A Hermite interpolatory subdivision scheme constructed from quadratic rational Bernstein–Bezier spline

Mahendra Kumar Jena

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 433-448

Abstract: In this paper, a new nonlinear Hermite interpolatory subdivision scheme for curve interpolation is introduced. The scheme is constructed from the rational Bernstein–Bezier (RBB) spline. The limit function of the scheme interpolates both the function values and the derivatives. The work provides convergence analysis, polynomial reproduction, and shape preserving properties of the scheme. In particular, it is shown that the limit functions are globally C1 and the scheme also reproduces quadratic polynomials. Moreover, the scheme preserves monotonicity and convexity. Several examples are provided to justify our claims.

Keywords: RBB-spline; Hermite subdivision scheme; Convergence; Smoothness; Polynomial reproduction; Monotonicity; Convexity (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:433-448

DOI: 10.1016/j.matcom.2021.03.018

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