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Firefly Algorithm (FA), a population based algorithm has been found superior over other algorithms in solving optimization problems. Later the authors formulated a quantum Delta potential well model for FA (QFA) by placing the fireflies in an exponent atmosphere with global updating operator and weighting function. In this paper, to improve the speed of convergence and provide a proper balance between local and global search ability of QFA, an interpolation based recombination operator for generating a new solution vector in the search space has been introduced. Above algorithm is compared with various other algorithms using several benchmark functions. Statistical performance using t-test on the results exhibits the superiority of proposed QFA. [ABSTRACT FROM AUTHOR]

Shape preserving interpolation is studied well in polynomial interpolation. The aim of this paper is to give a local interpolation method. The local interpolation is presented by using the cubic non-uniform rational B-spline curves. The generated interpolation curve can be continuous and has a local shape parameter. Based on the convexity of the cubic non-uniform rational B-spline curves, the convexity of the given interpolation curves is discussed . Some computed examples of the interpolation curves are given. [ABSTRACT FROM AUTHOR]

In this paper, we propose an interpolation based local postprocessing approach for finite element electronic structure calculations over locally refined hexahedral finite element meshes. It is shown that our approach is very efficient in finite element approximations of ground state energies. [ABSTRACT FROM AUTHOR]

In recent years the vestibular-sympathetic reflex has received an increasing amount of attention due to the role it could play in the human organism in different types of scenarios. Despite this, quantitative models of this reflex mechanism are still lacking. In this context, the current paper aims at taking a first step towards the modeling of the vestibular-sympathetic reflex by developing a model of the Vestibular Nucleus – the central part of the vestibular-sympathetic reflex. After a careful analysis of the limitations and uncertainties of the available experimental data from the literature, a three step modeling methodology for the Vestibular Nucleus is presented. After a description of the operations involved in each step, in the end, some preliminary results are shown. [ABSTRACT FROM AUTHOR]

The article focuses on modifying geometric projection of digital image referred as geometric image transformation and mentions method required in photogrammetry for orthophoto production. Topics discussed include combining image of computer-aided design (CAD) models and template matching process, modification of pixel coordinates and interpolation of a suitable pixel using arbitary non-integer pixel position.

This paper proposes a novel reversible data hiding algorithm for images, which the original host image can be exactly recovered from the marked image after the hidden data has been extracted. The proposed algorithm considers shifting the histogram of the difference values between the subsampled target pixel intensities and their interpolated counterparts to hide secret data. The shifting of the histogram of difference values is carried out by modifying the target pixel values. As compared to other schemes, the proposed method can make more utilization of the correlation between nearby pixels in an image via simple interpolation techniques to increase embedding capacity without sacrificing much distortion for data hiding. The reason of the feasibility is that the difference histogram derived in the paper renders so highly centralized distribution around zero that much more embedding capacity than before can be thus obtained. The experimental results demonstrate that the proposed method not only provides larger embedding capacity than other histogram shifting methods but also maintains a high visual quality. Moreover the computational complexity of the proposed method is low since only simple arithmetic computations are needed. [ABSTRACT FROM AUTHOR]

There are several prevailing methods for selecting knots for curve interpolation. A desirable criterion for knot selection is whether the knots can assist an interpolation scheme to achieve the reproduction of polynomial curves of certain degree if the data points to be interpolated are taken from such a curve. For example, if the data points are sampled from an underlying quadratic polynomial curve, one would wish to have the knots selected such that the resulting interpolation curve reproduces the underlying quadratic curve; and in this case the knot selection scheme is said to have quadratic precision. In this paper we propose a local method for determining knots with quadratic precision. This method improves on upon our previous method that entails the solution of a global equation to produce a knot sequence with quadratic precision. We show that this new knot selection scheme results in better interpolation error than other existing methods, including the chord-length method, the centripetal method and Foley΄s method, which do not possess quadratic precision. [ABSTRACT FROM AUTHOR]

