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Regularisation of images defined on non-flat surfaces

Lucero Diana Lopez Perez 1
1 ODYSSEE - Computer and biological vision
DI-ENS - Département d'informatique de l'École normale supérieure, CRISAM - Inria Sophia Antipolis - Méditerranée , ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : We are interested in PDE-based approaches for regularization of scalar and vector-valued images defined over non-flat surfaces and their applications for image processing problems. We study the relationship between existing methods and compare them in terms of performance and ease of implementation. We develop new numerical methods to tackle divergence-like operators for regularization of images over triangulated surfaces. We generalize the Beltrami Flow regularization technique to images defined on implicit and explicit surfaces. Implementation schemes for these methods are proposed and validated by experimental results. We also show an application of our work to a concrete retinotopic mapping problem.
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https://tel.archives-ouvertes.fr/tel-00141417
Contributor : Lucero Diana Lopez Perez <>
Submitted on : Thursday, April 12, 2007 - 6:46:03 PM
Last modification on : Thursday, October 29, 2020 - 3:01:25 PM
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Lucero Diana Lopez Perez. Regularisation of images defined on non-flat surfaces. Human-Computer Interaction [cs.HC]. Université Nice Sophia Antipolis, 2006. English. ⟨tel-00141417v2⟩

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