33 citations · 157 across the 27 of their papers we have counts for
32 papers
OmniPoser: Flexible Human Motion Recovery in the Wild with Masked Flow Matching
Minghao Liu, Tutian Tang
Recovering 3D human motion from sparse wearable sensors is challenging due to the inherent noise, occlusion, and instability of real-world tracking signals. Existing approaches are…
Learning solution operators of PDEs with sparse approximation methods
Sebastian Neumayer, Daniel Potts, Fabian Taubert
We investigate the approximation of solution operators for partial differential equations (PDEs) using sparse high-dimensional techniques. Building on a dimension-incremental frame…
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions
Melanie Kircheis, Daniel Potts
An inverse nonequispaced fast Fourier transform (iNFFT) is a fast algorithm to compute the Fourier coefficients of a trigonometric polynomial from nonequispaced sampling data. Howe…
On numerical realizations of Shannon's sampling theorem
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper, we discuss some numerical realizations of Shannon's sampling theorem. First we show the poor convergence of classical Shannon sampling sums by presenting sharp upper…
ANOVA approximation with mixed tensor product basis on scattered points
Daniel Potts, Pascal Schröter
In this paper we consider an orthonormal basis, generated by a tensor product of Fourier basis functions, half period cosine basis functions, and the Chebyshev basis functions. We…
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform
Melanie Kircheis, Daniel Potts
The well-known discrete Fourier transform (DFT) can easily be generalized to arbitrary nodes in the spatial domain. The fast procedure for this generalization is referred to as non…