MULTIRESOLUTION FRACTAL APPROXIMATION OF SMOOTH OR ROUGH SURFACES DEFINED IN THE TRIANGULAR FIELD

摘要：

In the present paper, a unified model for approximating smooth or rough surfaces defined in the triangular field is introduced. The model is called triangular projected iterated function system (TPIFS). TPIFS combines the classical iterated function system (IKS) model and the free form approximation theory. In addition, the properties of TPIFS and the multiresolution approximation algorithm for generating triangular surfaces rapidly are also presented. The main applications are surface modeling, shape description and geometric surface compression.

关键词： Fractal approzimation Projected iterated function system Rough surfaces

作者: HUI-CHUN HUA MEI-LING ZHAO

作者单位: Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, PR China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 2957-2963

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）