Based on the technique of C-shape G Hermite interpolation by cubic Pythagorean-Hodograph (PH) curve, we present a simple method for Cshape G Hermite interpolation by rational cubic Bézier curve. The method reproduces a circular arc when the input data come from it. Both the Bézier control points, which have the well understood geometrical meaning, and the weights of the resulting rational cubic...

Principal lattices are distributions of points in the plane obtained from a triangle by drawing equidistant parallel lines to the sides and taking the intersection points as nodes. Interpolation on principal lattices leads to particularly simple formulae. These sets were generalized by Lee and Phillips considering three-pencil lattices, generated by three linear pencils. Inspired by the additio...

Davis, P. J. Interpolation and approximation, Blaisdell New York 1969 Dikshit,H. P. and Rana, S. S. Cubic Interpolatory splines with non uniform Meshes J. Approx. Theory Vol 45, no4(1985) C. A. Hall and Meyer, W. W. ; Optimal error bounds for cubic spline Interpolation J. Approx. Theory, 58 (1989), 59-67. Kopotun K. A. : Univariate spline equivalence of moduli of smoothness and application . Ma...