A scale invariant covariance structure on jet space

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4 Citationer (Scopus)

Abstract

This paper considers scale invariance of statistical image models. We study statistical scale invariance of the covariance structure of jet space under scale space blurring and derive the necessary structure and conditions of the jet covariance matrix in order for it to be scale invariant. As part of the derivation, we introduce a blurring operator At that acts on jet space contrary to doing spatial filtering and a scaling operator Ss. The stochastic Brownian image model is an example of a class of functions which are scale invariant with respect to the operators At and Ss. This paper also includes empirical results where we estimate the scale invariant jet covariance of natural images and show that it resembles that of Brownian images.
OriginalsprogEngelsk
TitelDeep Structure, Singularities, and Computer Vision
Forlag<Forlag uden navn>
Publikationsdato2005
Sider12-23
ISBN (Trykt)978-3-540-29836-6
DOI
StatusUdgivet - 2005
BegivenhedFirst International Workshop in Deep Structure, Singularities, and Computer Vision (DSSCV) - Maastricht, Holland
Varighed: 29 nov. 2010 → …
Konferencens nummer: 1

Konference

KonferenceFirst International Workshop in Deep Structure, Singularities, and Computer Vision (DSSCV)
Nummer1
Land/OmrådeHolland
ByMaastricht
Periode29/11/2010 → …
NavnLecture notes in computer science
Vol/bind3753/2005
ISSN0302-9743

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