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Reparametrization and its application in computer-aided geometric design. (English) Zbl 0539.65005

The paper first describes reparametrizations of polynomial curves, including a discussion of zero tangents. It is then shown how reparametrizations of boundary curves of a surface can affect the shape of the surface. For piecewise defined surfaces, reparametrizations are presented that preserve boundary curve shapes and ”optimize” the shape of the overall surface, although at the cost of increasing polynomial degrees.
Reviewer: G.Farin

MSC:

65D10 Numerical smoothing, curve fitting
53A04 Curves in Euclidean and related spaces
53A05 Surfaces in Euclidean and related spaces
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References:

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