Interactive Curvature Tensor Visualization on Digital Surfaces

Hélène Perrier 1, 2 Jérémy Levallois 3, 1 David Coeurjolly 1 Jean-Philippe Farrugia 2 Jean-Claude Iehl 2 Jacques-Olivier Lachaud 3
1 M2DisCo - Geometry Processing and Constrained Optimization
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
2 R3AM - Rendu Réaliste pour la Réalité Augmentée Mobile
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
3 LAMA - Laboratoire de Mathématiques
Abstract : Interactive visualization is a very convenient tool to explore complex scientific data or to try different parameter settings for a given processing algorithm. In this article, we present a tool to efficiently analyze the curvature tensor on the boundary of potentially large and dynamic digital objects (mean and Gaussian curvatures, principal curvatures , principal directions and normal vector field). More precisely, we combine a fully parallel pipeline on GPU to extract an adaptive triangu-lated isosurface of the digital object, with a curvature tensor estimation at each surface point based on integral invariants. Integral invariants being parametrized by a given ball radius, our proposal allows to explore interactively different radii and thus select the appropriate scale at which the computation is performed and visualized.
Keywords : Isosurface Visualization Digital Geometry Curvature Es-timation GPU
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Conference papers
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Submitted on : Wednesday, January 27, 2016 - 8:38:59 AM
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Hélène Perrier, Jérémy Levallois, David Coeurjolly, Jean-Philippe Farrugia, Jean-Claude Iehl, et al.. Interactive Curvature Tensor Visualization on Digital Surfaces. DGCI2016, Apr 2016, Nantes, France. pp.282--294, ⟨10.1007/978-3-319-32360-2_22⟩. ⟨hal-01262663⟩

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