Discrete surface modelling using partial differential equations

• DOI: 10.1016/j.cagd.2005.05.004
• Publication Date: 2005-07-06T21:15:31Z
• Authors: Guoliang Xu; Qing Pan; Chandrajit L. Bajaj
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form surface fitting. The nonlinear equations used include two second order flows, two fourth order flows and two sixth order flows. These nonlinear equations are discretized based on discrete differential geometry operators. The proposed approach is simple, efficient and gives very desirable results, for a range of surface models, possibly having sharp creases and corners.