XPBD: Position-Based Simulation of Compliant Constrained Dynamics

Miles Macklin, Matthias Muller, Nuttapong Chentanez We address the long-standing problem of iteration count and time step dependent constraint stiffness in position-based dynamics (PBD). We introduce a simple extension to PBD that allows it to accurately and efficiently simulate arbitrary elastic and dissipative energy potentials in an implicit manner. In addition, our method provides constraint […]

A Robust Method to Extract the Rotational Part of Deformations

Matthias Muller, Jan Bender, Nuttapong Chentanez, Miles Macklin We present a novel algorithm to extract the rotational part of an arbitrary 3×3 matrix. This problem lies at the core of two popular simulation methods in computer graphics, the co-rotational Finite Element Method and Shape Matching techniques. In contrast to the traditional method based on polar […]