agents so as to minimize an associated coverage cost. This coverage cost is typically defined with respect to a density function that is used to bias the network towards desired configurations. Previous approaches to this optimal coverage problem have addressed both static and dynamic environments through the choice of density function; however, stability guarantees for time-varying densities are restricted by significant technical assumptions that simplify the underlying proofs at the expense of limited applicability. In this paper, a generalized algorithm is presented that guarantees practical stability under relaxed technical assumptions. The algorithm, and its convergence, is illustrated via simulation examples.
- Published
- 2019
18. Trilateration in Indoor Positioning with an Uncertain Reference Point
- Author
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Emre Teoman and Tolga Ovatman
- Subjects
business.industry ,Computer science ,Triangulation (social science) ,020206 networking & telecommunications ,02 engineering and technology ,Object (computer science) ,Two-dimensional space ,0202 electrical engineering, electronic engineering, information engineering ,Added value ,Global Positioning System ,020201 artificial intelligence & image processing ,Computer vision ,Artificial intelligence ,business ,Internet of Things ,Trilateration - Abstract
With the increase of Internet of Things (IoT) applications, indoor positioning systems have begun to gain importance. Since there is no widespread technique in this area like Global Positioning System (GPS) at outdoors, a vast variety of techniques and technologies are being used in indoor positioning. Triangulation is one of the most frequently used techniques which can be categorized into two techniques: lateration and angulation. Lateration technique uses distance information in the estimation of location while the angulation technique uses angles besides distances. The lateration technique is called as trilateration when it is applied in two dimensional space. In this paper, trilateration technique is analyzed where one of the reference points resides of an uncertain location. The location of an object is estimated as an area by using two certain reference points. The proposed method determines an added value which represents how much the area is reduced. Experiments are performed to calculate an approximate added value without applying the proposed method because of the costly calculation requirements. The results of the experiments and the obtained added values are also reported as final evaluation of the study.
- Published
- 2019
19. Neighborhood Rough Set Based Similarity Measurement Ofsubzones Affected by West Nile Virus
- Author
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Karan Shah, Sharmila Banu K, and B. K. Tripathy
- Subjects
Geographic information system ,West Nile virus ,Computer science ,business.industry ,Pattern recognition ,medicine.disease_cause ,Measure (mathematics) ,Two-dimensional space ,Similarity (network science) ,medicine ,Rough set ,Artificial intelligence ,business ,Membership function - Abstract
There are many methods that can be used to compute the geographic similarity between regions represented through areas in a two dimensional space. However, it is the rough set based membership function that allows an estimate of the similarity between a subzone formed by the data. The major objective behind this paper is to measure the similarity of GIS subzones on a discrete dataset. This has a varied number of applications not only in GIS and epidemiology but also in clusters analysis and artificial intelligence.
- Published
- 2019
20. Fully-Automatic Geofencing Module for Unmanned Air Systems In Two Dimensional Space
- Author
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Matthias Heller, Florian Holzapfel, David Seiferth, and Benedikt Grüter
- Subjects
Two-dimensional space ,Computer science ,Fully automatic ,Real-time computing - Published
- 2019
21. Hybrid Algorithm of Mobile Position-Trajectory Control
- Author
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Oleg B. Lebedev, Boris K. Lebedev, Andrey I. Kostyuk, and Gennady Veselov
- Subjects
Two-dimensional space ,Position (vector) ,Computer science ,Trajectory ,Graph (abstract data type) ,Tracing ,Ant colony ,Algorithm ,Hybrid algorithm ,Time complexity - Abstract
The paper describes a hybrid algorithm of position-trajectory control of a moving object, based on the integration of the wave and ant algorithms. The process of tracing the trajectory is carried out step by step. At each step relative to the current position of the moving object, a zone is formed within which all the obstacles are localized with the help of the radar, after which a separate trajectory section is constructed which is a continuation of the previously constructed section. And the entire trajectory is a collection of individual sections. The time complexity of this algorithm depends on the ant colony lifetime l (the number of iterations), the number of vertices of the graph n, and the number of ants m, and is defined as O(l∙n2∙m).
- Published
- 2019
22. Basic Ideas on Fuzzy Plane Geometry
- Author
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Debdas Ghosh and Debjani Chakraborty
- Subjects
Mathematics::General Mathematics ,Computer science ,Fuzzy set ,Boundary (topology) ,Fuzzy logic ,law.invention ,Algebra ,ComputingMethodologies_PATTERNRECOGNITION ,Line segment ,Two-dimensional space ,law ,Euclidean geometry ,Point (geometry) ,Cartesian coordinate system ,ComputingMethodologies_GENERAL - Abstract
Euclidean geometry employs Cartesian coordinate system in which reference axes are perpendicular to each other. In this system every point is represented with a unique tuple which is non-ambiguous. In contrast to classical geometry, the fuzzy geometry deals with the objects with hazy boundary and thus can be viewed as a collection of fuzzy points. In fuzzy set theory it is considered that universe is non-fuzzy, the way we perceive any object is fuzzy or imprecise. This hypothesis guided us to establish fuzzy plane geometry in two dimensional space. This chapter starts with the discussion on reference frame considered for developing fuzzy geometry, which act as a yardstick to measure. The concept of fuzzy point and fuzzy line segment are also introduced here.
