Dynamic Kelvinlets: Secondary Motions Based on Fundamental Solutions of Elastodynamics

How to read this

Category

Method: an analytic elastodynamic deformation technique for real-time secondary motion

Contributions

• Extends the regularized Kelvinlet solutions from elastostatics to the elastodynamic regime, giving closed-form displacements with compressive and shear wave dynamics
• Constructs compound solutions that resolve pointwise and keyframe constraints for fine control
• Demonstrates the approach in a production grade implementation with interactive, physically plausible volumetric elasticity

Context

Directly extends de Goes and James 2017 (Regularized Kelvinlets) from static sculpting to time-varying elastodynamics, sitting in the lineage of fundamental-solution (Green's function) approaches to elasticity.Builds on: Regularized Kelvinlets: Sculpting Brushes Based on Fundamental Solutions of Elasticity

Correctness

Built on the idealization of an infinite elastic medium with analytic responses, so it targets plausible secondary motion rather than a full boundary-respecting FEM solve; readers should remember it trades exact domain and boundary handling for closed-form speed and control.

Clarity

Reasonably accessible at the concept level; a first pass conveys the idea (analytic waves driven by force distributions), and a second pass is needed to follow the elastodynamic formulation and compound-constraint construction.

How to read it

Skim the figures and the static-to-dynamic extension first; if you intend to implement it, do a second pass on the elastodynamic kernels and the pointwise/keyframe constraint solve.