DiffXPBD : Differentiable Position-Based Simulation of Compliant Constraint Dynamics

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dc.contributor.authorStuyck, Tuuren_US
dc.contributor.authorChen, Hsiao-Yuen_US
dc.contributor.editorWang, Huaminen_US
dc.contributor.editorYe, Yutingen_US
dc.contributor.editorVictor Zordanen_US
dc.date.accessioned2023-10-16T12:33:49Z
dc.date.available2023-10-16T12:33:49Z
dc.date.issued2023
dc.description.abstractWe present DiffXPBD, a novel and efficient analytical formulation for the differentiable position-based simulation of compliant constrained dynamics (XPBD). Our proposed method allows computation of gradients of numerous parameters with respect to a goal function simultaneously leveraging a performant simulation model. The method is efficient, thus enabling differentiable simulations of high resolution geometries and degrees of freedom (DoFs). Collisions are naturally included in the framework. Our differentiable model allows a user to easily add additional optimization variables. Every control variable gradient requires the computation of only a few partial derivatives which can be computed using automatic differentiation code. We demonstrate the efficacy of the method with examples such as elastic cloth and volumetric material parameter estimation, initial value optimization, optimizing for underlying body shape and pose by only observing the clothing, and optimizing a time-varying external force sequence to match sparse keyframe shapes at specific times. Our approach demonstrates excellent efficiency and we demonstrate this on high resolution meshes with optimizations involving over 26 million degrees of freedom. Making an existing solver differentiable requires only a few modifications and the model is compatible with both modern CPU and GPU multi-core hardware.en_US
dc.description.number3
dc.description.sectionheadersFluids and Points
dc.description.seriesinformationProceedings of the ACM on Computer Graphics and Interactive Techniques
dc.description.volume6
dc.identifier.doi10.1145/3606923
dc.identifier.issn2577-6193
dc.identifier.urihttps://doi.org/10.1145/3606923
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3606923
dc.publisherACM Association for Computing Machineryen_US
dc.subjectCCS Concepts: Computing methodologies -> Physical simulation differentiable simulation, parameter estimation"
dc.subjectComputing methodologies
dc.subjectPhysical simulation differentiable simulation
dc.subjectparameter estimation"
dc.titleDiffXPBD : Differentiable Position-Based Simulation of Compliant Constraint Dynamicsen_US
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SCA 2023: Eurographics/SIGGRAPH Symposium on Computer Animation