Title :
Multiresolution fractal approximation of smooth or rough surfaces defined in the triangular field
Author :
Hua, Hui-chun ; Zhao, Mei-ling
Author_Institution :
Dept. of Math. & Phys., North China Electr. Power Univ., Baoding
Abstract :
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 (IFS) 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.
Keywords :
approximation theory; computational geometry; fractals; iterative methods; solid modelling; free form approximation theory; geometric surface compression; multiresolution fractal approximation; rough surfaces; shape description; smooth surfaces; surface modeling; triangular field; triangular projected iterated function system; triangular surfaces; Approximation algorithms; Approximation methods; Fractals; Machine learning; Power system modeling; Rough surfaces; Shape control; Spline; Surface fitting; Surface roughness; Fractal approximation; Projected iterated function system; Rough surfaces;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620914
