Numerical Computation of Surface Conformal Mappings

作者：Gu Xianfeng David; Zeng Wei; Luo Feng; Yau Shing Tung

来源：Computational Methods and Function Theory, 2011, 11(2): 747-787.

• Conformal geometry
• Ricci flow
• holomorphic differential
• discrete surface

We report recent progress in the computation of conformal mappings from surfaces with arbitrary topologies to canonical domains. Two major computational methodologies are emphasized; one is holomorphic differentials based on Riemann surface theory and the other is surface Ricci flow from geometric analysis. The applications of surface conformal mapping in the field of engineering are briefly reviewed.

• 出版日期2011
• 单位rutgers