Double Cubic Singular Blend Bézier Surfaces

Abstract

Firstly, based on the traditional Bézier surface, the traditional Bézier surface is generalized by using the idea of power and combining with the singular hybrid technology, and a singular hybrid Bézier surface is obtained. It not only contains the original Bézier surface, but also introduces new local control parameters with local control and modification ability. Secondly, the properties of two cubic singular Bézier surfaces are studied, and the geometric meaning of the mixed parameters is studied and its influence on the shape of the surface is discussed. In the end, the splicing conditions of two cubic singular Bézier surfaces in parameter splicing and geometric splicing are presented.