S
Satyanad Kichenassamy
Researcher at University of Reims Champagne-Ardenne
Publications - 70
Citations - 3753
Satyanad Kichenassamy is an academic researcher from University of Reims Champagne-Ardenne. The author has contributed to research in topics: Nonlinear system & Singularity. The author has an hindex of 22, co-authored 64 publications receiving 3643 citations. Previous affiliations of Satyanad Kichenassamy include Courant Institute of Mathematical Sciences & Max Planck Society.
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Proceedings ArticleDOI
Gradient flows and geometric active contour models
TL;DR: This paper analyzes geometric active contour models discussed previously from a curve evolution point of view and proposes some modifications based on gradient flows relative to certain new feature-based Riemannian metrics, leading to a novel snake paradigm in which the feature of interest may be considered to lie at the bottom of a potential well.
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A geometric snake model for segmentation of medical imagery
TL;DR: This work employs the new geometric active contour models, previously formulated, for edge detection and segmentation of magnetic resonance imaging (MRI), computed tomography (CT), and ultrasound medical imagery, and leads to a novel snake paradigm in which the feature of interest may be considered to lie at the bottom of a potential well.
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Conformal curvature flows: From phase transitions to active vision
TL;DR: In this article, the authors analyze geometric active contour models from a curve evolution point of view and propose some modifications based on gradient flows relative to certain new feature-based Riemannian metrics.
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The Perona-Malik paradox
TL;DR: The Perona--Malik equation is a formally ill-posed parabolic equation for which simple discretizations are nevertheless numerically found to be stable.
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Existence and nonexistence of solitary wave solutions to higher-order model evolution equations
TL;DR: In this article, the existence of solitary wave solutions to higher-order model evolution equations arising from water wave theory is discussed, and a simple direct method for finding monotone solitary wave solution is introduced.