Representing local structure using tensors II
2011 (English)In: Proceedings of the 17th Scandinavian conference on Image analysis, Springer, 2011, 545-556 p.Conference paper (Refereed)
Estimation of local spatial structure has a long history and numerous analysis tools have been developed. A concept that is widely recognized as fundamental in the analysis is the structure tensor. However, precisely what it is taken to mean varies within the research community. We present a new method for structure tensor estimation which is a generalization of many of it's predecessors. The method uses filter sets having Fourier directional responses being monomials of the normalized frequency vector, one odd order sub-set and one even order sub-set. It is shown that such filter sets allow for a particularly simple way of attaining phase invariant, positive semi-definite, local structure tensor estimates. We continue to compare a number of known structure tensor algorithms by formulating them in monomial filter set terms. In conclusion we show how higher order tensors can be estimated using a generalization of the same simple formulation.
Place, publisher, year, edition, pages
Springer, 2011. 545-556 p.
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 6688
higher order, monomial filter, quadrature, structure tensor
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-78924DOI: 10.1007/978-3-642-21227-7_51ISI: 000308543900051ISBN: 978-3-642-21226-0 (print)ISBN: 978-3-642-21227-7 (online)OAI: oai:DiVA.org:liu-78924DiVA: diva2:536938
17th Scandinavian Conference on Image Analysis, SCIA 2011; Ystad; Sweden