In this paper the variational problems of finding Bézier surfaces that minimize the bending energy functional with prescribed border for both cases of triangular and rectangular are investigated. As a result, two new bending energy masks for finding Bézier surfaces of minimal bending energy for both triangular and rectangular cases are proposed. Experimental comparisons of these two new bending energy masks with existing Dirichlet, Laplacian, harmonic and average masks are performed which show that bending energy masks are among the best.
|Title of host publication
|Mathematics of Surfaces XI
|Ralph Martin, Helmut Bez, Malcolm Sabin
|Number of pages
|Published - 2005
|Lecture Notes in Computer Science