25 citations · 45 across the 9 of their papers we have counts for
9 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…
Nonequispaced fast Fourier transforms for bandlimited functions
Melanie Kircheis, Daniel Potts
In this paper we consider the problem of approximating function evaluations at given nonequispaced points , , of a bandlimited fu…
Some remarks on regularized Shannon sampling formulas
Melanie Kircheis, Daniel Potts, Manfred Tasche
The fast reconstruction of a bandlimited function from its sample data is an essential problem in signal processing. In this paper, we consider the widely used Gaussian regularized…
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…
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…
On regularized Shannon sampling formulas with localized sampling
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper we present new regularized Shannon sampling formulas which use localized sampling with special window functions, namely Gaussian, B-spline, and sinh-type window funct…
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper we study the nonuniform fast Fourier transform with nonequispaced spatial and frequency data (NNFFT) and the fast sinc transform as its application. The computation o…
Direct inversion of the nonequispaced fast Fourier transform
Melanie Kircheis, Daniel Potts
Various applications such as MRI, solution of PDEs, etc. need to perform an inverse nonequispaced fast Fourier transform (NFFT), i. e., compute Fourier coefficients from given…