BibTeX
@MISC{07articlein,
author = {},
title = {ARTICLE IN PRESS Computer-Aided Design ( ) –},
year = {2007}
}
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Abstract
Curves on surfaces play an important role in computer-aided geometric design. Because of the considerably high degree of exact curves on surfaces, approximation algorithms are preferred in CAD systems. To approximate the exact curve with a reasonably low degree curve which also lies completely on the B-spline surface, an algorithm is presented in this paper. The Hausdorff distance between the approximate curve and the exact curve is controlled under the user-specified distance tolerance. The approximate curve is εT –G1 continuous, where εT is the user-specified angle tolerance. Examples are given to show the performance of our algorithm. c © 2007 Elsevier Ltd. All rights reserved.
Keyphrases
exact curve article press computer-aided design approximate curve important role hausdorff distance computer-aided geometric design elsevier ltd cad system user-specified angle tolerance high degree user-specified distance tolerance low degree curve approximation algorithm b-spline surface
