Riesz-Transforms vs. Derivatives: On the Relationship Between the Boundary Tensor and the Energy Tensor

Köthe, U., Felsberg, M.
Scale Space 2005
Scale Space and PDE Mathods in Computer Vision
Volume 3459, Pages 179-191
2005

Abstract

Traditionally, quadrature filters and derivatives have been considered as alternative approaches to low-level image analysis. In this paper we show that there actually exist close connections: We define the quadrature-based boundary tensor and the derivative-based gradient energy tensor which exhibit very similar behavior. We analyse the reason for this and determine how to minimize the difference. These insights lead to a simple and very efficient integrated feature detection algorithm.

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Bibtex entry

@inproceedings{kf05,
	Author = {K{\"o}the, U. and Felsberg, M.},
	Booktitle = {Scale Space and PDE Mathods in Computer Vision},
	Editor = {Kimmel, R. and Sochen, N. and Weickert, J.},
	Pages = {179--191},
	Publisher = {Springer},
	Series = {LNCS},
	Title = {Riesz-Transforms vs. Derivatives: On the Relationship
                 Between the Boundary Tensor and the Energy Tensor},
	Volume = {3459},
	Year = {2005}
}