Zobrazeno 1 - 10
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pro vyhledávání: '"Quellmalz A"'
The fast computation of large kernel sums is a challenging task, which arises as a subproblem in any kernel method. We approach the problem by slicing, which relies on random projections to one-dimensional subspaces and fast Fourier summation. We pro
Externí odkaz:
http://arxiv.org/abs/2410.01316
Computations in high-dimensional spaces can often be realized only approximately, using a certain number of projections onto lower dimensional subspaces or sampling from distributions. In this paper, we are interested in pairs of real-valued function
Externí odkaz:
http://arxiv.org/abs/2408.11612
This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction theorem in arbitrary dimension, giving a precise relation in the Four
Externí odkaz:
http://arxiv.org/abs/2407.01793
Autor:
Melnyk, Oleh, Quellmalz, Michael, Steidl, Gabriele, Jaitner, Noah, Jordan, Jakob, Sack, Ingolf
In this paper, we propose mathematical models for reconstructing the optical flow in time-harmonic elastography. In this image acquisition technique, the object undergoes a special time-harmonic oscillation with known frequency so that only the spati
Externí odkaz:
http://arxiv.org/abs/2405.15507
Sliced optimal transport, which is basically a Radon transform followed by one-dimensional optimal transport, became popular in various applications due to its efficient computation. In this paper, we deal with sliced optimal transport on the sphere
Externí odkaz:
http://arxiv.org/abs/2401.16896
Autor:
Negm, Nour, Zayouna, Sarah, Parhizkar, Shayan, Lin, Pen-Sheng, Huang, Po-Han, Suckow, Stephan, Schroeder, Stephan, De Luca, Eleonora, Briano, Floria Ottonello, Quellmalz, Arne, Duesberg, Georg S., Niklaus, Frank, Gylfason, Kristinn B., Lemme, Max C.
Cost-efficient and easily integrable broadband mid-infrared (mid-IR) sources would significantly enhance the application space of photonic integrated circuits (PICs). Thermal incandescent sources are superior to other common mid-IR emitters based on
Externí odkaz:
http://arxiv.org/abs/2308.04046
Publikováno v:
Inverse Problems 39(10), article number 105005, 2023
Sliced optimal transport reduces optimal transport on multi-dimensional domains to transport on the line. More precisely, sliced optimal transport is the concatenation of the well-known Radon transform and the cumulative density transform, which anal
Externí odkaz:
http://arxiv.org/abs/2304.09092
Publikováno v:
In: Calatroni, L., Donatelli, M., Morigi, S., Prato, M., Santacesaria, M. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2023. Lecture Notes in Computer Science, vol 14009. Springer, Cham
The Funk-Radon transform assigns to a function defined on the unit sphere its integrals along all great circles of the sphere. In this paper, we consider a frame decomposition of the Funk-Radon transform, which is a flexible alternative to the singul
Externí odkaz:
http://arxiv.org/abs/2303.05179
Publikováno v:
Sampling Theory, Signal Processing, and Data Analysis 21, Article number: 23, 2023. (Open access)
The double Fourier sphere (DFS) method uses a clever trick to transform a function defined on the unit sphere to the torus and subsequently approximate it by a Fourier series, which can be evaluated efficiently via fast Fourier transforms. Similar ap
Externí odkaz:
http://arxiv.org/abs/2301.06540
Autor:
Beinert, Robert, Quellmalz, Michael
Publikováno v:
Proc. Appl. Math. Mech., 2023, Vol. 22: e202200135
We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an irregular, time-de
Externí odkaz:
http://arxiv.org/abs/2210.03495