Efficiently computing exact geodesic loops within finite steps

• Main Authors: Xin, Shi-Qing, He, Ying, Fu, Chi-Wing
• Other Authors: School of Computer Engineering
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
• Online Access: https://hdl.handle.net/10356/101681; http://hdl.handle.net/10220/16491
• Institution: Nanyang Technological University

Closed geodesics, or geodesic loops, are crucial to the study of differential topology and differential geometry. Although the existence and properties of closed geodesics on smooth surfaces have been widely studied in mathematics community, relatively little progress has been made on how to compute...