SIAM Journal on Computing
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
Journal of Computational Physics
Finite element analysis of quasistatic crack propagation in brittle media with voids or inclusions
Journal of Computational Physics
Hi-index | 31.45 |
This paper describes a new boundary focused mesh generation algorithm. The algorithm produces quadrilateral meshes from images of multi-material structures. The challenge of meshing such images is to create high quality elements which are aligned with complex material boundaries. The approach proposed in this paper uses the following steps: (1) extract boundaries according to pixel colours; (2) smooth the jagged boundaries; (3) generate geodesic isolines aligned with smoothed boundaries; (4) generate a mesh from the boundaries and isolines; (5) optimize the mesh using the ''Pisces'' pattern (which is introduced in this paper). Application examples are presented to contrast the reliability and effectiveness of the new algorithm with existing approaches.