SIAM Journal on Computing
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Proceedings of the Eurographic workshop on Computer animation and simulation
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
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Geodesic paths and distances on meshes are used for many applications such as parameterization, remeshing, mesh segmentation, and simulations of natural phenomena. Noble works to compute shortest geodesic paths have been published. In this paper, we present a new approach to compute the straightest path from a source to one or more vertices on a manifold mesh with a boundary. A cutting plane with a source and a destination vertex is first defined. Then the straightest path between these two vertices is created by intersecting the cutting plane with faces on the mesh. We demonstrate that our straightest path algorithm contributes to reducing distortion in a shape-preserving linear parameterization by generating a measured boundary.