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» On the Structure and Properties of the Quadrifocal Tensor
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IFIP
2001
Springer
13 years 12 months ago
The Phenomenon of Diffusion
This paper presents processing and visualization techniques for Diffusion Tensor Magnetic Resonance Imaging (DT-MRI). In DT-MRI, each voxel is assigned a tensor that describes loc...
Tor J. Larsen
VLSM
2005
Springer
14 years 1 months ago
Denoising Tensors via Lie Group Flows
The need to regularize tensor fields arise recently in various applications. We treat in this paper tensors that belong to matrix Lie groups. We formulate the problem of these SO(...
Yaniv Gur, Nir A. Sochen
SIAMSC
2010
155views more  SIAMSC 2010»
13 years 2 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim
HYBRID
1998
Springer
13 years 11 months ago
High Order Eigentensors as Symbolic Rules in Competitive Learning
We discuss properties of high order neurons in competitive learning. In such neurons, geometric shapes replace the role of classic `point' neurons in neural networks. Complex ...
Hod Lipson, Hava T. Siegelmann
MICCAI
2004
Springer
14 years 8 months ago
A Statistical Shape Model of Individual Fiber Tracts Extracted from Diffusion Tensor MRI
Diffusion Tensor MRI has become the preferred imaging modality to explore white matter structure and brain connectivity in vivo. Conventional region of interest analysis and voxel-...
Isabelle Corouge, Sylvain Gouttard, Guido Gerig