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Interpolating Bézier spline surfaces with local control
Authors: A. P. Pobegailo
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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.Department of Applied Mathematics
and Computer Science
Belarus State University
pr.Nezavisimosty 4
Minsk, Belarus
E-mail:
and Computer Science
Belarus State University
pr.Nezavisimosty 4
Minsk, Belarus
E-mail:
Fulltext
– 0.12 Mb
Contents
- Semi-symmetric isotopic closure of some group varieties and the corresponding identities
- Factorizations in the rings of the block matrices
- Inclusion Properties of Certain Subclass of Univalent Meromorphic Functions Defined by a Linear Operator Associated with the $\lambda$-Generalized Hurwitz-Lerch Zeta Function
- Interpolating Bézier spline surfaces with local control
- A Note on the Equivalence of Control Systems on Lie Groups
- Viscous flow through a porous medium filled by liquid with varying viscosity
- Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane
- A Note on 2-Hypersurfaces of the Nearly Kählerian Six-Sphere
- Post-quantum No-key Protocol
- Some estimates for angular derivative at the boundary
