Piecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale complexReportar como inadecuado




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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 shapepreserving 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.

Keywords : Scalar field Visualization Geometric Modeling Monotone Surfaces Morse-Smale Complex





Autor: Léo Allemand-Giorgis - Georges-Pierre Bonneau - Stefanie Hahmann -

Fuente: https://hal.archives-ouvertes.fr/



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