Title of article
Geometric Hermite interpolation by cubic G1G1 splines
Author/Authors
Marjeta Krajnc، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
13
From page
2614
To page
2626
Abstract
In this paper, geometric Hermite interpolation by planar cubic G1G1 splines is studied. Three data points and three tangent directions are interpolated per polynomial segment. Sufficient conditions for the existence of such a G1G1 spline are determined that cover most of the cases encountered in practical applications. The existence requirements are based only upon geometric properties of data and can easily be verified in advance. The optimal approximation order 6 is confirmed, too.
Keywords
Cubic spline curve , G1G1 continuity , Hermite geometric interpolation , Existence , Approximation order , Nonlinear equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860961
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