Tensors in Image Processing and Computer Vision

ISBN: 978-1-84882-298-6 (Print) 978-1-84882-299-3 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages I-IX

  2. A Review of Tensors and Tensor Signal Processing

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 1-32

      A Review of Tensors and Tensor Signal Processing

  3. Tensors and Tensor Field Processing

    1. Front Matter

      Pages 33-33

    2. No Access

      Chapter

      Pages 35-58

      Segmentation of Tensor Fields: Recent Advances and Perspectives

    3. No Access

      Chapter

      Pages 59-77

      A Variational Approach to the Registration of Tensor-Valued Images

    4. No Access

      Chapter

      Pages 79-103

      Quality Assessment of Tensor Images

    5. No Access

      Chapter

      Pages 105-124

      Algorithms for Nonnegative Tensor Factorization

    6. No Access

      Chapter

      Pages 125-150

      PDE-based Morphology for Matrix Fields: Numerical Solution Schemes

  4. Tensors in Image Processing

    1. Front Matter

      Pages 151-151

    2. No Access

      Chapter

      Pages 153-178

      Spherical Tensor Calculus for Local Adaptive Filtering

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      Chapter

      Pages 179-193

      On Geometric Transformations of Local Structure Tensors

  5. Tensors in Computer Vision

    1. Front Matter

      Pages 195-195

    2. No Access

      Chapter

      Pages 197-214

      Multi-View Matching Tensors from Lines for General Camera Models

    3. No Access

      Chapter

      Pages 215-236

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

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      Chapter

      Pages 237-260

      Applications of Multiview Tensors in Higher Dimensions

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      Chapter

      Pages 261-269

      Constraints for the Trifocal Tensor

  6. Diffusion Tensor Imaging and Medical Applications

    1. Front Matter

      Pages 271-271

    2. No Access

      Chapter

      Pages 273-297

      Review of Techniques for Registration of Diffusion Tensor Imaging

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      Chapter

      Pages 299-314

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

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      Chapter

      Pages 315-334

      From Second to Higher Order Tensors in Diffusion-MRI

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      Chapter

      Pages 335-353

      DT-MRI Connectivity and/or Tractography?: Two New Algorithms

    6. No Access

      Chapter

      Pages 355-379

      Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic Image Registration

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      Chapter

      Pages 381-403

      Strain Tensor Elastography: 2D and 3D Visualizations

  7. Storage, Visualization and Interfaces

    1. Front Matter

      Pages 405-405

    2. No Access

      Chapter

      Pages 407-428

      Similar Tensor Arrays – A Framework for Storage of Tensor Array Data

    3. No Access

      Chapter

      Pages 429-454

      User Interfaces to Interact with Tensor Fields

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