On a proper acute triangulation of a polyhedral surface |
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Authors: | H Maehara |
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Institution: | aRIED, Tokai University, 2-28-4 Tomigaya, Shibuya, Tokyo 151-8677, Japan |
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Abstract: | Let Σ be a polyhedral surface in R3 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 CLn/(δθ) planar and rectilinear acute triangles, where C is an absolute constant. |
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Keywords: | Polyhedral surface Acute triangulation Proper triangulation |
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