Robust Quasistatic Finite Elements and Flesh Simulation

How to read this

Category

Method: robust quasistatic FEM for flesh simulation

Contributions

• A quasistatic finite element algorithm for simulating deformable flesh attached to a kinematic skeleton
• Modifies element stiffness matrices (diagonalizing the deformation gradient and clamping negative eigenvalues) to guarantee positive definiteness for fast conjugate-gradient solves, even under heavy compression
• Extends invertible finite elements into the degenerate regime and adds a penalty-based, level-set-driven strategy for collision and self-collision of tetrahedral bodies

Context

Builds on invertible finite elements and on the authors' muscle work (Creating and Simulating Skeletal Muscle from the Visible Human Data Set), targeting robust soft-tissue deformation for characters.Builds on: Creating and Simulating Skeletal Muscle from the Visible Human Data Set

Correctness

Demonstrated on flesh and muscle of the upper torso from the Visible Human data set; the quasistatic assumption omits true inertial dynamics, so it targets pose-dependent deformation rather than full dynamic response, and collision handling is penalty-based (parameter sensitive).

Clarity

Technically dense; a first pass conveys the robustness goals, but the eigenvalue clamping and invertible-element handling require a careful second or third pass.

How to read it

First pass for the robustness contributions (positive-definiteness fix, inversion handling); plan a slow second/third pass on the linearization and collision sections if you implement an FEM flesh solver.