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Geometric Hermite interpolation for space curves

✍ Scribed by Lianghong Xu; Jianhong Shi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
128 KB
Volume
18
Category
Article
ISSN
0167-8396

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✦ Synopsis

This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic BΓ©zier 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 freedom. Moreover, we prove the interpolant is 6th order accurate. ο›™ 2001 Published by Elsevier Science B.V.

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