Visualization and Processing of Higher Order Descriptors for Multi-Valued Data

Part I: Mathematical Foundations: 1 Cem Yolcu and Evren Özarslan: Diffusion-Weighted Magnetic Resonance Signal for General Gradient Waveforms: Multiple Correlation Function Framework, Path Integrals, and Parallels Between Them. - 2 T. C. J. Dela Haije, A. Fuster and L. M. J. Florack: Finslerian Diffusion and the Bloch-Torrey Equation. - 3 M. Moakher and P. J. Basser: Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries. - 4 Yue Zhang, Jonathan Palacios and Eugene Zhang: Topology of 3D Linear Symmetric Tensor Fields. - 5 Carmeliza Navasca and Deonnia N. Pompey: Random Projections for Low Multilinear Rank Tensors. - Part II: Processing, Filtering and Interpolation: 6 Jasper J. van de Gronde, Mikola Lysenko and Jos B. T. M. Roerdink: Path-Based Mathematical Morphology on Tensor Fields. - 7 Andreas Kleefeld and Bernhard Burgeth: Processing Multispectral Images via Mathematical Morphology. - 8 Luc Florack, Tom Dela Haije and Andrea Fuster: Direction-Controlled DTI Interpolation. - 9 Daniel Jörgens and Rodrigo Moreno: Tensor Voting: Current State, Challenges and New Trends in the Context of Medical Image Analysis. - Part III: Visualization: 10 Olivier Vaillancourt, Maxime Chamberland, Jean-Christophe Houde and Maxime Descoteaux: Visualization of Diffusion Propagator and Multiple Parameter Diffusion Signal. - 11 Sujal Bista, Jiachen Zhuo, Rao P. Gullapalli and Amitabh Varshney: Visual Knowledge Discovery for Diffusion Kurtosis Datasets of the Human Brain. - 12 Tobias Isenberg: A Survey of Illustrative Visualization Techniques for Diffusion-Weighted MRI Tractography. - 13 Valentin Zobel, Jan Reininghaus and Ingrid Hotz: Visualizing Symmetric Indefinite 2D Tensor Fields sing the Heat Kernel Signature. - Part IV: Statistical Analysis: 14 Maxime Taquet, Benoit Scherrer and Simon K. Warfield: A Framework for the Analysis of Diffusion Compartment Imaging (DCT). - 15 Lauren J. O Donnell and Thomas Schultz:Statistical and Machine Learning Methods for Neuroimaging: Examples, Challenges, and Extensions to Diffusion Imaging Data. - Part V: Applications: 16 A. aries, T. Luciani, P. H. Pisciuneri, M. B. Nik, S. L. Yilmaz, P. Givi and G. E. Marai A Clustering Method for Identifying Regions of Interest in Turbulent Combustion Tensor Fields. - 17 Mark Schöneich, Andrea Kratz, Valentin Zobel, Gerik Scheuermann, Markus Stommel, and Ingrid Hotz: Tensor Lines in Engineering Success, Failure, and Open Questions. - 18 Vesna Prchkovska, Magí Andorrà , Pablo Villoslada, Eloy Martinez-Heras, Remco Duits, David Fortin, Paulo Rodrigues and Maxime Descoteaux: Contextual Diffusion Image Post-Processing Aids Clinical Applications.