Multi-sided Attribute Based Modeling

We consider the problem of defining multi-sided patches in a system that enables G2 continuity. The technology is based on finding the weighted least squares solution of points on given input curves where a separate parameter space with control structures determines its weights. It is a generalization of Shepard's method to a parameterized vector solution. The method generates surface patches that satisfy certain minimal energy conditions. it employs any parametric curve and points as controls for defining the surface.