𝔖 Bobbio Scriptorium
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Interpolation with minimized curvature

✍ Scribed by A.C.R. Newbery; Tylene S. Garrett

Book ID
108020448
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
342 KB
Volume
22
Category
Article
ISSN
0898-1221

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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

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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.