enflame 发表于 2025-3-28 15:44:48
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Higher Rank Tensors in Diffusion MRI When the rank of the tensor being used is 2, one recovers traditional diffusion tensor imaging (DTI). Therefore our approach can be seen as a generalization of DTI. The properties of generalized diffusion tensors are discussed. The shortcomings of DTI experienced in the presence of orientational heGerminate 发表于 2025-3-29 08:24:15
Strategies for Direct Visualization of Second-Rank Tensor FieldsHere, we focus on the first task and evaluate integral and glyph based methods with regard to their power of providing an intuitive visual representation. Tensor fields are considered in a differential geometric context, using a coordinate-free notation when possible. An overview and classification枯萎将要 发表于 2025-3-29 12:36:26
Tensor Invariants and their Gradients This chapter describes an anatomically-motivated method of detecting edges in diffusion tensor fields based on the . of invariants. Three particular invariants (the mean, variance, and skewness of the tensor eigenvalues) are described in two ways: first, as the geometric parameters of an intuitiveAER 发表于 2025-3-29 17:02:13
Visualizing the Topology of Symmetric, Second-Order, Time-Varying Two-Dimensional Tensor Fieldsinear singularities. The structural stability of these features and their corresponding separatrices are also analyzed. From here, we highlight the main techniques for visualizing and simplifying the topology of both static and time-varying 2D tensor fields.phytochemicals 发表于 2025-3-29 21:29:22
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