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Curve and surface constructions using rational B-splines. (English) Zbl 0655.65012

Summary: This paper presents the non-uniform rational B-spline approximation form as a unified approach to representing free-form as well as standard analytic curves and surfaces commonly used in CADCAM. The emphasis is on geometric constructions, not on the underlying mathematical theory.

MSC:

65D07 Numerical computation using splines
51N05 Descriptive geometry
53A04 Curves in Euclidean and related spaces
53A05 Surfaces in Euclidean and related spaces
41A15 Spline approximation
41A63 Multidimensional problems
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