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» Computing symmetric rank for symmetric tensors
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DSSCV
2005
Springer
13 years 11 months ago
A Riemannian Framework for the Processing of Tensor-Valued Images
In this paper, we present a novel framework to carry out computations on tensors, i.e. symmetric positive definite matrices. We endow the space of tensors with an affine-invariant...
Pierre Fillard, Vincent Arsigny, Nicholas Ayache, ...
IMR
2003
Springer
13 years 11 months ago
Meshing of Diffusion Surfaces for Point-Based Tensor Field Visualization
The visualization of 3D vector and tensor fields in a 2D image is challenging because the large amount of information will either be mixed during projection to 2D or lead to seve...
Ralf Sondershaus, Stefan Gumhold
IWCIA
2004
Springer
13 years 11 months ago
Tensor Algebra: A Combinatorial Approach to the Projective Geometry of Figures
Abstract. This paper explores the combinatorial aspects of symmetric and antisymmetric forms represented in tensor algebra. The development of geometric perspective gained from ten...
David N. R. McKinnon, Brian C. Lovell
DAGSTUHL
2010
13 years 7 months ago
Tracking Lines in Higher Order Tensor Fields
While tensors occur in many areas of science and engineering, little has been done to visualize tensors with order higher than two. Tensors of higher orders can be used for exampl...
Mario Hlawitschka, Gerik Scheuermann
VISUALIZATION
2005
IEEE
13 years 11 months ago
2D Asymmetric Tensor Analysis
Analysis of degenerate tensors is a fundamental step in finding the topological structures and separatrices in tensor fields. Previous work in this area have been limited to ana...
Xiaoqiang Zheng, Alex Pang