It has been known for some time that the Sylvester equation plays a significant role in interpolation, feedback control, observer theory and model reduction problems. In this paper, in place of state space techniques, we use polynomial models to replace the standard Sylvester equation by a polynomial version. The polynomial Sylvester equation is closely related to a Bezout equation. We use this functional setting to unify various model reduction techniques. [ABSTRACT FROM AUTHOR]

Accurate modeling of wheat production in advance provides wheat growers, traders, and governmental agencies with a great advantage in planning the distribution of wheat production. The conventional approach in dealing with such prediction is based on time series analysis through statistical or intelligent means. These time-series based methods are not concerned about the factors that cause the sequence of the events. In this paper, we treat the historical wheat data in New South Wales over 130 years as non-temporal collection of mappings between wheat yield and both wheat plantation area and rainfall through data expansion by 2D interpolation. Neural networks are then used to define a dynamic system using these mappings to achieve modeling wheat yield with respect to both the plantation area and rainfall. No similar study has been reported in the world in this field. Our results demonstrate that a four-layer multilayer perceptron model is capable of producing accurate modeling for wheat yield. [ABSTRACT FROM AUTHOR]

Interpolation is the main bottleneck in AVS real-time high definition video encoder for its high memory bandwidth and large calculation complexity caused by the new coding features of variable block size and 4-tap filter. In this paper, a high performance VLSI architecture of interpolation supporting AVS Baseline@L4 is presented. Vertical redundant data reuse, horizontal redundant data reuse and sub-pixel data reuse schemes are presented to reduce memory bandwidth and processing cycle. The separated 1-D interpolation filters are used to improve throughput and hardware utilization. The proposed design is implemented on FPGA with operating frequency of 150MHz and can support 1080p (1920×1080)/30fps AVS real-time encoder. It is a useful intellectual property design for real-time high definition video application. [ABSTRACT FROM AUTHOR]

Image resolution enhancement techniques are required in various multimedia systems for image generation and processing. The main problem is an artifact such as blurring in image resolution enhancement techniques. Specially, cloud image have important information which need resolution enhancement technique without image quality degradation. To solve the problem, we propose error estimation and image resolution enhancement algorithm using low level interpolation. The proposed method consists of the following elements: error computation, error estimation, error application. Our experiments obtained the average PSNR 1.11dB which is improved results better than conventional algorithm. Also we can reduce more than 92% computation complexity. The proposed algorithm may be helpful for applications such as satellite image and cloud image. [ABSTRACT FROM AUTHOR]

This paper introduces a new pilot pattern design for channel estimation in WiMAX. Current WiMAX systems use a subcarrier allocation technique known as Uplink Partial Usage of Subcarriers (UL-PUSC). It is based on tile structure that consists of 4 subcarriers by 3 OFDMA symbols with 4 pilots in the corners to aid the channel estimation process. We propose a new pilot pattern called ˵transposed UL-PUSC″. It consists of 3 subcarriers by 4 OFDMA symbols. We compare between the performance of the conventional UL-PUSC and our proposed one under different radio channel conditions. We finally propose an adaptive algorithm that selects the optimum pilot pattern based on channel conditions. [ABSTRACT FROM AUTHOR]

This paper presents a nonlinear Dynamic Matrix Control (DMC) algorithm. A neural network calculates on-line step response coefficients which comprise a model of the controlled process. These coefficients are next used to determine the optimal control policy from an easy to solve quadratic programming problem. To reduce the number of model parameters (step response models usually need many coefficients) interpolated step response neural models are used in which selected coefficients are actually calculated by the neural network whereas remaining ones are interpolated by means of cubic splines. The main advantage of the step response neural model is the fact that it can be obtained in a straightforward way, no recurrent training is necessary. Advantages of the described DMC algorithm are: no on-line model linearisation, low computational complexity and good control accuracy. [ABSTRACT FROM AUTHOR]

