Gn blending multiple surfaces in polar coordinates
Computer-Aided Design
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Computer-Aided Design
-G2 B-spline surface interpolation
Computer Aided Geometric Design
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According to the results on the G{1} continuity conditionsfor two arbitrary degree B-spline surfaces withgenerally structured knots, this paper analyzes the propertyof the connectivity functions of G{1} continuity first,then obtains the necessary and sufficient condition ofG{2} continuity for two arbitrary degree B-spline surfaceswith generally structured knots, meanwhile present akind of sufficient conditions of G{2} continuity.In particular,this paper obtain the uniform smooth conditionsfor the above G{2} sufficient conditions.At the end, thispaper give a constructing algorithm and examples foradjacent B-spline surfaces to be of G{2} continuity.