- Published
- 2019
23. Blind Identification of SFBC-OFDM Signals Using Two-Dimensional Space-Frequency Redundancy
- Author
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Yongzhao Li, Naofal Al-Dhahir, Mingjun Gao, Hailin Zhang, and Litao Mao
- Subjects
Block code ,Computer science ,Orthogonal frequency-division multiplexing ,Estimator ,020206 networking & telecommunications ,020302 automobile design & engineering ,02 engineering and technology ,Redundancy (information theory) ,0203 mechanical engineering ,Two-dimensional space ,0202 electrical engineering, electronic engineering, information engineering ,Redundancy (engineering) ,Fading ,Algorithm ,Statistical hypothesis testing - Abstract
Conventional identification algorithms of space- frequency block codes (SFBC) only utilize the space- domain redundancy between any two receive antennas. In this paper, a novel two-dimensional space-frequency domain redundancy based SFBC identification algorithm for frequency selective fading is proposed in which the detection probability varies with the number of subcarriers. In particular, space-domain redundancy is utilized to construct the cross-correlation function of the estimator while frequency-domain redundancy is incorporated in the hypothesis test statistic. Simulation results verify the viability of the proposed algorithm and its superior performance for short observation periods with comparable computational complexity to the conventional algorithms.
- Published
- 2017
24. The evadable method of static state threat based on route programming in two-dimensional space
- Author
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Qian He and Chao Dai
- Subjects
Theoretical computer science ,Two-dimensional space ,Computer science ,State (computer science) - Published
- 2017
25. Extended LBP Operator to Characterize Event-Address Representation Connectivity
- Author
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Pablo Negri
- Subjects
Visual perception ,Event (computing) ,business.industry ,Computer science ,Local binary patterns ,020208 electrical & electronic engineering ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Pattern recognition ,02 engineering and technology ,Operator (computer programming) ,Two-dimensional space ,Asynchronous communication ,Histogram ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Artificial intelligence ,business ,Representation (mathematics) - Abstract
Address-Event Representation is a flowering technology that can change the visual perception of the computer vision world. This paper proposes a methodology to associate the input data from this kind of sensors. A new descriptor computed using an extended LBP operator seeks to characterize the connectivity of the asynchronous incoming events in a two dimensional space. Those features can be organized on histograms and combined with others descriptors, as histograms of oriented events. They can be the input of traditional classifiers to detect or recognize objects from the scene.
- Published
- 2017
26. Multi-scale analysis of linear data in a two-dimensional space
- Author
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Steven Logghe, Seyed Hossein Chavoshi, Nico Van de Weghe, Yi Qiang, and Philippe De Maeyer
- Subjects
Time series ,Series (mathematics) ,business.industry ,Computer science ,Representation (systemics) ,decision-making ,GIS ,computer.software_genre ,information ,Scale analysis (statistics) ,Information visualization ,time intervals ,multi-scale analysis ,Two-dimensional space ,Earth and Environmental Sciences ,multi-criteria analysis ,triangular model ,information visualization ,linear data ,Computer Vision and Pattern Recognition ,Time domain ,Data mining ,business ,computer - Abstract
Many disciplines are faced with the problem of handling time-series data. This study introduces an innovative visual representation for time series, namely the continuous triangular model. In the continuous triangular model, all subintervals of a time series can be represented in a two-dimensional continuous field, where every point represents a subinterval of the time series, and the value at the point is derived through a certain function (e.g. average or summation) of the time series within the subinterval. The continuous triangular model thus provides an explicit overview of time series at all different scales. In addition to time series, the continuous triangular model can be applied to a broader sense of linear data, such as traffic along a road. This study shows how the continuous triangular model can facilitate the visual analysis of different types of linear data. We also show how the coordinate interval space in the continuous triangular model can support the analysis of multiple time series through spatial analysis methods, including map algebra and cartographic modelling. Real-world datasets and scenarios are employed to demonstrate the usefulness of this approach.
- Published
- 2013
27. Multichannel target speed estimation by a distributed Doppler-pulse MIMO radar
- Author
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Igor Omelchuk and Iurii Chyrka
- Subjects
Computer science ,Doppler radar ,Mimo radar ,Radar systems ,law.invention ,Pulse (physics) ,symbols.namesake ,Signal-to-noise ratio ,Two-dimensional space ,Least squares optimization ,law ,symbols ,Electronic engineering ,Doppler effect - Abstract
The present work offers the solution for a target speed estimation in two dimensional space by the distributed radar systems. The proposed method supposes initial separated estimation of speeds in all channels (as it is done in conventional systems) and further refined estimation of the target speed by the joined least squares optimization. It was shown that the refined estimation allows obtaining of more precise speed estimate.