Nowadays, spatial analysis led on complex phenomenon implies the usage of data available on heterogeneous territorial meshes, that is to say misaligned meshes. Then, combine these data requires the transfer of each dataset into a common spatial support that can be exploited. This is known as the Change Of Support Problem (COSP). However, it appears that transfer methods are numerous, and they are often linked with a regression model, and other parameters whose selection and tuning may not be straight forward for a non-expert user. Furthermore, the process is also very dependent from both the nature of the data to be transferred and their quality. This paper first proposes a brief overview of some available transfer methods, giving the premises for the characterization of each method. A use case illustrates a transfer operation, and reveals its main difficulties. [ABSTRACT FROM AUTHOR]

In the present paper, a new method for forging preform design has been developed based on linear interpolation technique. The use of preform shapes obtained by this technique would result in enhancement of the geometrical and mechanical quality of final part. It was found that among the obtained preform shapes there exists one preform that gives more uniform accumulated equivalent plastic strain. Using plasticine as an ideal material to validate the findings it is shown that by the use of this optimum preform shape, the geometrical defects such as under filling and fold over defects may be eliminated in the final product. In addition, a more uniform strain distribution through final part is achievable. Therefore its metallurgical and mechanical properties are improved. [ABSTRACT FROM AUTHOR]

Chimera technique has broad applications in complex flow field simulations because of its convenience of the arbitrary boundary interfaces and the easiness of gird generations of subzones. However, the main disadvantage or challenging difficulty lies in the global conservative information exchange between different zones or components. This work aims at assessing the conservation and effects of the mass flux based interpolation (MFBI) in a chimera multi-grid flow solver where Reynolds-Averaged Navier-Stokes (RANS) equations and Boldwin-Lomax turbulence model are introduced to calculate the viscous flows over a multi-element airfoil (NAWC1F2.2) with a flap. Numerical results reveal that, compared to the direct interpolation scheme, the performance of global conservation of MFBI are much better and more coincident with wind-tunnel experiments. [ABSTRACT FROM AUTHOR]

This paper presents Lifting Scheme as a tool to compute the interpolated versions of an image for modeling Human Vision interpolation phenomenon at optimum computational load. Image can be zoomed in or zoomed out using various interpolation techniques. Here, Lifting Scheme is used as a tool to increase/decrease image size, even though image is not of size 2n x 2n where n is an integer. Zero padding technique is used for images those are not of size 2n x 2n dimensions. Any variable size reduction/magnification of an image can be computed using the proposed lifting scheme. For this, piecewise application of Lifting Scheme based DWT is presented along with the MSE & PSNR of reconstruction for gray and color images. [ABSTRACT FROM AUTHOR]

Graded components are a resource-conserving alternative to today's composite materials. Functional gradation means a steady progress of the property values through the three spatial dimensions of the component. At the present time there is no methodology to specify the graded properties in the component description. Its starting point takes place in the conventional CAD-Models, based on Voxel models. The component geometry is reproduced with the aid of voxels. Each single Voxel is linked with the component properties. The effort of the description is reduced by the use of interpolation techniques. As a result, we have an enhanced component model which contains all the necessary information for the description of a functional graded component. This model constitutes the starting point of the process chain planning for the component production. [ABSTRACT FROM AUTHOR]

Graded components are a resource-conserving alternative to today's composite materials. Functional gradation means a steady progress of the property values through the three spatial dimensions of the component. At the present time there is no methodology to specify the graded properties in the component description. Its starting point takes place in the conventional CAD-Models, based on Voxel models. The component geometry is reproduced with the aid of voxels. Each single Voxel is linked with the component properties. The effort of the description is reduced by the use of interpolation techniques. As a result, we have an enhanced component model which contains all the necessary information for the description of a functional graded component. This model constitutes the starting point of the process chain planning for the component production. [ABSTRACT FROM AUTHOR]

