G
2 interpolation and blending on surfaces |
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Authors: | Erich Hartmann |
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Affiliation: | (1) Technische Hochschule Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany |
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Abstract: | We introduce a method for curvature-continuous (G
2) interpolation of an arbitrary sequence of points on a surface (implicit or parametric) with prescribed tangent and geodesic curvature at every point. The method can also be used forG
2 blending of curves on surfaces. The interpolation/blending curve is the intersection curve of the given surface with a functional spline (implicit) surface. For the construction of blending curves, we derive the necessary formulas for the curvature of the surfaces. The intermediate results areG
2 interpolation/blending methods in IR2. |
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Keywords: | Interpolation Blending G
2 continuity |
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