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Convolutions on digital surfaces: on the way iterated convolutions behave and preliminary results about curvature estimation

Sébastien Fourey 1 Rémy Malgouyres 2
1 Equipe Image - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image et Instrumentation de Caen
Abstract : In [FoureyMalgouyres09] the authors present a generalized convolution operator for functions defined on digital surfaces. We provide here some extra material related to this notion. Some about the relative isotropy of the way a convolution kernel (or mask) grows when the convolution operator is iterated. We also provide preliminary results about a way to estimate curvatures on a digital surface, using the same convolution operator.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00338662
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Submitted on : Saturday, November 15, 2008 - 8:33:47 PM
Last modification on : Tuesday, October 19, 2021 - 11:34:58 PM
Long-term archiving on: : Wednesday, September 22, 2010 - 10:49:34 AM

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  • HAL Id : hal-00338662, version 2

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Sébastien Fourey, Rémy Malgouyres. Convolutions on digital surfaces: on the way iterated convolutions behave and preliminary results about curvature estimation. 2008. ⟨hal-00338662v2⟩

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