Photorealistic lighting requires to use accurate rendering algorithms and realistic models of light sources. Photometric solids are provided by lighting designers in order to characterize the luminance distribution from real light sources. When accuracy is required the amount of discretized luminance directions and the number of photometric solids that have to be used increase considerably the memory requirements and reduce the algorithms efficiency. In this paper we propose to approximate any photometric solid by the way of artificial neural networks. The data describing the luminances distribution are used to train a dedicated neural network during a learning step. Then this much more compact representation of the data can be used both for reducing the memory requirements and the computation costs when searching for any luminance information. [ABSTRACT FROM AUTHOR]

The controllers with interpolative blocks can replace fuzzy controllers in control structures. This is possible because fuzzy controllers belong also to the interpolative-type controller category, meaning controllers which implements interpolative-type reasoning. That kind of replacement is not only a formal operation; it is also associated with further corrections that confer to the structures with interpolative controllers enough flexibility to obtain better performances. The possibility of performances improvement on a flexible structure is the main argument of the present paper. Another argument is the reduced calculus time, suited for the real-time implementation - it΄s about ˵look-up table″ type solutions and the possibility to obtain simple controllers with robustness properties. In order to illustrate the above affirmations, two case studies are developed in the paper: an electromechanical ball and beam nonlinear system and a positioning system with Lyapunov constraints and state limitations. [ABSTRACT FROM AUTHOR]

In this paper, A type of integrating formula is constructed, which requires function value at nodes without derivative. In addition, the formula needs less calculation than the Trapezoidal Rule, but the order of convergence is much better. Therefore a more effective .result is obtained. [ABSTRACT FROM AUTHOR]

This paper proposes a novel noniterative orientation adaptive image inpainting algorithm. Assuming the image can be locally modeled, the filling process is formulated as a linear optimization problem, which the optimal coefficients can be adapted to match an arbitrary-oriented edge based on local geometric similarity. We provided A Weighted Least Square (WLS) method is provided to offer a convenient way of finding the optimal solution, which the weight function is selected based on the non local means. We also present Group Marching method (GMM) as the propagation scheme such that sharp edges are well propagated into the missing region layer by layer while maintaining the local geometric similarity. A number of examples on real and synthetic images demonstrate the effectiveness of our algorithm. [ABSTRACT FROM AUTHOR]

The purpose of this work is to prove a generalization of the dichotomy theorem from [6], extending that result to a larger class of counting problems. This is achieved through the use of interpolation and holographic reductions. We also use holographic reductions to establish a close connection between a class of problems which are solvable using Fibonacci gates and the class of problems which can be solved by applying a particular kind of counting argument. [ABSTRACT FROM AUTHOR]

Super resolution technique was first proposed for enhancing the image resolution, and then it was expanded to video sequence for obtaining a higher resolution video from low resolution input. Recently, super-resolution based video coding has emerged as an important research topic as the image resolution increases rapidly and the downsampling coding is very efficient for bit rate reduction. With the super-resolution algorithm, we can encode the input video with low resolution at lower bitrate and reconstruct a high resolution video efficiently at the decoder side. In this paper, a block adaptive super resolution based coding framework is proposed for video coding. In the proposed scheme, block adaptive downsampling and upsampling with super-resolution is selected based on the rate-distortion cost decision, where the distortion caused by super-resolution algorithm in the reconstruction process is also included. Experimental results show that the proposed scheme is very promising for high resolution coding. [ABSTRACT FROM AUTHOR]

A curve interpolation scheme based on piecewise rational quadratic spline is discussed. To preserve the shape of the data, the constraints are made on the free parameters ri, in the description of rational quadratic interpolant. We examine the positivity and/or monotonicity preserving of this rational quadratic interpolant to a given data set. The method easy to used and require less computational steps. The degree of smoothness attained is C1 Some numerical results will be presented. [ABSTRACT FROM AUTHOR]

