| Abstract: | In this paper, we present a new method to solve the Plateau-Bézier problem. A new
energy functional called weak-area functional is proposed as the objective functional to
obtain the approximate minimal Bézier surface from given boundaries. This functional
is constructed based on Dirichlet energy and weak isothermal parameterization condition.
Experimental comparisons of the weak-area functional method with existing Dirichlet,
quasi-harmonic, the strain energy-minimizing, harmonic and biharmonic masks are performed which show that the weak-area functional method are among the best by choosing
appropriate parameters. |
