On the G1 continuity of piecewise Be´zier surfaces: a review with new results
Computer-Aided Design - Special Issue: Be´zier Techniques
Smoothing of free-form surfaces with Be´zier patches
Computer Aided Geometric Design
The NURBS book (2nd ed.)
G1 continuity conditions of adjacent NURBS surfaces
Computer Aided Geometric Design
Adaptive patch-based mesh fitting for reverse engineering
Computer-Aided Design
G1 continuity conditions of adjacent NURBS surfaces
Computer Aided Geometric Design
Properties of g1 continuity conditions between two b-spline surfaces
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
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The necessary and sufficient conditions of G1 continuity between two biquartic B-spline patches with single interior knots are obtained, and the intrinsic conditions of the common boundary control points are also presented. Further, some remarkable difference on the conditions for G1 continuity of two adjacent Bézier patches and those of two adjacent B-spline patches are studied. As a result, the construction of local scheme by using biquartic B-spline surfaces with the single interior knots does not exist.