Convex spline interpolants with minimal curvature
✍ Scribed by W. Burmeister; W. Heß; J. W. Schmidt
- Publisher
- Springer Vienna
- Year
- 1985
- Tongue
- English
- Weight
- 407 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0010-485X
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The problem of interpolating a sequence of points in the plane with a nonlinear spline curve of minimal energy and prescribed tangents in the endpoints is addressed. The method presented is based on the idea of representing the interpolant as a curve of a piecewise polynomial curvature function. The
The method offers a free choice of a tangent direction, two derivatives, and a curvature at each interpolation point. This flexibility can be achieved by constructing two cubic seoments for each adjacent pair of vertices. The method is also compared with other local schemes for curve construction.