The knowledge of image΄s geometric history plays an important role in image signal compression, image registration, image retrieval and especially in image forensics. In this paper we focus on scaling and show that images that have undergone scaling contain hidden cyclostationary features. This makes possible employing the well–developed theory and efficient methods of cyclostationarity for a blind analyzing of the history of images in respect to scaling transformation. To verify this, we also propose a cyclostationarity detection method applied to our problem and show how the traces of scaling can be detected and the specific parameters of the transformation estimated. The method is based on the fact that a cyclostationary signal has a frequency spectrum correlated with a shifted version of itself. A quantitative measure of the efficiency of the method is proposed as well. [ABSTRACT FROM AUTHOR]

In the digital cinema postproduction chain, image rescaling serves as a core function. The quality of rescaling is critical to maintaining the visual impact of a digital film at play-out. In the EU funded project IP-RACINE, it is required to address color distortion, artifacts and image blur in fractional rescaling within 1 pixel for a typical image of resolution 2K. To this end, we proposed a hybrid warping framework for fractional image rescaling that not only unifies the two dominant image rescaling methods, namely discrete mapping and interpolation, but also offers greater flexibility in preserve properties of image contents. Within this framework we have devised a novel rescaling method based on constrained seam carving. Compared with unconstrained seam carving[1], the new method can preserve global geometry of image contents and confine nonlinear distortion to be within ± 1 pixel; compared with nearest neighbour mapping, it generates less visible artifacts; compared with interpolation methods, it can maintain color fidelity and sharpness in the original image. [ABSTRACT FROM AUTHOR]

An image compression algorithm using JPEG-LS and cubic spline interpolation (CSI) is presented in this paper. The CSI is developed in order to subsample image data with minimal distortion and to achieve image compression. It has been shown in literatures that the CSI can be combined with the transform-based image compression algorithm to develop a modified image compression codec. The compression ratio obtained from the modified codec is higher than which obtained from the standard transform-based codec at similar subjective quality of reconstructed image. This paper proposes a compression scheme which combines the CSI and JPEG-LS to form the modified JPEG-LS codec and further makes use of this modified codec to image compression. Experimental results show that the compression ratio of proposed scheme has been increased over 3 times higher than the compression ratio of original JPEG-LS image compression standard with similar visual quality. The proposed scheme reduces the loading of storing and transmission of image. [ABSTRACT FROM AUTHOR]

Quasi-interpolation by the radial basis functions is discussed in this paper. We construct the approximate interpolant with Gaussion function. The suitable value of the shape parameter is suggested. The given approximate interpolants can approximately interpolate, with arbitrary precision, any set of distinct data in one or several dimensions. They can approximate the corresponding exact interpolants with the same radial basis functions. The given method is simple without solving a linear system. Numerical examples show that the given method is effective. [ABSTRACT FROM AUTHOR]

A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh ]> such that limit surface of ]> interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes. [ABSTRACT FROM AUTHOR]

Interpolation of a sequence of points by spline curves generally requires the solution of a large system of equations. In this paper we provide a method which requires only local computation instead of a global system of equations and works for a large class of curves. This is a generalization of a method which previously developed for B-spline, NURBS and trigonometric CB-spline curves. Moreover, instead of numerical shape parameters we provide intuitive, user-friendly, control point based modification of the interpolating curve and the possibility of optimization as well. [ABSTRACT FROM AUTHOR]

We present a piecewise bi-cubic parametric G1 spline surface interpolating the vertices of any irregular quad mesh of arbitrary topological type. While tensor product surfaces need a chess boarder parameterization they are not well suited to model surfaces of arbitrary topology without introducing singularities. Our spline surface consists of tensor product patches, but they can be assembled with G1-continuity to model any non-tensor-product configuration. At common patch vertices an arbitrary number of patches can meet. The parametric domain is built by 4-splitting one unit square for each input quadrangular face. This key idea of our method enables to define a very low degree surface, that interpolates the input vertices and results from an explicit and local procedure : no global linear system has to be solved. [ABSTRACT FROM AUTHOR]

