S-patch: Modification of the Hermite parametric patch

TL;DR

The paper introduces the S-Patch, a modified Hermite cubic patch ensuring diagonal curves are degree 3, making it more suitable for applications requiring varied tessellations and boundary conditions.

Contribution

It presents a new modification of the Hermite cubic patch, with theoretical conditions and experimental results demonstrating its advantages.

Findings

Diagonal curves are of degree 3 in S-Patch.

S-Patch is suitable for applications with varied tessellations.

Experimental results support the theoretical advantages.

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.