Open AccessSurface Fairing with Boundary Continuity Based on the Wavelet Transform
Author(s) -
Cho Joohyung,
Kim Taewan,
Lee Kunwoo
Publication year - 2001
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.01.0101.0206
Subject(s) - wavelet transform , surface (topology) , sandpaper , wavelet , continuous wavelet transform , bounded function , geometry , mathematics , algorithm , computer vision , mathematical analysis , discrete wavelet transform , computer science , materials science , metallurgy
The surface modeling capability of CAD systems is widely used to design products bounded by free form surfaces and curves. However, the surfaces or curves generated by popular data fitting methods usually have shape imperfections such as wiggles. Thus, fairing operations are required to remove the wiggles, which makes the surfaces or curves smooth. This paper proposes a new method based on the wavelet transform for fairing the surfaces or curves while preserving the continuity with adjacent surfaces or curves. The wavelet transform gives a hierarchical perspective of the surfaces and the curves, which can be decomposed into the overall sweep and details, i.e., local deviations from sweep like the wiggles. The proposed fairing method provides a similar effect on the mathematical surface as that of the grinding operation using sandpaper on the physical surface.