2008•Journal of Hefei University of TechnologyRequires access
Conversion of a rational triangular Bézier patch to a degenerate rational rectangular Bézier patch
Zhu Gong-qin
Open publisher page 0 citations
Abstract
This paper presents an explicit formula of the conversion of a rational triangular Bezier patch of degree n to a degenerate rational rectangular Bezier patch of degree n×n by homogeneous coordinates,which is an extension of the conversion of a triangular Bezier patch of degree n to a degenerate rectangular Bezier patch of degree n×n.Unlike the traditional conversion of a triangular Bezier patch of degree n to a degenerate rectangular Bezier patch of degree n×n,the approaching degree of control nets can be adjusted with the presented method by changing the value of the power factor,and then the surface degree of freedom is increased,which enables more flexible control on the surface shape.A few examples illustrate that the method given is effective.