?0 Generalized Coons Volumes over Arbitrary Polyhedra

Speaker: Prof. Chongyang Deng, Hangzhou Dianzi University

Abstract: Transfinite interpolation is a fundamental theme in geometric modeling. The most well-known transfinite interpolation volume is the Coons volume. However, the topology of Coons volumes is restricted to hexahedra, which significantly limits their applications. In this paper, we generalize the Coons volume from hexahedral topology to arbitrary polyhedral topologies via generalized barycentric coordinates. We prove that the proposed general- ized Coons volume possesses several desirable geometric properties and demonstrate its applications in computer graphics.

Biography: Prof. Deng earned his Bachelor's degree from the Department of Mathematics, Jilin University in 1997. He taught at Hangzhou No.4 High School from 1997 to 2003, and obtained his Doctoral degree from the Department of Mathematics, Zhejiang University in 2008. Since 2008, he has been working at the School of Sciences, Hangzhou Dianzi University. His main research interests include numerical approximation and computational geometry, computer-aided geometric design and computer graphics, as well as engineering applications of artificial intelligence.

Host: Prof. Kai Hormann