MESH swMATH ID: 7730 Software Authors: N. Aspert, D. Santa-Cruz; T. Ebrahimi Description: M.E.S.H. : Measuring Error between Surfaces using the Hausdorff distance. This paper proposes an efficient method to estimate the distance between discrete 3D surfaces represented by triangular 3D meshes. The metric used is based on an approximation of the Hausdorff distance, which has been appropriately implemented in order to reduce unnecessary computation and memory usage. Results show that when compared to similar tools, a significant gain in both memory and speed can be achieved. Homepage: http://stage.nitrc.org/docman/view.php/449/919/mesh-icme02.pdf Related Software: Metro; Matlab; Powercrust; cpm; OBBTree; NLPL1; Netgen; CHOLMOD; MeshLab; SaliencyToolbox; SIFT; SBA; CGAL; EMD; Triangle; Edgebreaker; Stanford 3D Scanning Repository Cited in: 20 Publications all top 5 Cited by 51 Authors 2 Elber, Gershon 2 James, Nick 2 Kim, Myung-Soo 2 Menzies, Max 1 Alic, Vedad 1 Anton, François 1 Antonini, Marc 1 Aspert, Nicolas 1 Azizi, Lamiae 1 Bao, Hujun 1 Bi, Lin 1 Cohen, Laurent D. 1 Coll, Narcis 1 Desbrun, Mathieu 1 Ebrahimi, Touradj 1 García, Rafael Antonio 1 Gotsman, Craig 1 Gracias, Nuno 1 Guerrieri, Marité 1 Hu, Shimin 1 Huang, Jin 1 Jiang, Tengfei 1 Kang, Yunku 1 Keriven, Renaud 1 Kyung, Min-Ho 1 Li, Zhen 1 Liu, Yonghuai 1 Lu, Zheming 1 Martin, Ralph R. 1 Massarwi, Fady 1 Nada, Ayman A. 1 Negahdaripour, Shahriar 1 Nicosevici, Tudor 1 Payan, Frédéric 1 Péchaud, Mickael 1 Persson, Kent 1 Peyré, Gabriel 1 Rivara, Maria-Cecilia 1 Rosin, Paul L. 1 Sellarès, Joan Antoni 1 Sharma, Ojaswa 1 Shi, Zeyun 1 Son, Sang-Hyun 1 Song, Ran 1 Tong, Yiying 1 Vandergheynst, Pierre 1 Viladkar, M. N. 1 Wang, Liguan 1 Wang, Yuping 1 Yoon, Seunghyun 1 Zhong, De-Yun all top 5 Cited in 13 Serials 6 Computer Aided Geometric Design 2 ACM Transactions on Graphics 1 Computer Methods in Applied Mechanics and Engineering 1 Computers and Structures 1 Journal of Computational and Applied Mathematics 1 Physica D 1 Applied Mathematical Modelling 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Nonlinear Dynamics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Field Robotics 1 Signal, Image and Video Processing 1 Foundations and Trends in Computer Graphics and Vision all top 5 Cited in 9 Fields 14 Numerical analysis (65-XX) 8 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year