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UBC Theses and Dissertations

Rigid body simulation with contact and constraints Cline, Michael Bradley

Abstract

We present techniques for constructing an interactive rigid body simulation system, and describe our implementation such a system. We use a constraint-based simulation approach, incorporating a time stepping method which handles multiple contacts with friction in a general way. We describe a method for constraint stabilization for simulations with contact. The method is based on the post-stabilization methods of Ascher and Chin, but is formulated as a linear complementarity problem, allowing us to solve for the stabilization step when there are redundant inequality (contact) constraints. As an application of our simulation software, we present a method for human character animation where motion capture data is used to drive a rigid body simulation. This allows physical constraints and forces acting on the character to be taken into account.

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