Interactive Curvature Tensor Visualization on Digital Surfaces
| Autor: | Hélène Perrier, Jean-Philippe Farrugia, Jean-Claude Iehl, Jacques-Olivier Lachaud, David Coeurjolly, Jérémy Levallois |
|---|---|
| Přispěvatelé: | Geometry Processing and Constrained Optimization (M2DisCo), Laboratoire d'InfoRmatique en Image et Systèmes d'information (LIRIS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-École Centrale de Lyon (ECL), Université de Lyon-Université Lumière - Lyon 2 (UL2)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Université Lumière - Lyon 2 (UL2), Rendu Réaliste pour la Réalité Augmentée Mobile (R3AM), Laboratoire de Mathématiques (LAMA), Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]), Springer, ANR-11-BS02-0009,DigitalSnow,Géométrie discrète et mathématiques appliquées pour la métamorphose de neige(2011), ANR-10-BLAN-0205,KIDICO,Intégration des connaissances pour la convolution discrète, la segmentation et la reconstruction d'informations dans les images digitales(2010), ANR-11-LABX-0063,PRIMES,Physique, Radiobiologie, Imagerie Médicale et Simulation(2011) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Riemann curvature tensor
Computation MathematicsofComputing_NUMERICALANALYSIS GPU Boundary (topology) 02 engineering and technology [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG] symbols.namesake Principal curvature Isosurface 0202 electrical engineering electronic engineering information engineering Digital geometry Computer vision Interactive visualization Mathematics ComputingMethodologies_COMPUTERGRAPHICS Digital Geometry business.industry Curvature Es-timation 020207 software engineering Isosurface Visualization Visualization [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV] symbols 020201 artificial intelligence & image processing Artificial intelligence business Algorithm |
| Zdroj: | DGCI2016 DGCI2016, Apr 2016, Nantes, France. pp.282--294, ⟨10.1007/978-3-319-32360-2_22⟩ Discrete Geometry for Computer Imagery ISBN: 9783319323596 DGCI |
| DOI: | 10.1007/978-3-319-32360-2_22⟩ |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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