We use a combination of both symbolic and numerical techniques to construct several degree bounded G0 and G1 continuous, piecewise spline approximations of real implicit algebraic surfaces for both computer graphics and geometric modeling. These approximations are based upon an adaptive triangulation (a G0 planar approximation) of the real components of the algebraic surface, and include both s...

A new approach is presented for computing the interior medial axes of generic regions in R bounded by C-smooth parametric B-spline surfaces. The generic structure of the 3D medial axis is a set of smooth surfaces along with a singular set consisting of edge curves, branch curves, fin points and six junction points. In this work, the medial axis singular set is first computed directly from the B...

Specifications The purpose of Abstract Specifications1 is to create and document a conceptual model sufficient enough to allow for the creation of Implementation Specifications. One OGC abstract specification, the Spatial Schema, gives a standard for geographic information by specifying geometry and topology separately as a UML (Unified Modeling Language)2 package dependency tree. The geometry ...