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

Volume

5

fYear

2008

fDate

12-15 July 2008

Firstpage

2957

Lastpage

2963

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICMLC.2008.4620914

Filename

4620914