This paper applies a recently developed optimization method to examine the design of networks that monitor radiation under routine conditions. Annual gamma dose rates were modelled by combining regression with interpolation of the regression residuals using spatially exhaustive predictors and an anisotropic variogram of the residuals. Locations of monitoring stations were optimized by minimizing the spatially averaged regression kriging standard deviation. Results suggest that the current network design is near optimal in terms of interpolation error in predicted gamma dose rates. When the network was thinned to fewer stations, spatial optimization was more effective at reducing the interpolation error. Given that some EU countries are considering reducing station density in border regions, the analysis reported here may be useful in guiding which stations can be removed. [ABSTRACT FROM AUTHOR]

The presence of coverage holes can adversely affect the accurate representation of natural phenomena being monitored by a Wireless Sensor Network (WSN). Current WSN research aims at solving the coverage holes problem by deploying new nodes to maximize the coverage. In this work, we take a fundamentally different approach and argue that it is not always possible to maintain exhaustive coverage in large scale WSNs and hence coverage strategies based solely on the deployment of new nodes may fail. We suggest spatial interpolation as an alternative to node deployment and present Distributed Kriging (DISK), a localized method to interpolate a spatial phenomenon inside a coverage hole using available nodal data. We test the accuracy and cost of our scheme with extensive simulations and show that it is significantly more efficient than global interpolations. [ABSTRACT FROM AUTHOR]

The well known property of haptic interaction is the high refresh rate of the haptic loop that is necessary for the stability of the interaction. Therefore, only simple computations can be done within the loop. On the other hand, physically-based deformation modeling requires heavy computations. Moreover, if realistic behavior is desired, the models are non-linear and iterative solution is necessary. In this paper, the technique for haptic interaction with non-linear complex model is presented. Our approach, based on approximations of configuration space, is described and the accuracy of the approximation is experimentally determined. [ABSTRACT FROM AUTHOR]

To achieve the goal of high-speed and highly accurate machining, this paper proposes a real-time control algorithm based on Taylor΄s expansion for implementing variable feed rate non-uniform rational B-spline (NURBS) curve. To efficiently compute the NURBS curve and its derivatives in real-time, some effective methods are proposed. In contrast to the existing linear and circular interpolators, the proposed interpolator can maintain small contour errors and feedrate fluctuations. It also can shorten the size of machining code effectively compared with the linear and circular interpolators. At the same time, the NURBS-format milling codes adapting the dual NURBS Curve interpolation algorithm for 5 axis high-speed machining are adopted in this study. Besides, an effective algorithm is adopted to minimize the kinematics error by means of the shortest path scheme. [ABSTRACT FROM AUTHOR]

This paper presents a new look-ahead Scheme with adaptability of dynamics of machine tool for high speed consecutive micro-line interpolation. A backtracking arithmetic is used to calculate the speeds in the link points of consecutive micro-lines. Moreover, the speed limitations in the link points are analyzed in detail and the compound constraint conditions of the motion axes is introduced based the dynamic characteristics of machine tool. The case studies indicate that, using the scheme presented by this paper, the actual interpolation speed is closer to the command speed and the shock that results from the sharp fluctuate of feed speed is depressed, which will improve the machining efficiency and quality. [ABSTRACT FROM AUTHOR]

Tactile displays consisting of tactors located around the user΄s waist are a proven means for displaying directions in the horizontal plane. These displays use the body location of tactors to express directions. In current implementations the number of directions that can be expressed is limited to the number of tactors. However, the required number of tactors might not be available or their configuration requires too much effort. This paper describes the design and the evaluation of a presentation method that allows displaying direction between tactors by interpolated their intensity. We compare this method with the prevalent one by letting participants determine directions and having them navigate along tactile waypoints in a virtual environment. The interpolated direction presentation significantly improved the accuracy of perceived directions. Discrete direction presentation, however, proved to be better suited for waypoint navigation and was found easier to process. [ABSTRACT FROM AUTHOR]

