Envelopes created by circle families in the plane

2023/01/11 by Yongqiao Wang, Wang, Yongqiao, Takashi Nishimura +1 · 1 citation
Engineering · Computer Science · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #Optimization and Packing Problems

paper · pdf · doi:10.48550/arxiv.2301.04478

Abstract

In this paper, on envelopes created by circle families in the plane, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem on relationships of definitions) are solved.

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• Envelopes created by sphere families in Euclidean 3-space

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