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453 results on '"locally linear embedding"'

451. MAP-AIDED LOCALLY LINEAR EMBEDDING METHODS FOR IMAGE PREDICTION

Author

D. Thoreau, Safa Cherigui, Philippe Guillotel, Patrick Pérez, Christine Guillemot, Technicolor R & I [Cesson Sévigné], Technicolor, Analysis representation, compression and communication of visual data (Sirocco ), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), CentraleSupélec-Télécom Bretagne-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Rennes (ENS Rennes)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Télécom Bretagne-Université de Rennes 1 (UR1), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Technicolor [Cesson Sévigné], Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-Télécom Bretagne-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-Télécom Bretagne-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Télécom Bretagne-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)

Subjects
Image prediction, 02 engineering and technology, Rate–distortion theory, block matching, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, locally linear embedding, Prediction methods, 0202 electrical engineering, electronic engineering, information engineering, H.264, Texture prediction, Block (data storage), Mathematics, template matching, Contextual image classification, business.industry, Template matching, 020207 software engineering, Pattern recognition, 020201 artificial intelligence & image processing, Artificial intelligence, business, intra coding, Linear embedding, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, Decoding methods
Abstract

International audience; Image prediction methods based on data dimensionality reduction techniques have been introduced in [1]. Although efficient, these methods suffer from limitations when the block to be predicted and its neighborhood (or template) are not correlated, e.g. in non homogenous texture areas. To cope with these limitations, this paper introduces new image prediction methods based on locally linear embedding (LLE) technique in which the required K-NN search is aided, at the decoder, by a block correspondence map, hence the name Map-Aided Locally Linear Embedding (MALLE) method. Another optimized variant of this approach, called oMALLE method, is also studied. The resulting prediction methods are shown to bring significant Rate-Distortion (RD) performance improvements when compared to H.264 Intra prediction modes (up to 40.78 % rate saving at low bit rates).

452. Connecting dots – From local covariance to empirical intrinsic geometry and locally linear embedding

Author

Hau-Tieng Wu, Chao Shen, Nan Wu, and John Malik

Subjects
Mahalanobis distance, Geodesic, Truncation, Structure (category theory), Nonlinear dimensionality reduction, 68P01, Mathematics - Statistics Theory, Ocean Engineering, local covariance matrix, Statistics Theory (math.ST), Curvature, Manifold, Matrix (mathematics), 62-07, 62-04, empirical intrinsic geometry, locally linear embedding, latent space model, FOS: Mathematics, Applied mathematics, geodesic distance, Mathematics
Abstract

Local covariance structure under the manifold setup has been widely applied in the machine learning society. Based on the established theoretical results, we provide an extensive study of two relevant manifold learning algorithms, empirical intrinsic geometry (EIG) and the locally linear embedding (LLE) under the manifold setup. Particularly, we show that without an accurate dimension estimation, the geodesic distance estimation by EIG might be corrupted. Furthermore, we show that by taking the local covariance matrix into account, we can more accurately estimate the local geodesic distance. When understanding LLE based on the local covariance structure, its intimate relationship with the curvature suggests a variation of LLE depending on the "truncation scheme". We provide a theoretical analysis of the variation., Comment: 25pages, 4 figures

453. Locally linear embedding-based prediction for 3D holoscopic image coding using HEVC

Author

Lucas, L. F. R., Caroline Conti, Nunes, P., Soares, L. D., Rodrigues, N. M. M., Pagliari, C. L., Da Silva, E. A. B., and Faria, S. M. M.

Subjects
HEVC, Image prediction, 3D holoscopic image coding, Locally linear embedding, Ciências Naturais::Ciências Físicas [Domínio/Área Científica]
Abstract

Holoscopic imaging is a prospective acquisition and display solution for providing true 3D content and fatigue-free 3D visualization. However, efficient coding schemes for this particular type of content are needed to enable proper storage and delivery of the large amount of data involved in these systems. Therefore, this paper proposes an alternative HEVC-based coding scheme for efficient representation of holoscopic images. In this scheme, some directional intra prediction modes of the HEVC are replaced by a more efficient prediction framework based on locally linear embedding techniques. Experimental results show the advantage of the proposed prediction for 3D holoscopic image coding, compared to the reference HEVC standard as well as previously presented approaches in this field. info:eu-repo/semantics/submittedVersion

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