- Published
- 2016
28. Closed-form solution for TDOA-based joint source and sensor localization in two-dimensional space
- Author
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Nobutaka Ono and Trung-Kien Le
- Subjects
Mathematical optimization ,Signal processing ,Computer science ,020206 networking & telecommunications ,02 engineering and technology ,Space (mathematics) ,Multilateration ,Upper and lower bounds ,Two-dimensional space ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Closed-form expression ,Joint (audio engineering) ,Algorithm - Abstract
In this paper, we propose a closed-form solution for time-difference-of-arrival (TDOA) based joint source and sensor localization in two-dimensional space (2D). This closed-form solution is a combination of two closed-form solutions for time-of-arrival information recovery and time-of-arrival (TOA)-based joint source and sensor localization in 2D. In our previous works, we derived closed-form solutions for TOA-based joint source and sensor localization and near-closed-form solutions for TOA information recovery in three-dimensional space (3D). Since the localization in 2D is simpler than that in 3D, closed-form solutions for both problems in 2D are derived in this paper. The root-mean-square errors (RMSEs) achieved by the proposed closed-form solution are compared with the Cramer-Rao lower bound (CRLB) in synthetic experiments. The results show that the proposed solution works well in both low-noise and noisy cases and with both small and large numbers of sources and sensors.
- Published
- 2016
29. Do infants encode feature and geometry information in a two-dimensional space?
- Author
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Róbert Palotai, Beatrix Lábadi, and Diana Á. Horváth
- Subjects
Male ,Analysis of Variance ,Spatial search ,Computer science ,media_common.quotation_subject ,Infant ,Spatial Behavior ,Videotape Recording ,Geometry ,ENCODE ,Two-dimensional space ,Orientation ,Space Perception ,Perception ,Infant Behavior ,Developmental and Educational Psychology ,Humans ,Female ,Rectangle ,Cues ,Invariant (mathematics) ,Photic Stimulation ,Geometric form ,media_common - Abstract
Geometric form perception and its role in reorienting process have been studied extensively in children, but little is known about its early origin in infancy. Here, we present findings of three experiments that used looking-time paradigm to test infants’ sensitivity to geometric and feature information in two-dimensional visual display. One-year-old infants participated in spatial search tasks, which were manipulated regarding the display movement (static, visible rotation and invisible rotation) as a degree of disorientation. The results showed that infants were able to create expectation about a hiding location based on the geometry of a rectangle only in the directionally stable search space, whereas they were capable to use feature cues (color) for reorienting even in that condition when the spatial display was rotated and they were allowed to track the display motion. However, infants did not use either geometry or feature properties of 2-D space in an orientation invariant manner. The findings are discussed within the theory of reorientation with respect to the 2-dimensional space.
- Published
- 2012
30. Interactive analysis of time intervals in a two-dimensional space
- Author
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Mathias Versichele, Philippe De Maeyer, Yi Qiang, Nito Van De Weghe, and Matthias Delafontaine
- Subjects
BLUETOOTH ,Computer science ,spatio-temporal data analysis ,Interval (mathematics) ,DATABASES ,computer.software_genre ,CUBE ,law.invention ,temporal query ,EVENTS ,Bluetooth ,Software ,law ,triangular model ,Representation (mathematics) ,business.industry ,Tracking system ,Science General ,GIS ,time interval ,Visualization ,Distribution (mathematics) ,Two-dimensional space ,PATTERNS ,VISUALIZATION ,Computer Vision and Pattern Recognition ,Data mining ,business ,computer - Abstract
Time intervals are conventionally represented as linear segments in a one-dimensional space. An alternative representation of time intervals is the triangular model (TM), which represents time intervals as points in a two-dimensional space. In this paper, the use of TM in visualising and analysing time intervals is investigated. Not only does this model offer a compact visualisation of the distribution of intervals, it also supports an innovative temporal query mechanism that relies on geometries in the two-dimensional space. This query mechanism has the potential to simplify queries that are difficult to specify using traditional linear temporal query devices. Moreover, a software prototype that implements TM in a geographical information system (GIS) is introduced. This prototype has been applied in a real scenario to analyse time intervals that were detected by a Bluetooth tracking system. This application shows that TM has the potential to support a traditional GIS to analyse interval-based geographical data.
