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Surface interpolation with local control by linear blending. (English) Zbl 1212.65068

Summary: The purpose of this paper is to introduce an interactive surface interpolation method by spline surfaces. The technique is based on linear blending and works for a large class of surfaces including bicubic Bézier, B-spline, non-uniform rational B-spline surfaces and the recently developed trigonometric surfaces as well. The interpolating surface can be interactively modified by control points, meanwhile the interpolation property is preserved.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65D05 Numerical interpolation
65D07 Numerical computation using splines
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