@inproceedings{5b752b8d301443ff949434894cdcf599,
title = "Optimizing surface triangulation via near isometry with reference meshes",
abstract = "Optimization of the mesh quality of surface triangulation is critical for advanced numerical simulations and is challenging under the constraints of error minimization and density control. We derive a new method for optimizing surface triangulation by minimizing its discrepancy from a virtual reference mesh. Our method is as easy to implement as Laplacian smoothing, and owing to its variational formulation it delivers results as competitive as the optimization-based methods. In addition, our method minimizes geometric errors when redistributing the vertices using a principle component analysis without requiring a CAD model or an explicit high-order reconstruction of the surface. Experimental results demonstrate the effectiveness of our method.",
keywords = "Mesh optimization, Nearly isometric mapping, Numerical simulations, Surface meshes",
author = "Xiangmin Jiao and Bayyana, \{Narasimha R.\} and Hongyuan Zha",
year = "2007",
doi = "10.1007/978-3-540-72584-8\_43",
language = "English",
isbn = "9783540725831",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "334--341",
booktitle = "Computational Science - ICCS 2007 - 7th International Conference, Proceedings, Part I",
note = "7th International Conference on Computational Science, ICCS 2007 ; Conference date: 27-05-2007 Through 30-05-2007",
}