- Published
- 2012
31. Presenting DEA graphically
- Author
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Adi Raveh and Nicole Adler
- Subjects
Ring (mathematics) ,Exploratory data analysis ,Information Systems and Management ,Two-dimensional space ,Computer science ,Strategy and Management ,Outlier ,Diagram ,Data envelopment analysis ,Econometrics ,Multidimensional scaling ,Management Science and Operations Research ,Scaling - Abstract
This paper introduces a methodology that permits presentation of the results of data envelopment analysis (DEA) graphically. A specialized form of multi-dimensional scaling, Co-Plot, enables presentation of the DEA results in a two-dimensional space, hence in a clear, understandable manner. When plotting ratios rather than original data, DEA efficient units can be visualized clearly, as well as their connections to specific variables and/or ratios. Furthermore, Co-Plot can be used in an exploratory data analysis to identify outliers, whose data require additional scrutiny, and potentially inconsequential variables that could be aggregated or removed from the analysis with little effect on the subsequent DEA results. The Co-Plot diagram of ratios presents super-efficient observations on an outer ring or sector of the plot and all reasonably efficient units on a slightly inner ring/sector, surrounding the remaining inefficient decision-making units. First, the well-known 35 Chinese Cities dataset is provided as an illustration. Second, a simulation study tests the applicability of Co-Plot to present the results of DEA.
- Published
- 2008
32. Science and technology in standardization: A statistical analysis of merging knowledge structures
- Author
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Hariolf Grupp, Thilo Gamber, and Monika Friedrich-Nishio
- Subjects
Structure (mathematical logic) ,Measure (data warehouse) ,Standardization ,Computer science ,General Social Sciences ,Library and Information Sciences ,computer.software_genre ,Computer Science Applications ,Two-dimensional space ,Spillover effect ,Curve fitting ,Cluster (physics) ,Data mining ,Cluster analysis ,computer - Abstract
The objective of this paper is to depict the knowledge array of standards. This is done by identifying and analyzing external effects, specifically spillover effects. The database used is Perinorm. We use a cluster analysis in order to create groups of technology fields for German standards according to the fields of the International Classification of Standards. Methodologically, the distances between these objects or clusters are defined by the chosen distance measure, which in turn is determined by the sum of their cross references. The applied joining clustering method uses these distances between the objects and allows the data to be mapped within a two dimensional space. The results of this mapping show the existence of structures within the standards data fitting to the well-known structure of patent spillovers.
- Published
- 2007
33. An algorithm for visualization of big data in a two-dimensional space
- Author
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Bo Wu and Bogdan M. Wilamowski
- Subjects
business.industry ,Computer science ,Space (mathematics) ,Visualization ,Separable space ,Data set ,Statistical classification ,Data visualization ,Two-dimensional space ,Euclidean geometry ,Cluster analysis ,business ,Algorithm ,Linear separability - Abstract
In this paper, a new algorithm for visualization of high-multidimensional data is described. The algorithm follows several steps. At first, centers representing several categories are selected, and Euclidean distances between these centers are calculated in a high-dimensional space. Then these centers are placed in a 2-dimensional space in such a way that distances in this 2-dimensional space are similar to distances in the high-dimensional space. Next individual patterns are placed one-by-one in the 2-dimensional space trying to keep the similar distances in a high-dimensional and 2-dimensional space. With this algorithm, it was possible to visualize many high-dimensional data sets. The algorithm was successfully verified in several real life problems. It turned out that in some cases, which were until now considered as not linearly separable, became easily separable once patterns were transformed in the 2-dimensional space using the proposed algorithm.
- Published
- 2015
34. The Interaction of Vision and Audition in Two-Dimensional Space
- Author
-
Robert B. Welch, Martine Godfroy-Cooper, Joel D. Miller, Patrick Maurice Basile Sandor, Institut des Sciences du Mouvement Etienne Jules Marey (ISM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU), and Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Accuracy and precision ,[SDV.BIO]Life Sciences [q-bio]/Biotechnology ,Computer science ,Maximum likelihood ,media_common.quotation_subject ,050105 experimental psychology ,Constant error ,localization ,visual-auditory ,lcsh:RC321-571 ,03 medical and health sciences ,0302 clinical medicine ,Perception ,Psychology ,0501 psychology and cognitive sciences ,Computer vision ,auditory ,lcsh:Neurosciences. Biological psychiatry. Neuropsychiatry ,2D ,media_common ,Original Research ,accuracy ,business.industry ,Pointer (user interface) ,General Neuroscience ,[SCCO.NEUR]Cognitive science/Neuroscience ,05 social sciences ,Open-loop controller ,maximum-likelihood methods ,Pattern recognition ,Precision ,Two-dimensional space ,MLE ,visual ,Artificial intelligence ,business ,030217 neurology & neurosurgery - Abstract
International audience; Using a mouse-driven visual pointer, 10 participants made repeated open-loop egocentric localizations of memorized visual, auditory, and combined visual-auditory targets projected randomly across the two-dimensional frontal field (2D). The results are reported in terms of variable error, constant error and local distortion. The results confirmed that auditory and visual maps of the egocentric space differ in their precision (variable error) and accuracy (constant error), both from one another and as a function of eccentricity and direction within a given modality. These differences were used, in turn, to make predictions about the precision and accuracy within which spatially and temporally congruent bimodal visual-auditory targets are localized. Overall, the improvement in precision for bimodal relative to the best unimodal target revealed the presence of optimal integration well-predicted by the Maximum Likelihood Estimation (MLE) model. Conversely, the hypothesis that accuracy in localizing the bimodal visual-auditory targets would represent a compromise between auditory and visual performance in favor of the most precise modality was rejected. Instead, the bimodal accuracy was found to be equivalent to or to exceed that of the best unimodal condition. Finally, we described how the different types of errors could be used to identify properties of the internal representations and coordinate transformations within the central nervous system (CNS). The results provide some insight into the structure of the underlying sensorimotor processes employed by the brain and confirm the usefulness of capitalizing on naturally occurring differences between vision and audition to better understand their interaction and their contribution to multimodal perception.
