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On Geometric Interpolation by Polynomial Curves

✍ Scribed by Kozak, Jernej; Zagar, Emil


Book ID
118190379
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
176 KB
Volume
42
Category
Article
ISSN
0036-1429

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This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic Bézier curve. In additon to position and tangent direction, the curvature vector is prescribed at each knot. We prove that under appropriate assumptions the interpolant exists locally with one degree of