Approximate computation of curves on B-spline surfaces

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 T

• Type: Journal
• Year: 2008
• Where: CAD
• Authors: Yi-Jun Yang, Song Cao, Jun-Hai Yong, Hui Zhang, Jean-Claude Paul, Jia-Guang Sun, He-Jin Gu
• Keywords: Approximate Curve, CAD 2008, Curve, Exact Curve, Theoretical Computer Science