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Aja-Fernandez S., Luis Garcıa R., Tao D., Li X. Tensors in Image Processing and Computer Vision

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Aja-Fernandez S., Luis Garcıa R., Tao D., Li X. Tensors in Image Processing and Computer Vision
Издательство Springer, 2009, -466 pp.
Over the past few years, tensor processing tools have become more and more popular in the fields of computer vision and image processing, and tensor-valued image modalities have also been more commonly employed, with the remarkable example of Diffusion Tensor Magnetic Resonance Imaging.
However, tensor applications and tensor processing tools arise from very different areas. This can prevent important advances from rapidly spreading over the scientific community. Even though novel discoveries can greatly benefit many heterogeneous fields such as medical image processing or multilinear analysis, these advances are too often kept within the areas of knowledge where they were first employed.
Given this fact, a compilation of some of the most recent advances in tensor processing can be a valuable tool for the scientific community, thus providing a useful reference state of the artfor tensor processing applications as well as a general insight on the areas where tensor processing is being successfully applied.
The idea behind this book started after the Tensor Workshop held at the IEEE Computer Society Conference on Computer Vision and Pattern Recognition held in Anchorage, Alaska, in June 2008. This workshop gathered experts from different fields working on tensor processing, and some of the ideas presented there were further developed toghether with the results of the Tensor Workshop held earlier in Gran Canaria (Spain) in November 2006, which was sponsored by the SIMILAR Network of Excellence of the European 6th Framework Programme.
As this book comprises theoretical advances and applications regarding very heterogeneous areas of image processing and computer vision, it has been organized into five parts, which are nevertheless preceeded by an introductory chapter about the different applications of the use of tensors in signal processing. Part I is devoted to the use of tensors and tensor field processing in general. The processing tools described in these chapters can be applied in a number of different applications. In Part II, two tensor techniques for image processing are presented. Later, Part III focuses on the use of tensors in computer vision applications, such as camera models or multilinear applications. As medical imaging is one of the areas that has taken more advantage of the advances of tensor processing, Part IV is dedicated to this issue, collecting applications from Diffusion Tensor Magnetic Resonance Imaging to strain tensor estimation in cardiac analysis or elastography imaging. Finally, Part V is devoted to storage, visualization and interfaces with tensors, an issue of considerable importance since this new data modality presents particularities that require new approaches to these otherwise traditional problems.
The preparation of this book has been an arduous and difficult task. We would like to thank all the authors for their great effort and dedication in preparing their contributions. Also, all the reviewers, and specially the members of the editorial boards of the Tensor Workshops at CVPR’08 and in Gran Canaria in 2006, deserve our utmost gratitude. Thanks a lot to all of them.
A Review of Tensors and Tensor Signal Processing
Part I Tensors and Tensor Field Processing
Segmentation of Tensor Fields: Recent Advances and Perspectives
A Variational Approach to the Registration of Tensor-Valued Images
Quality Assessment of Tensor Images
Algorithms for Nonnegative Tensor Factorization
PDE-based Morphology for Matrix Fields: Numerical Solution Schemes
Part II Tensors in Image Processing
Spherical Tensor Calculus for Local Adaptive Filtering
On Geometric Transformations of Local Structure Tensors
Part III Tensors in Computer Vision
Multi-View Matching Tensors from Lines for General Camera Models
Binocular Full-Body Pose Recognition and Orientation Inference Using
Multilinear Analysis
Applications of Multiview Tensors in Higher Dimensions
Constraints for the Trifocal Tensor
Part IV Diffusion Tensor Imaging and Medical Applications
Review of Techniques for Registration of Diffusion Tensor Imaging
Practical and Intuitive Basis for Tensor Field Processing with Invariant
Gradients and Rotation Tangents
From Second to Higher Order Tensors in Diffusion-MRI
DT-MRI Connectivity and/or Tractography?: Two New Algorithms
Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic
Image Registration
Strain Tensor Elastography: 2D and 3D Visualizations
Part V Storage, Visualization and Interfaces
Similar Tensor Arrays – A Framework for Storage of Tensor Array Data
User Interfaces to Interact with Tensor Fields
T-flash: Tensor Visualization in Medical Studio
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