Tensors in Image Processing and Computer Vision

A Review of Tensors and Tensor Signal Processing L. Cammoun, C. A. Castano-Moraga, E. Munoz-Moreno, D. Sosa-Cabrera, B. Acar, M.A. Rodriguez-Florido, A. Brun, H. Knutsson and J.P. Thiran Part I: Tensors and Tensor Field Processing Segmentation of Tensor Fields: Recent Advances and Perspectives Rodrigo de Luis-Garcia and Carlos Alberola-Lopez and Carl-Fredrik Westin A Variational Approach to the Registration of Tensor-Valued Images Sebastiano Barbieri, Martin Welk and Joachim Weickert Quality Assessment of Tensor Images Emma Munoz-Moreno, Santiago Aja-Fernandez and Marcos Martin-Fernandez Algorithms for Nonnegative Tensor Factorization Stefanos Zafeiriou PDE-based Morphology for Matrix Fields: Numerical Solution Schemes Bernhard Burgeth, Michael Breuss, Stephan Didas and Joachim Weickert Part II: Tensors in Image Processing Spherical Tensor Calculus for Local Adaptive Filtering Marco Reisert and Hans Burkhardt On Geometric Transformations of Local Structure Tensors Bjorn Svensson, Anders Brun, Mats Andersson and Hans Knutsson Part III: Tensors in Computer Vision Multi-view Matching Tensors from Lines for General Camera Models Simone Gasparini and Peter Sturm Binocular Full-body Pose Recognition and Orientation Inference Using Multilinear Analysis Bo Peng and Gang Qian Applications of Multiview Tensors in Higher Dimensions Marina Bertolini, GianMario Besana and Cristina Turrini Constraints for the Trifocal Tensor Alberto Alzati and Alfonso Tortora Part IV: Diffusion Tensor Imaging and Medical Applications Review of Techniques for Registration of Diffusion Tensor Imaging Emma Munoz-Moreno, Ruben Cardenes-Almeida and Marcos Martin-Fernandez Practical and Intuitive Basis for Tensor Field Processing with Invariant Gradients and Rotation Tangents Gordon L. Kindlmann and Carl-Fredrik Westin From Second to Higher Order Tensors in Diffusion-MRI Aurobrata Ghosh and Rachid Deriche DT-MRI Connectivity and/or Tractography: Two New Algorithms Burak Acar and Erdem Yoruk Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic Image Registration Gonzalo Vegas Sanchez-Ferrero, Antonio Tristan Vega, Lucilio Cordero Grande, Pablo Casaseca de la Higuera, Santiago Aja Fernandez, Marcos Martin Fernandez and Carlos Alberola Lopez Strain Tensor Elastography: 2D and 3D Visualizations Dario Sosa-Cabrera, Karl Krissian, Javier Gonzalez-Fernandez, Luis Gomez-Deniz, Eduardo Rovaris, Carlos Castano-Moraga and Juan Ruiz-Alzola Part V: Storage, Visualization and Interfaces Similar Tensor Arrays: A Framework for Storage of Tensor Array Data 407 Anders Brun, Marcos Martin-Fernandez, Burak Acar, Emma Munoz-Moreno, Leila Cammoun, Andreas Sigfridsson, Dario Sosa-Cabrera, Bjorn Svensson, Magnus Herberthson and Hans Knutsson User Interfaces to Interact with Tensor Fields Susana Merino-Caviedes and Marcos Martin-Fernandez T-flash: Tensor Visualization in Medical Studio J. Wiklund, V. Nicolas, P. Rondao, M. Andersson and H. Knutsson