A Review of Tensors and Tensor Signal Processing L. Cammoun, C. A. Castaño-Moraga, E. Muñoz-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-García and Carlos Alberola-López 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 Muñoz-Moreno, Santiago Aja-Fernández 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 Björn 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 AlfonsoTortora Part IV: Diffusion Tensor Imaging and Medical Applications Review of Techniques for Registration of Diffusion Tensor Imaging Emma Muñoz-Moreno, Rubén Cárdenes-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 Yörük Strain Rate Tensor Estimation in Cine Cardiac MRI Based on Elastic Image Registration Gonzalo Vegas Sánchez-Ferrero, Antonio Tristán Vega, Lucilio Cordero Grande, Pablo Casaseca de la Higuera, Santiago Aja Fernández, Marcos Martín Fernández and Carlos Alberola López Strain Tensor Elastography: 2D and 3D Visualizations Darío Sosa-Cabrera, Karl Krissian, Javier González-Fernández, Luis Gómez-Déniz, Eduardo Rovaris, Carlos Castaño-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, Björn Svensson, Magnus Herberthson and Hans Knutsson User Interfaces to Interact with Tensor Fields Susana Merino-Caviedes and Marcos Martín-Fernández T-flash: Tensor Visualization in Medical Studio J. Wiklund, V. Nicolas, P. Rondao, M. Andersson and H. Knutsson