Piecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale complex

Léo Allemand-Giorgis 1 Georges-Pierre Bonneau 1 Stefanie Hahmann 2
1 MAVERICK - Models and Algorithms for Visualization and Rendering
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
2 IMAGINE - Intuitive Modeling and Animation for Interactive Graphics & Narrative Environments
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : Piecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale complex: The main contribution is the application of a shape preserving spline surfaces for reconstruction of a scalar field from a given Morse-Smale complex. In particular we approximate the jagged 1-cells on the complex with smooth B-splines. We introduce a C1 monotone Sibson spline interpolant and combine it with a reparameterization to reconstruct the 2-cells individually. The resulting surface piecewise smooth and obeys completely the given MS complex.
Type de document :
Communication dans un congrès
IEEE Visualization conference 2014, SciVis Posters, Nov 2014, Paris, France. IEEE, 2014
Liste complète des métadonnées



https://hal.inria.fr/hal-01100280
Contributeur : Stefanie Hahmann <>
Soumis le : mardi 20 janvier 2015 - 08:39:06
Dernière modification le : mercredi 14 décembre 2016 - 01:03:34
Document(s) archivé(s) le : mardi 21 avril 2015 - 10:05:41

Fichiers

ABH-PosterVis14.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01100280, version 1

Citation

Léo Allemand-Giorgis, Georges-Pierre Bonneau, Stefanie Hahmann. Piecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale complex. IEEE Visualization conference 2014, SciVis Posters, Nov 2014, Paris, France. IEEE, 2014. <hal-01100280>

Partager

Métriques

Consultations de
la notice

467

Téléchargements du document

359