S-Patch: Modification of the Hermite Parametric Patch

Abstract

A new modification of the Hermite cubic rectangular patch is proposed - the S-Patch, which is based on the requirement that diagonal curves must be of degree 3 instead of degree 6 as it is in the case of the Hermite patch. Theoretical derivation of conditions is presented and some experimental results as well. The S-Patch is convenient for applications, where different tessellation of the u – v domain is needed, boundary and diagonal curves of different degrees are not acceptable.