Construction of quadrilateral subdivision surfaces with prescribed G1 G 1 boundary conditions
We present a scheme that combines the subdivision technique and the geometric partial differential equations method which provides us an efficient algorithm for designing high-quality surfaces with arbitrary topology structure. We use several fourth-order geometric partial differential equations to construct CatmullClarks subdivision surfaces with prescribed G1 G 1 boundary conditions where a mixed finite element method is based on the modified CatmullClarks subdivision scheme. Our approach can uniformly handle surface construction both with specified boundary normals and with interior sharp edges, which is a powerful tool for designing the shape of surfaces.
geometric partial differential equations catmullclarks subdivision surface g1 g 1 continuity g1 g 1 g1 g 1 g 1