CONTROLLED BLENDING OF PROCEDURAL IMPLICIT SURFACES

Abstract

Implicit surfaces are becoming increasingly popular for modeling geometric objects. Procedurally defined implicit surfaces, in particular surfaces built around skeletons, provide an intuitive representation for many natural objects, and objects commonly used in geometric modeling. This paper presents a number of techniques that provide good control over the shape of the implicit surface and the way different surfaces blend together. Some extensions to these techniques provide a simple and convenient representation for "soft" surfaces of revolution, randomly deformed surfaces, and other interesting shapes that would otherwise be difficult to model.