Estimation of integral properties of a planar closed curve based on a quadratic spline quasi-interpolant

Authors:
C. Allouch;P. Sablonnière;D. Sbibih
Affiliations:
-;-;-
Venue:
Proceedings of the 7th international conference on Curves and Surfaces
Year:
2010

Citing 1
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Point-based methods for estimating the length of a parametric curve

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we present a method based on a quadratic spline quasi-interpolant for the estimation of integral properties of a planar closed curve. The latter include the length, area, center of gravity and moment of inertia of the given curve. Then, we analyze the error estimates on the approximations of these properties and we validate the theoretical results by numerical examples.