caa a22 4500 605540500 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00371-014-0922-9 doi (NATIONALLICENCE)springer-10.1007/s00371-014-0922-9 Global diffusion method for smoothing triangular mesh [Elektronische Daten] [Ahmed ElOuafdi, Djemel Ziou] In this paper, we propose a new smoothing method based on physical principles. The smoothing process is modeled using the heat transfer process. We start from the global equation of heat conservation and we decompose it into basic laws. The numerical scheme is derived directly from the discretization of the basic heat transfer laws using computation algebraic topological tools, thus providing a physical and topological explanation for each step of the discretization process. In such a way, the geometry, topology and physics are concurring together in a unified framework to define and simulate the diffusion process to reduce random noise on the surface of the object. Experimental results show a good performance in improvement of the proposed approach compared to existing smoothing methods. Springer-Verlag Berlin Heidelberg, 2014 Anisotropic diffusion nationallicence Enhancing nationallicence Physics-based modeling nationallicence Mesh smoothing nationallicence ElOuafdi Ahmed Faculté Polydisciplinaire Ouarzazate, Ouarzazate, Morocco aut Ziou Djemel Faculté des sciences, Universit de Sherbrooke, Sherbrooke, Canada aut The Visual Computer Springer Berlin Heidelberg 31/3(2015-03-01), 295-310 0178-2789 31:3<295 2015 31 371 https://doi.org/10.1007/s00371-014-0922-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00371-014-0922-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- ElOuafdi Ahmed Faculté Polydisciplinaire Ouarzazate, Ouarzazate, Morocco aut NATIONALLICENCE 700 1- Ziou Djemel Faculté des sciences, Universit de Sherbrooke, Sherbrooke, Canada aut NATIONALLICENCE 773 0- The Visual Computer Springer Berlin Heidelberg 31/3(2015-03-01), 295-310 0178-2789 31:3<295 2015 31 371