Interpolating Bézier spline surfaces with local control

A. P. Pobegailo

Department of Applied Mathematics and Computer Science, Belarus State University, pr. Nezavisimosty 4, Minsk, Belarus

Abstract: This paper presents an approach to construct interpolating spline surfaces over a bivariate network of curves with rectangular patches. Patches of the interpolating spline surface are constructed by means of blending their boundaries with special polynomials. In order to ensure a necessary parametric continuity of the designed surface the polynomials of the corresponding degree are used. The constructed interpolating spline surfaces have local shape control. If the surface frame is determined by means of Bézier curves then patches of the interpolating spline surface are Bézier surfaces.

Keywords and phrases: blending parametric curves, interpolating surfaces, spline surfaces, Bézier surfaces.

MSC: 65D05, 65D07, 65D17

Received: 07.04.2017

Language: English