Efficiently computing exact geodesic loops within finite steps

• المؤلفون الرئيسيون: Xin, Shi-Qing, He, Ying, Fu, Chi-Wing
• مؤلفون آخرون: School of Computer Engineering
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/101681; http://hdl.handle.net/10220/16491

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...