Title of article :
An Optimal G2-Hermite Interpolation by Rational Cubic Bezier Curves
Author/Authors :
Sbibih, D LANO Laboratoty - University Mohammed First - Faculty of Sciences, Morocco , Belkhatir, B LANO Laboratoty - University Mohammed First - Faculty of Sciences, Morocco
Abstract :
In this paper, we study a geometric G2 Hermite interpolation by planar rational
cubic Bezier curves. Two data points, two tangent vectors and two signed curvatures interpo-
lated per each rational segment. We give the necessary and the sufficient intrinsic geometric
conditions for two C2 parametric curves to be connected with G2 continuity. Locally, the
free parameters within a rational cubic Bezier curve should be determined by minimizing a
maximum error. We nish by proving and justifying the efficiently of the approaching method
with some comparative numerical and graphical examples.
Keywords :
Hermite interpolation , Rational curve , G2 continuity , Geometric conditions , Optimization
Journal title :
Astroparticle Physics