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GEOMETRIC CONIC SPLINE APPROXIMATION IN CAGD
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 Title & Authors
GEOMETRIC CONIC SPLINE APPROXIMATION IN CAGD
Ahn, Young-Joon;
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 Abstract
We characterize the best geometric conic approximation to regular plane curve and verify its uniqueness. Our characterization for the best geometric conic approximation can be applied to degree reduction, offset curve approximation or convolution curve approximation which are very frequently occurred in CAGD (Computer Aided Geometric Design). We also present the numerical results for these applications.
 Keywords
conic spline;Chebyshev approximation;geometric Hermite interpolation;offset curve;convolution curve;
 Language
English
 Cited by
1.
Degree reduction of Béezier curves using constrained Chebyshev polynomials of the second kind, The ANZIAM Journal, 2003, 45, 02, 195  crossref(new windwow)
2.
Using Jacobi polynomials for degree reduction of Bézier curves with Ck-constraints, Computer Aided Geometric Design, 2003, 20, 7, 423  crossref(new windwow)
3.
Approximation of circular arcs and offset curves by Bézier curves of high degree, Journal of Computational and Applied Mathematics, 2004, 167, 2, 405  crossref(new windwow)
4.
Helix approximations with conic and quadratic Bézier curves, Computer Aided Geometric Design, 2005, 22, 6, 551  crossref(new windwow)
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