High genus surface parameterization using the Euclidean Ricci flow method

• Published in: Scientific reports Vol. 15; no. 1; pp. 17784 - 28
• Main Author: Wang, Yuan-guang
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 22.05.2025; Nature Publishing Group; Nature Portfolio
• Subjects: 639/705/1041; 639/705/1042; 639/705/117; Conformal parameterization; Euclidean space; Flow; High genus surface; Humanities and Social Sciences; multidisciplinary; Science; Science (multidisciplinary); Surface parameterization; The Euclidean Ricci flow; Topology; Surface parameterization; Conformal parameterization; High genus surface; The Euclidean Ricci flow

The parameterization of surfaces, which is related to many frontier problems in mathematics, has long been a challenge for scientists and engineers. On the other hand, Ricci flow is a powerful tool in geometric analysis for studying low-dimensional topology. Owing to the natural cooperative impetus,...