TY - JOUR
ID - 663809
TI - An Optimal G^2-Hermite Interpolation by Rational Cubic Bézier Curves
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Sbibih, Driss
AU - Belkhatir, Bachir
AD - Department of Mathematics, Faculty of Sciences, University Mohammed First
AD - LANO Laboratory, University Mohammed First, Oujda, Morocco
Y1 - 2018
PY - 2018
VL - 8
IS - 1 (WINTER)
SP - 29
EP - 38
KW - Hermite interpolation
KW - Rational curve
KW - G^2 continuity
KW - Geometric conditions
KW - Optimization
DO -
N2 - In this paper, we study a geometric G^2 Hermite interpolation by planar rational cubic Bézier curves. Two data points, two tangent vectors and two signed curvatures interpolated per each rational segment. We give the necessary and the sufficient intrinsic geometric conditions for two C^2 parametric curves to be connected with G2 continuity. Locally, the free parameters within a rational cubic Bézier curve should be determined by minimizing a maximum error. We finish by proving and justifying the efficiently of the approaching method with some comparative numerical and graphical examples.
UR - http://ijm2c.iauctb.ac.ir/article_663809.html
L1 - http://ijm2c.iauctb.ac.ir/article_663809_d1dd4c38ef1e881719c0e19a3b5d3164.pdf
ER -