On a proper acute triangulation of a polyhedral surface
On a proper acute triangulation of a polyhedral surface
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DOI：
10.1016/j.disc.2011.05.012
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
H. Maehara
中科院分区：
文献类型：
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作者：
H. Maehara
设R3中有n条边的多面体曲面为R3中有n条边的多面体曲面.设L是图中最长边的长度，δ是从顶点到不与顶点相交的边的测地线距离的最小值，θ是图中最小面角的测度。本文证明了三角剖分至多可剖分为CLn/（δ θ）个平面锐角三角形和直角锐角三角形，其中C是一个绝对常数.
Let Σ be a polyhedral surface in R 3 with n edges. Let L be the length of the longest edge in Σ, δ be the minimum value of the geodesic distance from a vertex to an edge that is not incident to the vertex, and θ be the measure of the smallest face angle in Σ. We prove that Σ can be triangulated into at most C L n/(δ θ) planar and rectilinear acute triangles, where C is an absolute constant.