A Note on Ribbon-based Biharmonic Surface Patches

TL;DR

This paper presents a simple method to adapt biharmonic surfaces for interpolating boundary cross-derivatives in ribbon form, comparing its effectiveness with recent generalized B-spline patches.

Contribution

It introduces a straightforward adaptation of biharmonic surfaces for boundary derivative interpolation and provides a comparative analysis with generalized B-spline patches.

Findings

Effective interpolation of boundary cross-derivatives using biharmonic surfaces

Comparison shows advantages over generalized B-spline patches in certain scenarios

Simplifies the process of surface interpolation with boundary derivatives

Abstract

In this short note we describe a simple adaptation of biharmonic surfaces to interpolate boundary cross-derivatives given in ribbon form, and compare with the recently proposed Generalized B-spline patches.