Fourier Series Deformation Field
A deformation field that represents the position of each Gaussian primitive as a periodic function of time, formed by a superposition of sine and cosine terms. Periodicity is guaranteed intrinsically by the mathematical form, so no additional loss constraint is required. Different frequency components can express continuous dynamics with varying rhythm and amplitude.
Timeline (last 90 days)
OuroWorld proposes Inconsistency-Robust Periodic 4DGS, which contains two key components, the Fourier series deformation field and the Grounded Drift Field, to learn dynamics from imperfect supervision signals.
The Fourier series deformation field parameterizes the deformation field via a Fourier series, so that periodicity is guaranteed by construction itself without the need to impose additional cyclic constraints.
All Facts (2)
OuroWorld proposes Inconsistency-Robust Periodic 4DGS, which contains two key components, the Fourier series deformation field and the Grounded Drift Field, to learn dynamics from imperfect supervision signals.
50%UnverifiedThe Fourier series deformation field parameterizes the deformation field via a Fourier series, so that periodicity is guaranteed by construction itself without the need to impose additional cyclic constraints.
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