Roblox Corporation

Christopher Giles

Some implementations relate to methods, systems, and computer-readable media to display a rigid body object within a virtual environment. In some implementations, the method includes obtaining a model representation of the rigid body object, obtaining a state of the rigid body object in the virtual environment, determining a plurality of constraints that act on the rigid body object, determining a plurality of Jacobians and a plurality of Hessians, wherein each Jacobian of the plurality of Jacobians and each Hessian of the plurality of Hessians is associated with a corresponding constraint of the plurality of constraints, applying a two-stage primal solver to a set of equations of motion for the rigid body object based on the plurality of Jacobians and the plurality of Hessians, and displaying the rigid body object in the updated position in the virtual environment.

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San Mateo, CA, United States of America

Christopher Giles