The issue of Cα-degree reduction of triangular Bézier surfaces is exposed. It is anticipated that both triangular Bézier surfaces are Cα-continuous at the vertices. The Euclidean norm as well as the L2-norm is used. The final solutions are given in terms of the matrix of degree raising, the Gram matrix, and the Bézier points. Moreover, it is shown that the solutions using both norms are equivalent.
|Number of pages||12|
|Journal||International Journal of Mathematical Analysis|
|Publication status||Published - 2010|
- Bivariate Bernstein polynomials
- Cα-degree reduction
- Triangular Bézier surfaces
ASJC Scopus subject areas