Surface Design based on Geometric Flow Method and Tessellation

Haogui CHEN

Hunan City University, Yiyang, Hunan 413000, CHINA

Abstract: This paper combines geometric flow method with tessellation and make full use of their respective strengths to complete some surface design problems, such as surface blending, N sides fill holes and others which satisfy G1 boundary conditions. Based on full analysis of subdivision, the technology utilizes the discrete of four-order geometric flows to successfully construct four-order geometric partial differential equations' finite element method based on quadrilateral surface subdivision. Experimental results show that: surface design which based on geometric flow method and surface subdivision is effective and correct.

Keywords: Discrete; Surface blending; Geometric partial differential equations; Diffusion flow