- Published
- 2015
35. Collision Density in Two-Dimensional Space
- Author
-
Becky P.Y. Loo and Tessa Kate Anderson
- Subjects
Physics ,Two-dimensional space ,Computer science ,Coulomb collision ,Inelastic collision ,Collision ,Spatial analysis ,Remote sensing ,Computational physics - Published
- 2015
36. Trajectories planning for multiple UAVs by the cooperative and competitive PSO algorithm
- Author
-
Ping Li, Hongbin Ma, Tianyun Shi, Jun Liu, and Xuemei Ren
- Subjects
Mathematical optimization ,Dimension (vector space) ,Two-dimensional space ,Control theory ,Computer science ,Robustness (computer science) ,Process (engineering) ,Particle swarm optimization ,Cooperative planning ,Space (commercial competition) ,Three-dimensional space - Abstract
By the cooperative and competitive PSO algorithm, the goal of this study is to provide the cooperative trajectories of multiple UAVs in the three dimensional space. To effectively reduce the dimension of this problem, the optimization process is mainly divided into two substages to reduce the difficulty of selecting the weights of objectives and constraints in the considered objective function. Considering several objectives and constraints, the cooperative trajectories in the first substage are given by the cooperative and competitive PSO algorithm in the two dimensional space. In the second substage, the altitude of cooperative trajectories is adjusted according to the considered objectives and constraints. In the complicated scenarios, simulation results demonstrate the effectiveness and the robustness of the cooperative and competitive PSO algorithm, which possibly provides one guideline for optimal cooperative planning trajectories of multiple UAVs in the three-dimensional space.
- Published
- 2015
37. Reordering dimensions for Radial Visualization of multidimensional data — A Genetic Algorithms approach
- Author
-
Pham Manh Truong, Nguyen Duc Anh, Huynh Thi Thanh Binh, Tran Van Long, and Nguyen Xuan Hoai
- Subjects
Data set ,Two-dimensional space ,Dimension (vector space) ,Computer science ,Genetic algorithm ,Multidimensional data ,Data mining ,computer.software_genre ,Projection (set theory) ,computer ,Visualization - Abstract
In this paper, we propose a Genetic Algorithm (GA) for solving the problem of dimensional ordering in Radial Visualization (Radviz) systems. The Radviz is a non-linear projection of high-dimensional data set onto two dimensional space. The order of dimension anchors in the Radviz system is crucial for the visualization quality. We conducted experiments on five common data sets and compare the quality of solutions found by GA and those found by the other well-known methods. The experimental results show that the solutions found by GA for these tested data sets are very competitive having better cost values than almost all solutions found by other methods. This suggests that GA could be a good approach to solve the problem of dimensional ordering in Radviz.
- Published
- 2014
38. Research on the Method for Simulating 3D Dynamic Process in Two-Dimensional Space and its Application in Developing Audio and Video Electronic Textbook
- Author
-
Fuxiang Liu
- Subjects
Software ,Two-dimensional space ,Simple (abstract algebra) ,Computer science ,business.industry ,Computer graphics (images) ,Key (cryptography) ,Process (computing) ,Animation ,Object (computer science) ,business ,Computer animation - Abstract
If we use computer to simulate simple form of three-dimensional dynamic process that is virtual or very difficult to achieve in reality directly in the two-dimensional space, we will reduce the development difficulty of simulation process. This paper introduces the simulation methods and key technologies by some relevant examples in “Audio and Video Electronic Textbook of Mechanical Drawing.” The examples include the formation process of gyration curved surface, the process of an object being cut by a plane, the decomposition process of a combined object. The Flash animation software is mainly used in the simulation process, and AutoCAD software and Photoshop software are the tools used for preparing materials. The results show that simple form of three-dimensional dynamic process can be simulated very realistically in the two-dimensional space, not using the tools of three-dimensional animation.
