Titlebook: Visualization and Processing of Tensor Fields; Advances and Perspec David Laidlaw,Joachim Weickert Book 2009 Springer-Verlag Berlin Heidelb

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Monogenic Curvature Tensor as Image Models. By combining differential geometry and Clifford analysis, the monogenic curvature tensor can be derived to perform a split of identity and to enable simultaneous estimation of local amplitude, phase, main orientation, and angle of intersection in a monogenic scale-space framework.

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Coordinates-Based Diffusion Over the Space of Symmetric Positive-Definite Matricescase, the image is divided into voxels where each voxel is described by a 3 × 3 symmetric positive-definite (SPD) matrix. In this chapter, we present an intrinsic approach for diffusion over the space of n × n symmetric positive-definite matrices, denoted by P.. The basis of this framework is the de

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An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Imagestions. In this context, we can roughly divide the methodology into three different formulations, namely the scale space formulation, the regularization formulation, and the inverse scale space formulation. In this chapter, we propose an inverse scale space formulation for matrix valued images using

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Modelling, Fitting and Sampling in Diffusion MRIesign, as well as various objective functions for model fitting.Experiments and results compare the different methods and provide insight into the accuracy with which we can measure axon density and diameters.

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Analysis of Distance/Similarity Measures for Diffusion Tensor Imagingxpect that this framework will help in the initial selection of a measure for a given application and to identify when the generation of a new measure is needed. This framework will also allow the comparison of new measures with existing ones.

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