In this paper, we give the matrix form for the degree elevation of rational triangular Bézier surfaces. We use the L2 measure to find a formula for the distance between two rational triangular Bézier surfaces. A polynomial triangular Bézier surface approximation of a rational triangular Bézier surface based on the least-squares method is given. The final formulas contain only Bézier points and matrix of degree elevation.
- Computer aided geometric design
- Degree raising
- Generalized Bernstein polynomials
- Rational triangular Bézier surfaces
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics