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Tensors in Image Processing and Computer Vision

  • Book
  • © 2009

Overview

Editors:
  1. Santiago Aja-Fernández

    1. Escuela Técnica Superior de Ingenieros de Telecomunicacíon, Universidad de Valladolid, 47011 Valladolid, Spain

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  2. Rodrigo Luis García

    1. Escuela Técnica Superior de Ingenieros de Telecomunicacíon, Universidad de Valladolid, 47011 Valladolid, Spain

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  3. Dacheng Tao

    1. Dept. Computing, HongKong Polytechnic University, Hong Kong

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  4. Xuelong Li

    1. University of London Birkbeck College School of Computer Science & Information Systems, London, UK

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  • Presents the state-of-the-art research in tensor signal processing with applications to computer vision and image processing, to provide an invaluable resource for readers in the field

Part of the book series: Advances in Computer Vision and Pattern Recognition (ACVPR)

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Table of contents (22 chapters)

  1. Front Matter

    Pages I-IX
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  2. A Review of Tensors and Tensor Signal Processing

    1. Front Matter

      Pages 1-1
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    2. A Review of Tensors and Tensor Signal Processing

      • L. Cammoun, C.A. Castaño-Moraga, E. Muñoz-Moreno, D. Sosa-Cabrera, B. Acar, M.A. Rodriguez-Florido et al.
      Pages 1-32

  3. Tensors and Tensor Field Processing

    1. Front Matter

      Pages 33-33
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    2. Segmentation of Tensor Fields: Recent Advances and Perspectives

      • Rodrigo de Luis-García, Carlos Alberola-López, Carl-Fredrik Westin
      Pages 35-58

    3. A Variational Approach to the Registration of Tensor-Valued Images

      • Sebastiano Barbieri, Martin Welk, Joachim Weickert
      Pages 59-77

    4. Quality Assessment of Tensor Images

      • Emma Muñoz-Moreno, Santiago Aja-Fernández, Marcos Martin-Fernandez
      Pages 79-103

    5. Algorithms for Nonnegative Tensor Factorization

      • Stefanos Zafeiriou
      Pages 105-124

    6. PDE-based Morphology for Matrix Fields: Numerical Solution Schemes

      • Bernhard Burgeth, Michael Breuß, Stephan Didas, Joachim Weickert
      Pages 125-150

  4. Tensors in Image Processing

    1. Front Matter

      Pages 151-151
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    2. Spherical Tensor Calculus for Local Adaptive Filtering

      • Marco Reisert, Hans Burkhardt
      Pages 153-178

    3. On Geometric Transformations of Local Structure Tensors

      • Björn Svensson, Anders Brun, Mats Andersson, Hans Knutsson
      Pages 179-193

  5. Tensors in Computer Vision

    1. Front Matter

      Pages 195-195
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    2. Multi-View Matching Tensors from Lines for General Camera Models

      • Simone Gasparini, Peter Sturm
      Pages 197-214

    3. Binocular Full-Body Pose Recognition and Orientation Inference Using Multilinear Analysis

      • Bo Peng, Gang Qian
      Pages 215-236

    4. Applications of Multiview Tensors in Higher Dimensions

      • Marina Bertolini, GianMario Besana, Cristina Turrini
      Pages 237-260

    5. Constraints for the Trifocal Tensor

      • Alberto Alzati, Alfonso Tortora
      Pages 261-269

  6. Diffusion Tensor Imaging and Medical Applications

    1. Front Matter

      Pages 271-271
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    2. Review of Techniques for Registration of Diffusion Tensor Imaging

      • Emma Muñoz-Moreno, Rubén Cárdenes-Almeida, Marcos Martin-Fernandez
      Pages 273-297

    3. Practical and Intuitive Basis for Tensor Field Processing with Invariant Gradients and Rotation Tangents

      • Gordon L. Kindlmann, Carl-Fredrik Westin
      Pages 299-314
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Keywords

About this book

Tensor signal processing is an emerging field with important applications to computer vision and image processing.

This book presents the state of the art in this new branch of signal processing, offering a great deal of research and discussions by leading experts in the area. The wide-ranging volume offers an overview into cutting-edge research into the newest tensor processing techniques and their application to different domains related to computer vision and image processing.

This comprehensive text will prove to be an invaluable reference and resource for researchers, practitioners and advanced students working in the area of computer vision and image processing.

Editors and Affiliations

  • Escuela Técnica Superior de Ingenieros de Telecomunicacíon, Universidad de Valladolid, 47011 Valladolid, Spain

    Santiago Aja-Fernández, Rodrigo Luis García

  • Dept. Computing, HongKong Polytechnic University, Hong Kong

    Dacheng Tao

  • University of London Birkbeck College School of Computer Science & Information Systems, London, UK

    Xuelong Li

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