- Published
- 2014
39. Representing time intervals in a two-dimensional space: an empirical study
- Author
-
Nico Van de Weghe, Philippe De Maeyer, Martin Valcke, and Yi Qiang
- Subjects
Computer science ,business.industry ,Temporal reasoning ,Linear model ,Contrast (statistics) ,Usability ,computer.software_genre ,Science General ,Information visualisation ,Language and Linguistics ,Computer Science Applications ,Empirical study ,Human-Computer Interaction ,Information visualization ,Basic knowledge ,Empirical research ,Two-dimensional space ,Artificial intelligence ,Temporal information ,Time intervals ,Null hypothesis ,business ,computer ,Natural language processing - Abstract
Objective: Instead of the linear model (LM), time intervals can be represented by a two-dimensional (2D) model, which is called the triangular model (TM). Although the TM has been introduced for decades and applied in some areas, there still a lack of empirical studies on its usability. To fill this gap, this study aims to evaluate how people perform when using the TM to answer questions on time intervals, in comparison with using the traditional LM. Method: Around 250 novice participants took part in the experiment, which consisted of a video training, a pretest and posttest. The video training introduced the basic knowledge of temporal relations and the two representations. The pretest allowed participants to practice the knowledge they have learned and receive feedbacks of the answers. In the posttest, participants' accuracy and speed when answering the questions were recorded for analysis. The results of using the TM and the LM were compared in pairs. The null hypothesis is that the participants produce equal results with the two models. Result: The results showed that the participants scored better and spent less time when answering questions with the TM, which rejected the null hypothesis. Moreover, the score and speed when they used the TM did decline in the questions containing a larger number of intervals. In contrast, the score and accuracy when they used the LM declined when questions containing a large number of intervals. Conclusion: *The TM is easy to learn. After a 20-min training, novice participants can use it to solve questions and produce satisfactory result. *The TM is easy and efficient for visual queries of time intervals. *The TM is easy to use for handling a large number of intervals. Implication: *The TM can be widely applied in analysing time intervals and linear data. *Tools implementing the TM can be learned and used by novice users.
- Published
- 2014
40. Hands-on representations in a two-dimensional space for early stages of design
- Author
-
Kumiyo Nakakoji, Yasuhiro Yamamoto, and Shingo Takada
- Subjects
Information Systems and Management ,Two-dimensional space ,Artificial Intelligence ,Computer science ,Human–computer interaction ,Design education ,business.industry ,Framing (construction) ,Artificial intelligence ,business ,Software ,Management Information Systems - Abstract
In design, problem analysis is as important as solution synthesis. Strategic knowledge is required not only for constructing a solution but also for framing a problem. While externalized representations play critical roles in design tasks, different types of representations are necessary for different stages of a design task. In early stages of a design task, design support tools need to provide hands-on representations with which a designer can easily perform trial-and-error and examine the whole as well as parts of the whole, allowing the designer to represent any levels of preciseness, as he/she likes. Sketching and drawing with paper and pencil provide an ideal representation for this process. But what about supporting design domains, such as writing or programming, where no sketching exists? In this paper, we argue that two-dimensional positioning of objects in a design support tool serves for the same purpose as sketching does for architectural design. Two-dimensional positioning allows a designer to produce hands-on representations that “talk back” to him/her without forcing the designer to formalize or verbalize what to be externalized. Two systems, ART for writing and RemBoard for component-based programming, illustrate the framework.
- Published
- 2000
41. Color and luminance in the perception of 1- and 2-dimensional motion
- Author
-
Bart Farell
- Subjects
Male ,Brightness ,Time Factors ,Color vision ,Computer science ,media_common.quotation_subject ,One-dimensional space ,Motion Perception ,Grating ,Luminance ,Motion (physics) ,Contrast Sensitivity ,Optics ,Perception ,Psychophysics ,Humans ,Lighting ,media_common ,Depth Perception ,business.industry ,Sensory Systems ,Ophthalmology ,Pattern Recognition, Visual ,Two-dimensional space ,Spectrophotometry ,business ,Color Perception - Abstract
An isoluminant color grating usually appears to move more slowly than a luminance grating that has the same physical speed. Yet a grating defined by both color and luminance is seen as perceptually unified and moving at a single intermediate speed. In experiments measuring perceived speed and direction, it was found that color- and luminance-based motion signals are combined differently in the perception of 1-D motion than they are in the perception of 2-D motion. Adding color to a moving 1-D luminance pattern, a grating, slows its perceived speed. Adding color to a moving 2-D luminance pattern, a plaid made of orthogonal gratings, leaves its perceived speed unchanged. Analogous results occur for the perception of the direction of 2-D motion. The visual system appears to discount color when analyzing the motion of luminance-bearing 2-D patterns. This strategy has adaptive advantages, making the sensing of object motion more veridical without sacrificing the ability to see motion at isoluminance.
