Modeling and interactive manipulation of complex three-dimensional surface models using networks of non-uniform rational b-spline curves and a constrained minimization technique

摘要

A method of modeling complex surface models using a network of intersecting non-uniform rational B-spline curves. Topological information of the curve network and interpolating surfaces to the network of curves are automatically generated. Different levels of continuity between surface patches are enforced. Surface patches of three and four sides and positional, tangent or curvature continuity between the patches are provided. Using a constrained minimization process, arbitrary, non-uniform B-spline curves may be used to manipulate the shape of the surfaces interpolating the curve network without violating the continuity conditions enforced during the generation of the surface patches allowing for very complex three-dimensional shapes to be modeled using the method.