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Interpolation with minimal-energy splines

โœ Scribed by Guido Brunnett; Johannes Kiefer

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
567 KB
Volume
26
Category
Article
ISSN
0010-4485

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โœฆ Synopsis

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 algorithm to determine the interpolant involves a table lookup to speed up the computation of the relevant parameters, and an optimization to minimize curvature discontinuities in the curve.

๐Ÿ“œ SIMILAR VOLUMES

Minimal-energy splines: I. Plane curves
Minimal-energy splines: I. Plane curves with angle constraints
โœ Emery D. Jou; Weimin Han ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 726 KB

## Abstract This is the first in a series of papers on minimalโ€energy splines. The paper is devoted to plane minimalโ€energy splines with angle constraints. We first consider minimalโ€energy spline segments, then general minimalโ€energy spline curves. We formulate problems for minimalโ€energy spline se