Non-manifold boundary representation with parametric geometric elements

Abstract: "This paper describes a development of non-manifold boundary representation with parametric surfaces for solid modeling. We introduce a geometric modeler currently restricted to linear geometric elements, and discuss an investigation to extend its geometric domain to integrate parametric curves and surfaces. Emphasis is given on efficiently maintaining the topological and geometric information of non-manifold boundaries, and the algorithms for robust and efficient Boolean operations of parametric surfaces. The algorithms are demonstrated with examples of non-uniform rational B-spline surfaces."