L. Cammoun, C.A. Castaño-Moraga, E. Muñoz-Moreno, D. Sosa-Cabrera, B. Acar (auth.), Assoc.Prof. Santiago Aja-Fernández, Assoc.Prof. Rodrigo de Luis García, Dr. Dacheng Tao, Dr. Xuelong Li (eds.)9781848822986, 1848822987, 1848822995, 9781848822993
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.
Table of contents :
Front Matter….Pages I-IX
Front Matter….Pages 1-1
A Review of Tensors and Tensor Signal Processing….Pages 1-32
Front Matter….Pages 33-33
Segmentation of Tensor Fields: Recent Advances and Perspectives….Pages 35-58
A Variational Approach to the Registration of Tensor-Valued Images….Pages 59-77
Quality Assessment of Tensor Images….Pages 79-103
Algorithms for Nonnegative Tensor Factorization….Pages 105-124
PDE-based Morphology for Matrix Fields: Numerical Solution Schemes….Pages 125-150
Front Matter….Pages 151-151
Spherical Tensor Calculus for Local Adaptive Filtering….Pages 153-178
On Geometric Transformations of Local Structure Tensors….Pages 179-193
Front Matter….Pages 195-195
Multi-View Matching Tensors from Lines for General Camera Models….Pages 197-214
Binocular Full-Body Pose Recognition and Orientation Inference Using Multilinear Analysis….Pages 215-236
Applications of Multiview Tensors in Higher Dimensions….Pages 237-260
Constraints for the Trifocal Tensor….Pages 261-269
Front Matter….Pages 271-271
Review of Techniques for Registration of Diffusion Tensor Imaging….Pages 273-297
Practical and Intuitive Basis for Tensor Field Processing with Invariant Gradients and Rotation Tangents….Pages 299-314
From Second to Higher Order Tensors in Diffusion-MRI….Pages 315-334
DT-MRI Connectivity and/or Tractography?: Two New Algorithms….Pages 335-353
Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic Image Registration….Pages 355-379
Strain Tensor Elastography: 2D and 3D Visualizations….Pages 381-403
Front Matter….Pages 405-405
Similar Tensor Arrays – A Framework for Storage of Tensor Array Data….Pages 407-428
User Interfaces to Interact with Tensor Fields….Pages 429-454
Front Matter….Pages 405-405
T-flash: Tensor Visualization in Medical Studio….Pages 455-466
DT-MRI Connectivity and/or Tractography?: Two New Algorithms….Pages E1-E2
Back Matter….Pages 467-470
Reviews
There are no reviews yet.