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
Interpolation by local space curves
β Scribed by R.C. Johnson
- Book ID
- 103919477
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 414 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
A new approach to generating a non-planar shape-preserving interpolating curve is presented. The resulting curve is a piecewise rational cubic that is G 2 continuous. It is obtained through an optimisation process involving some ''fairness criteria'', in order to achieve a visually pleasing curve.
A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at