Curves with quadric boundary precision
A method is described for constructing rational boundary curves for scattered data in \(\mathbb{R}^ 3\). The method has quadric boundary precision; i.e. if the data are extracted from a quadric, then the boundary curves lie on this quadric. Each boundary curve is a conic section represented by a rational Bézier curve. Details of the method are first introduced and justified for data from a quadric. The case of data from a general surface is considered next. Several degenerate cases are also studied and the various situations are illustrated graphically.
scientific article; zbMATH DE number 699121
scientific article