Smoothed Hinge Model for Cloth Simulation
We present a smoothed-hinge model for cloth simulation, incorporating a smoothed-hinge membrane (SHM) and a smoothedhinge bending (SHB) component, both found on a triangle-centered elemental patch. SHB derives the directional curvatures across the hinge edges and transforms them into the curvature components used in the continuum shell such that the bending energy can be computed accordingly. Using the corotational method with a small strain/curvature assumption ensures a constant Hessian matrix which enhances the efficiency and stability of implicit solvers. The SHM model, based on a quadratic interpolation scheme, samples membrane strains at the mid-points of hinge edges to address sharp creasing artifacts arising from the locking issue, offering smoother gradients on hinge edges compared to traditional constant strain triangle elements. Incremental potential contact (IPC) manages contact and friction. Our model enriches the family of computational models for realistic cloth simulation, providing a stable and accurate method applicable across diverse clothing scenarios.