Visualization and Processing of Tensor Fields: Advances and Perspectives [Hardcover]

This book provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. With numerous color figures, it details both the underlying mathematics and the applications of tensor fields.

Part I MODELS FOR DIFFUSION MRIModelling, Fitting and Sampling in Diffusion MRI - Daniel C AlexanderTensors, Polynomials, and Models for Directional Data - P. G. BatchelorA Mixture of Wisharts (MOW) Model for Multi-fiber Reconstruction - Bing Jian, Baba C. Vemuri, Evren ?OzarslanThe Algebra of Fourth-Order Tensors with Application to Diffusion MRI - Maher MoakherPart II HIGHER-LEVEL ANALYSIS OF DIFFUSION IMAGES Structure-Specific Statistical Mapping of White Matter Tracts - Paul A. Yushkevich, Hui Zhang, Tony J. Simon, James C. GeeAnalysis of distance/similarity measures for Diffusion Tensor Imaging - T.H.J.M. Peeters, P.R. Rodrigues, A. Vilanova, B.M. ter Haar RomenyPart III TENSOR FIELD VISUALIZATION Tensor Glyph Warping  Visualizing Metric Tensor Fields using Riemannian Exponential Maps - Anders Brun, Hans KnutssonInteractive Volume Rendering of Diffusion Tensor Data - Mario Hlawitschka, Gunther H. Weber, Alfred Anwander, Owen T. Carmichael, Bernd Hamann, Gerik ScheuermannDense Glyph Sampling for Visualization - Louis Feng, Ingrid Hotz, Bernd Hamann, Kenneth JoyPart IV TENSOR FIELD ANALYSIS IN THE PHYSICAL SCIENCES The Role of Tensor Fields for Satellite Gravity Gradiometry - Michael Schreiner Tensor Visualization and Defect Detection for Nematic Liquid Crystals using Shape Characteristics - T.J. Jankun-Kelly, Song Zhang, A. C. Callan-Jones, Robert A. Pelcovits, V. A. Slavin, David H. LaidlawA Tensor Approach to Elastography Analysis and Visualization - D. Sosa-Cabrera1, M.A. Rodriguez-Florido, E. Suarez-Santana and Juan Ruiz-AlzolaPart V TENSOR IMAGE STRUCTURE MODELS A Higher-Order Structure Tensor - Thomas Schultz, Joachim Weickert, Hans-Peter SeidelMonogenic Curvature Tensor as Image Model - Gerală•