- Published
- 1999
42. A new method for the analysis of simple and complex planar rapid movements
- Author
-
Réjean Plamondon and Wacef Guerfali
- Subjects
Reverse engineering ,Handwriting ,Time Factors ,Movement (music) ,Computer science ,business.industry ,Movement ,General Neuroscience ,Body movement ,Kinematics ,computer.software_genre ,Field (computer science) ,Nonlinear system ,Logistic Models ,Nonlinear Dynamics ,Two-dimensional space ,Simple (abstract algebra) ,Psychophysics ,Humans ,Regression Analysis ,Artificial intelligence ,Cues ,business ,computer - Abstract
Recent developments in the field of simple human movement modelling provide new ways in which to view complete models for analysing and understanding complex movements. Based on a kinematic theory and a vectorial delta-lognormal model recently proposed by Plamondon, 1993a , Plamondon, 1995a , Plamondon, 1995b , Plamondon, 1995c , Plamondon, 1998 , a new method for exploring and understanding the inherent mechanisms that govern planar movement generation and predict human behaviour is presented here. This paper describes an approach for analysing simple as well as complex movements such as cursive handwriting. It highlights some difficulties encountered in the analysis of complex movements. Problems such as the development of robust approaches to solve the reverse engineering problem of automatic parameter extraction of a succession of time-overlapped nonlinear functions are discussed. The analysis of natural cursive handwriting shows many interesting properties of the model and proposes new ways to study perturbed movement phenomena.
- Published
- 1998
43. Tomographic systems of equations with irregular cells
- Author
-
Malcolm Sambridge and Ólafur Guđmundsson
- Subjects
Atmospheric Science ,Ecology ,Computer science ,Computation ,Numerical analysis ,Paleontology ,Soil Science ,Forestry ,Aquatic Science ,Oceanography ,System of linear equations ,Regular grid ,Geophysics ,Two-dimensional space ,Space and Planetary Science ,Geochemistry and Petrology ,Earth and Planetary Sciences (miscellaneous) ,Tetrahedron ,A priori and a posteriori ,Tomography ,Algorithm ,Earth-Surface Processes ,Water Science and Technology - Abstract
How to implement seismic or any other type of ray-based tomography in a new class of cellular parameterization built from any chosen distribution of nodes in two or three dimensions is shown. The complete flexibility of this novel approach allows one to introduce detail in a tomographic model only where desired, thereby reducing memory and computation time, or to impose complex a priori constraints on the inversion. Full details of powerful new algorithms are given to generate unequally sized tetrahedral or polyhedral cells and to calculate the necessary Frechet derivatives required in linearized tomography. These algorithms are efficient enough in three dimensions, to allow the parameterization to be refined during an inversion. The methods are illustrated with numerical examples. It is concluded that in linear or nonlinear inversion the computational cost of the new algorithms will not be significantly higher than that incurred by using a regular Cartesian grid.
- Published
- 1998
44. Optimizing visual landmarks: two- and three-dimensional minimal landscapes
- Author
-
Ariane S. Etienne, Catherine Dahn-Hurni, Benoît Reverdin, and S. Joris-Lambert
- Subjects
Communication ,Landmark ,Panorama ,business.industry ,Computer science ,Homing (biology) ,Direct path ,Three-dimensional space ,Two-dimensional space ,Dead reckoning ,Animal Science and Zoology ,Computer vision ,Artificial intelligence ,Visual landmarks ,business ,Ecology, Evolution, Behavior and Systematics - Abstract
When hoarding food within a circular arena, golden hamsters, Mesocricetus auratus W., return along a direct path from the feeding place at the centre to their nest at the periphery. The homing direction depends on dead reckoning (updated internal signals derived from locomotion) and, if available, on landmarks outside the arena. This study was aimed at defining the conditions under which a landmark panorama predominates over dead reckoning during conflict situations. In agreement with previous results, this was found to be the case only when the panorama contained at least one prominent vertical feature aligned with the apex of a two-dimensional, continuous background pattern. The minimal landscape that controlled homing was a solid cylinder presented in front of the background pattern, or its two-dimensional projection on the pattern itself. Contrary to a previous hypothesis, depth did not appear to be a critical factor in an effective landmark panorama.
- Published
- 1995
45. Global Synchronization of Moving Agent Networks with Time-varying Topological Structure
- Author
-
Zhi Kong, Xin Gang Wang, and Li Fu Wang
- Subjects
Lyapunov stability ,Two-dimensional space ,Computer simulation ,Computer science ,Control theory ,Node (networking) ,Synchronization (computer science) ,General Engineering ,Structure (category theory) ,Complex network ,Base (topology) ,Topology ,Mathematics - Abstract
The synchronization of moving agent networks with linear coupling in a two dimensional space is investigated. Base on the Lyapunov stability theory, a criterion for the synchronization is achieved via designed decentralized controllers. And, an example of typical moving agent network, having the Rössler system at each node, has been used to demonstrate and verify the design proposed. And, the numerical simulation results show the effectiveness of proposed synchronization approaches.
