Go Green: General Regularized Green’s Functions for Elasticity

What is it about?

Fundamental solutions (Green’s functions) of linear elasticity are ubiquitous in interactive graphics applications that cannot afford the computational costs of volumetric meshing and finite-element simulation --- the recent work on Kelvinlets of de Goes and James [2017] to formulate sculpting tools capturing in real-time broad and physically-plausible deformations more intuitively and realistically than traditional editing brushes being a great example of their utility. In this paper, we extend this family of Green’s functions by exploiting the anisotropic behavior of general linear elastic materials, where the relationship between stress and strain in the material depends on its orientation.

Featured Image

Photo by Naomi Koelemans on Unsplash

Photo by Naomi Koelemans on Unsplash

Why is it important?

This anisotropic extension of Kelvinlets offers a simple numerical way to design sculpting brushes to generate anisotropic deformation and finely control their falloff profiles in real-time.