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Envelopes created by pseudo-circle families in the Minkowski plane

2024/07/10 by Yongqiao Wang, Wang, Yongqiao, Lin Yang +5
Computer Science · Engineering · #3D Shape Modeling and Analysis #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #Digital Image Processing Techniques #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2407.07738

openalex publication_date 2024/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we address the topic of envelopes created by pseudo-circle families in the Minkowski plane, which exhibit some different properties when compared with the Euclidean case. We provide solutions to all four basic problems associated with these envelopes, namely the existence problem, representation problem, problem on the number of envelopes, and problem on the relationships of definitions.

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