In this project, we extended the work of Eisenberger, Zorah, Cremers, “Divergence-Free Shape Interpolation and Correspondence” 1. In their work, they present a method to calculate deformation fields between shapes embedded in $\mathbb{R}^D$. To do so, they compute a divergence-free deformation field represented in a coarse-to-fine basis using the Karhunen-Loéve expansion.