Construction of curves with parallelism conditions

In this paper we define the notion of pseudo-parallel curves, extending, in the plane, that of offset curves. Then we consider the problem of fitting a set of scattered points with a curve pseudo-parallel to a given reference curve. We propose a method of solution based on a modified version of the...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2000-03, Vol.115 (1), p.369-382
Main Authors: de Silanes, M.C.López, Pasadas, M., Torrens, J.J.
Format: Article
Language:English
Subjects:
Curve fitting
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Offset curves
Pseudo-parallel curves
Sciences and techniques of general use
Smoothing Dm-splines
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Summary:In this paper we define the notion of pseudo-parallel curves, extending, in the plane, that of offset curves. Then we consider the problem of fitting a set of scattered points with a curve pseudo-parallel to a given reference curve. We propose a method of solution based on a modified version of the classical smoothing D m -splines over a bounded domain. The convergence of the method is established and some numerical examples are given.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(99)00118-1