Computing conformal invariants: period matrices. (English) Zbl 1102.68675

Gu, Xianfeng; Wang, Yalin; Yau, Shingtung

Commun. Inf. Syst. 3, No. 3, 153-170 (2003).

Summary: This work introduces a system of algorithms to compute period matrices for general surfaces with arbitrary topologies. The algorithms are intrinsic to the geometry, and independent of surface representations. The computation is efficient, stable and practical for real applications. The algorithms are experimented on real surfaces including human faces and sculptures, and applied to surface identification problems. It is the first work that is both theoretically solid, and practically robust and accurate to handle real surfaces with arbitrary topologies.

MSC:

68U05

Computer graphics; computational geometry (digital and algorithmic aspects)

Keywords:

conformal geometry