A Tensor Framework for Multidimensional Signal Processing

A Tensor Framework for Multidimensional Signal Processing (1994)

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by Carl-fredrik Westin

Venue:	Linkoping University, Sweden
Citations:	50 - 6 self

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Datum	Value	Source
TITLE	A Tensor Framework for Multidimensional Signal Processing	SVM HeaderParse 0.2
AUTHOR NAME	Carl-fredrik Westin	SVM HeaderParse 0.2
AUTHOR AFFIL	Department of Electrical Engineering	SVM HeaderParse 0.2
AUTHOR ADDR	Linköping University, S-581 83 Linköping, Sweden; Linköping 1994	SVM HeaderParse 0.2
ABSTRACT	ii About the cover The figure on the cover shows a visualization of a symmetric tensor in three dimensions, G = λ1ê1ê T 1 + λ2ê2ê T 2 + λ3ê3ê T 3 The object in the figure is the sum of a spear, a plate and a sphere. The spear describes the principal direction of the tensor λ1ê1ê T 1, where the length is proportional to the largest eigenvalue, λ1. The plate describes the plane spanned by the eigenvectors corresponding to the two largest eigenvalues, λ2(ê1ê T 1 + ê2ê T 2). The sphere, with a radius proportional to the smallest eigenvalue, shows how isotropic the tensor is, λ3(ê1ê T 1 + ê2ê T 2 + ê3ê T 3). The visualization is done using AVS [WWW94]. I am very grateful to Johan Wiklund for implementing the tensor viewer module used. This thesis deals with filtering of multidimensional signals. A large part of the thesis is devoted to a novel filtering method termed “Normalized convolution”. The method performs local expansion of a signal in a chosen filter basis which	SVM HeaderParse 0.2
YEAR	1994	INFERENCE
VENUE	Linkoping University, Sweden	INFERENCE
VENUE TYPE	TECHREPORT	INFERENCE
PAGES	91--7871	INFERENCE
TECH	PhD thesis	INFERENCE
CITATIONS	91 found	ParsCit 1.0