Tensors in Image Processing and Computer Vision

  • Santiago Aja-Fernández
  • Rodrigo de Luis García
  • Dacheng Tao
  • Xuelong Li

Part of the Advances in Pattern Recognition book series (ACVPR)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. 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
    2. Rodrigo de Luis-García, Carlos Alberola-López, Carl-Fredrik Westin
      Pages 35-58
    3. Sebastiano Barbieri, Martin Welk, Joachim Weickert
      Pages 59-77
    4. Emma Muñoz-Moreno, Santiago Aja-Fernández, Marcos Martin-Fernandez
      Pages 79-103
    5. Stefanos Zafeiriou
      Pages 105-124
    6. Bernhard Burgeth, Michael Breuß, Stephan Didas, Joachim Weickert
      Pages 125-150
  4. Tensors in Image Processing

    1. Front Matter
      Pages 151-151
    2. Marco Reisert, Hans Burkhardt
      Pages 153-178
    3. Björn Svensson, Anders Brun, Mats Andersson, Hans Knutsson
      Pages 179-193
  5. Tensors in Computer Vision

    1. Front Matter
      Pages 195-195
    2. Simone Gasparini, Peter Sturm
      Pages 197-214
    3. Marina Bertolini, GianMario Besana, Cristina Turrini
      Pages 237-260
    4. Alberto Alzati, Alfonso Tortora
      Pages 261-269
  6. Diffusion Tensor Imaging and Medical Applications

    1. Front Matter
      Pages 271-271
    2. Emma Muñoz-Moreno, Rubén Cárdenes-Almeida, Marcos Martin-Fernandez
      Pages 273-297
    3. Aurobrata Ghosh, Rachid Deriche
      Pages 315-334
    4. Burak Acar, Erdem Yörük
      Pages 335-353
    5. Gonzalo Vegas Sánchez-Ferrero, Antonio Tristán Vega, Lucilio Cordero Grande, Pablo Casaseca de la Higuera, Santiago Aja Fernández, Marcos Martín Fernández et al.
      Pages 355-379
    6. Darío Sosa-Cabrera, Karl Krissian, Javier González-Fernández, Luis Gómez-Déniz, Eduardo Rovaris, Carlos Castaño-Moraga et al.
      Pages 381-403
  7. Storage, Visualization and Interfaces

    1. Front Matter
      Pages 405-405
    2. Anders Brun, Marcos Martin-Fernandez, Burak Acar, Emma Munoz-Moreno, Leila Cammoun, Andreas Sigfridsson et al.
      Pages 407-428
    3. Susana Merino-Caviedes, Marcos Martín-Fernández
      Pages 429-454
    4. J. Wiklund, V. Nicolas, P. Rondao, M. Andersson, H. Knutsson
      Pages 455-466
    5. J. Wiklund, V. Nicolas, P. Rondao, M. Andersson, H. Knutsson
      Pages E1-E2
  8. Back Matter
    Pages 467-470

About this book


Tensor signal processing is an emerging field with important applications to computer vision and image processing. However, tensor applications and tensor-processing tools arise from very different areas, and these advances are too often kept within the areas of knowledge where they were first employed.

This book presents the state of the art in this new branch of signal processing, offering research and discussion by leading experts in the area. The broad coverage supplies an overview of cutting-edge research into the newest tensor-processing techniques and their application to different domains related to computer vision and image processing. The contents demonstrate how new challenges in computer vision and image processing lead to new procedures for dealing with tensors, which are more related to the tensor nature of the information itself than to a specific application. The book provides a unique perspective on tensor analysis that encompasses concepts from traditionally disparate areas of mathematics, physics and engineering, with a particular focus on practical applications.

Topics and features:

  • Describes the use of tensors and tensor field processing in a number of different applications
  • Examines spherical tensor calculus for local adaptive filtering and geometric transformations of local structure tensors
  • Contains contributions by internationally renowned authorities in the field
  • Discusses the use of tensors in computer vision applications, such as camera models and multilinear applications
  • Presents an entire section on medical imaging, describing applications from Diffusion Tensor Magnetic Resonance Imaging to strain tensor estimation in cardiac analysis and elastography imaging
  • Explores issues of storage, visualization and interfaces with tensors

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

Dr Santiago Aja-Fernández and Dr Rodrigo de Luis García are Associate Professors of Telecommunications Engineering at the Universidad de Valladolid. Dr Dacheng Tao is Nanyang Assistant Professor with the School of Computer Engineering at the Nanyang Technological University. Dr Xuelong Li is Senior Lecturer at Birkbeck, University of London.


3D DT-MRI Diffusion Image Processing Multi-dimensional Signal Processing Tensor image registration signal processing visualization

Editors and affiliations

  • Santiago Aja-Fernández
    • 1
  • Rodrigo de Luis García
    • 1
  • Dacheng Tao
    • 2
  • Xuelong Li
    • 3
  1. 1.Escuela Técnica Superior de Ingenieros de TelecomunicacíonUniversidad de Valladolid47011 ValladolidSpain
  2. 2.Dept. ComputingHongKong Polytechnic UniversityHong Kong
  3. 3.University of London Birkbeck College School of Computer Science & Information SystemsLondonUK

Bibliographic information

  • DOI
  • Copyright Information Springer London 2009
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-84882-298-6
  • Online ISBN 978-1-84882-299-3
  • Series Print ISSN 1617-7916
  • Buy this book on publisher's site