Visualization and Processing of Tensor Fields

Joachim Weickert is Full Professor of Mathematics and Computer Science at Saarland University (Saarbrücken, Germany) where he heads the Mathematical Image Analysis Group. He performs research in image processing, computer vision and scientific computing, focusing on techniques based on partial differential equations and variational methods.

Models for Diffusion MRI.- Modelling, Fitting and Sampling in Diffusion MRI.- Tensors, Polynomials and Models for Directional Data.- A Mixture of Wisharts (MOW) Model for Multifiber Reconstruction.- The Algebra of Fourth-Order Tensors with Application to Diffusion MRI.- Higher-Level Analysis of Diffusion Images.- Structure-Specific Statistical Mapping of White Matter Tracts.- Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging.- Tensor Field Visualization.- Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps.- Interactive Volume Rendering of Diffusion Tensor Data.- Dense Glyph Sampling for Visualization.- Tensor Field Analysis in the Physical Sciences.- The Role of Tensor Fields for Satellite Gravity Gradiometry.- Tensor Visualization and Defect Detection for Nematic Liquid Crystals using Shape Characteristics.- A Tensor Approach to Elastography Analysis and Visualization.- Tensor Image Structure Models.- A Higher-Order Structure Tensor.- Monogenic Curvature Tensor as Image Model.- Filtering with Tensors.- A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields.- Coordinates-Based Diffusion Over the Space of Symmetric Positive-Definite Matrices.- Variational Methods for Denoising Matrix Fields.- An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Images.