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# Physical Parameter Estimation

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  1. arXiv

    Cloth dynamics leaves the fixed timestep behind: ContinuousCloth writes motion as a continuous function of time and evaluates dense trajectories up to 17.4x faster

    Cloth simulators usually cut motion into fixed timesteps and return states only on the solver grid, so querying arbitrary times or derivatives means re-running or finite differences. ContinuousCloth represents the cloth trajectory as a differentiable function of time, trained under the residual of a spring-mass ordinary differential equation, and answers position and derivative queries at any timestamp. Across six boundary-condition scenarios its trajectory accuracy matches a high-precision fourth-order Runge-Kutta reference while dense-time evaluation runs up to 17.4 times faster.

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