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Learning contact corrections for handle-based subspace dynamics

Cristian Romero, Dan Casas, Jesús Pérez, Miguel Á. Otaduy

2021ACM Transactions on Graphics36 citationsDOIOpen Access PDF

Abstract

This paper introduces a novel subspace method for the simulation of dynamic deformations. The method augments existing linear handle-based subspace formulations with nonlinear learning-based corrections parameterized by the same subspace. Together, they produce a compact nonlinear model that combines the fast dynamics and overall contact-based interaction of subspace methods, with the highly detailed deformations of learning-based methods. We propose a formulation of the model with nonlinear corrections applied on the local undeformed setting, and decoupling internal and external contact-driven corrections. We define a simple mapping of these corrections to the global setting, an efficient implementation for dynamic simulation, and a training pipeline to generate examples that efficiently cover the interaction space. Altogether, the method achieves unprecedented combination of speed and contact-driven deformation detail.

Topics & Concepts

Subspace topologyNonlinear systemDecoupling (probability)Computer sciencePipeline (software)Parameterized complexityAlgorithmCover (algebra)Simple (philosophy)Artificial intelligencePhysicsControl engineeringEngineeringPhilosophyProgramming languageQuantum mechanicsEpistemologyMechanical engineering3D Shape Modeling and AnalysisHuman Motion and AnimationAdvanced Numerical Analysis Techniques
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