New Geometric Continuity Solution of Parametric Surfaces

Abstract

This paper presents a new approach to computation of geometric continuity for parametric bi-cubic patches, based on a simple mathematical reformulation which leads to simple additional conditions to be applied in the patching computation. The paper presents an Hermite formulation of a bicubic parametric patch, but reformulations can be made also for B\'ezier and B-Spline patches as well. The presented approach is convenient for the cases when valencies of corners are different from the value 4, in general.