Tool path planning based on conformal parameterization for meshes
作者： Jibin Zhao , Qiang Zou , Lun Li , Bo Zhou
DOI: 10.1016/J.CJA.2015.06.005
关键词: Geodesic 、 Mathematics 、 Parametric statistics 、 Polygon mesh 、 Boundary (topology) 、 Topology 、 Similarity (geometry) 、 Surface (mathematics) 、 Path (graph theory) 、 Triangle mesh
摘要: The similarity property of conformal parameterization makes it able to locally preserve the shapes between a surface and its parameter domain, as opposed to common parameterization methods. A parametric tool path planning method is proposed in this paper through such parameterization of triangular meshes which is furthermore based on the geodesic on meshes. The parameterization has the properties of local similarity and free boundary which are exploited to simplify the formulas for computing path parameters, which …
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