Because of the discreteness of the interpolation interval, factual feedrate and displacement in interpolation are discrete basing on the interpolation interval, causing the error between the factual feedrate and theoretical feedrate planned according to continuous time. This error leads to a series of problems including conflict between the feedrate after the acceleration section and the programming feedrate, forward-moving or backward-moving of the deceleration point, and discrimination between final feedrate of interpolation and that of the end-point appointed, which negatively impacts machining precision. Thus, adjustment of feedrate planning basing on discrete interpolation interval was put forward. Problems mentioned above were thoroughly analyzed and solutions were presented for both the trapezoidal and S curve feedrate profiles. The efficiency of the adjustment was experimentally verified eventually. The presented adjustment has been used in practical projects currently. [ABSTRACT FROM AUTHOR]

This paper presents a new Medical Image Interpolation method by segmenting a medical image into two parts that are separately interpolated by different techniques based on Cubic Convolution Interpolation. Image interpolation is one of the most important technique which is be widely concerted. The medical image is larger than other images but also needs better processing. To solute the contradiction, we tried many ways and found the new interpolation method at last. In the simulations the proposed method exhibited a less edge distortion and not much more time than the conversational image interpolation. [ABSTRACT FROM AUTHOR]

This paper presents a new error concealment algorithm based on edge-oriented spatial interpolation as well as the JND (Just-Noticeable-Distortion) function to select valid edge information in adjacent blocks. Several conventional algorithms suffer from computational complexity or inaccurate recovery at missing blocks having strong edgeness. In order to alleviate these drawbacks, the proposed algorithm estimates a dominant direction to interpolate the missing pixel values. At this step, automatic thresholding method based on the JND function is proposed to determine a valid direction. Then, a lost block is recovered by weighted linear interpolation along the dominant vector. Finally, the median filter is applied to recover pixels that are not located on the line with the estimated dominant direction. Simulation results show that the proposed algorithm improves the PSNR of the recovered image approximately 2.5dB better than Hsia΄s and can significantly reduce computational complexity with keeping subjective quality as good as the RIBMAP method. [ABSTRACT FROM AUTHOR]

This paper presents a new method to construct C1 polynomial surface to the scattered data points. The given data points are triangulated into triangle networks, and a C1piecewise quadric interpolant patch is constructed at the adjacent region of each point. For the different cases of the number of adjacent points, two different algorithms are used for determining the patches, respectively. The surface patch on each triangle is constructed by the weighted combination of the three patches corresponding to the vertices of the triangle. All of the surface patches are put together to form the whole surface with C1 continuity. The construction of the surface by the new method is simple, and the surface has the shape suggested by the given data points and is more fairing. Comparison examples are included. [ABSTRACT FROM AUTHOR]

In an earlier work [4], we proposed a technique for identifying digital camera models based on trace evidence left by their proprietary interpolation algorithms. This work improves on our previous approach by incorporating methods to better detect interpolation artifacts in smooth image parts. To identify the source camera model of a digital image, new features that can detect traces of low-order interpolation are introduced and used in conjunction with a support vector machine based multi-class classifier. Experimental results are presented for source camera identification from among multiple digital camera models. [ABSTRACT FROM AUTHOR]

Chapter 6 of the book "Jules Verne: Journeys in Writing," by Timothy Unwin is presented. It examines the questions about whether Jules Verne's encyclopedic interpolations are optional supporting material ballast that can be offloaded by the reader-traveller in a hurry or material that is in some way deeply connected to the hermeneutics of the texts themselves.

This article has covered some of the basic principles behind tomographic imaging, including such topics as the Radon transform, interpolation for backprojection (both modified cubic spline and sinc), the Ram-Lak filter, missing angle techniques, maximum entropy techniques, resolution, the signal-to-noise ratio, and artifact limitations. Further details may be found in the references. [ABSTRACT FROM AUTHOR]