Tensors in Image Processing and Computer Vision

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.

A Review of Tensors and Tensor Signal Processing.- A Review of Tensors and Tensor Signal Processing.- 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.- Tensors in Image Processing.- Spherical Tensor Calculus for Local Adaptive Filtering.- On Geometric Transformations of Local Structure Tensors.- 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.- 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.- 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.- DT-MRI Connectivity and/or Tractography?: Two New Algorithms.