2007•Computer Engineering and Applications JournalRequires access
Construction of G~1/G~2 smooth B-spline surfaces based on knot refinement
Xumin Liu
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Abstract
The motivation of this paper is to develop a scheme of constructing G1/G2 smooth B-spline surfaces with single knots.According to the continuity conditions between the B-spline curves,these derivative curves of the two surfaces are transformed into some Bezier curves by discreting and knot-refining.Depending on the continuity conditions between the Bezier surfaces,we obtain the relation of the control points which belong to the two B-spline surfaces.At last the G1/G2 smooth B-spline surfaces are realized.