- Published
- 2012
46. Propagation Delay of Brownian Molecules in Nano-Biosensor Networks
- Author
-
Tadashi Nakano, Michael J. Moore, and Yutaka Okaie
- Subjects
Two-dimensional space ,Computer science ,Nano ,Electronic engineering ,Molecule ,Nano biosensor ,Propagation delay ,Biosensor ,Measure (mathematics) ,Brownian motion - Abstract
In the emerging area of nanonetworks, nano to micro-scale devices called nanomachines are deployed to perform various tasks for applications [1][2]. In this short paper, we consider a biosensor network that consists of nano-scale biosensors; i.e., sensors capable of sensing chemical signals (e.g., toxic chemical substances). In the biosensor network, stationary sensors are distributed over a two dimensional space, and expected to capture a chemical signal that appears in the space and that propagates via Brownian motion. We employ two different placement schemes to distribute sensors, and measure the propagation delay that is required to detect a chemical signal. Preliminary simulation results are provided to show the impact of placement schemes as well as the number of sensors on the propagation delay.
- Published
- 2012
47. An Application of the Self-Organizing Map to Multiple View Unsupervised Learning
- Author
-
Tomasz Galkowski and Artur Starczewski
- Subjects
Self-organizing map ,Computer science ,business.industry ,Self ,computer.software_genre ,Machine learning ,Task (project management) ,Data set ,Two-dimensional space ,Unsupervised learning ,Artificial intelligence ,Data mining ,Projection (set theory) ,business ,Cluster analysis ,computer - Abstract
In various data mining applications performing the task of extracting information from large databases is serious problem, which occurs in many fields e.g.: bioinformatics, commercial behaviour of Internet users, social networks analysis, management and investigation of various databases in static or dynamic states. In recent years many techniques discovering hidden structures in the data set like clustering and projection of data from high-dimensional spaces have been developed. In this paper, we propose a model for multiple view unsupervised clustering based on Kohonen self-organizing-map algorithm. The results of simulations in two dimensional space using three views of training sets having different statistical properties have been presented.
- Published
- 2012
48. Concepts of TRIFIT, a flexible software environment for problems in two space dimensions
- Author
-
Rob F. van der Wijngaart
- Subjects
Flexibility (engineering) ,Numerical Analysis ,Engineering drawing ,Theoretical computer science ,General Computer Science ,Computer science ,business.industry ,Applied Mathematics ,Type (model theory) ,Space (commercial competition) ,Grid ,Theoretical Computer Science ,Software ,Two-dimensional space ,Modeling and Simulation ,business - Abstract
A general-purpose package for the solution of problems in two space dimensions, both steady and unsteady, is described. The type of grid used is unstructured triangular. Emphasis is placed on concepts underlying the package, rather than on implementation.
- Published
- 1994
49. The Universal Constructor in the DigiHive Environment
- Author
-
Rafal Sienkiewicz and Wojciech Jedruch
- Subjects
Structure (mathematical logic) ,business.industry ,Computer science ,Hexagonal crystal system ,Programming language ,media_common.quotation_subject ,Von Neumann universal constructor ,computer.software_genre ,Artificial environment ,symbols.namesake ,Two-dimensional space ,symbols ,Artificial intelligence ,business ,Function (engineering) ,computer ,media_common - Abstract
The paper describes an universal constructor model realized in artificial environment called DigiHive. The environment is a two dimensional space, containing stacks of hexagonal tiles being able to moving, colliding, and making bonds between them. On the higher level of organization a structure of tiles specifies some function whose execution affects other tiles in its neighborhood. After short description of the Digi-Hive the paper describes design of an universal constructor and discusses possibilities of simulating self-replicating strategies in the environment.
- Published
- 2011
50. Target localization methods for frequency-only MIMO radar
- Author
-
Yilmaz Kalkan and Buyurman Baykal
- Subjects
Artificial neural network ,business.industry ,Computer science ,MIMO ,Doppler radar ,Grid ,law.invention ,Time of arrival ,Two-dimensional space ,law ,Position (vector) ,Hyperparameter optimization ,Telecommunications ,business ,Algorithm ,Computer Science::Information Theory - Abstract
When the time resolution of the signals is not so good, we can't rely on the time of arrival (TOA) information. On the other hand, if the frequency resolution of the signals is good, than frequency of arrival (FOA) informations will be more reliable. Localization of a moving, non-maneuvering target is possible by using Doppler-shift measurements in MIMO radar systems. A new method for target localization in frequency-only MIMO radar is proposed and it is compared with previous method. These methods use only received frequencies, and all of other unknown quantities can be written by using locations of the target, the receivers and the transmitters. If the received frequencies are known only, desired area can be searched grid by grid for all possible (x, y) coordinates to find the position of the target in 2D space.
- Published
- 2010
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