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We present an implementation of a new approach to diffeomorphic non-rigid registration of medical images. The method is based on optical flow and warps images via gradient flow with the standard $L^2$ inner product. To compute the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Daniel Grzech , Loïc le Folgoc , Mattias P. Heinrich , Bishesh Khanal , Jakub Moll , Julia A. Schnabel , Ben Glocker , Bernhard Kainz

Parallel MRI is a fast imaging technique that enables the acquisition of highly resolved images in space. It relies on $k$-space undersampling and multiple receiver coils with complementary sensitivity profiles in order to reconstruct a…

The Fast Fourier Transform (FFT) is an algorithm of paramount importance in signal processing as it allows to apply the Fourier transform in O(n log n) instead of O(n 2) arithmetic operations. Graph Signal Processing (GSP) is a recent…

Numerical Analysis · Computer Science 2017-06-19 Luc Le Magoarou , Rémi Gribonval , Nicolas Tremblay

In this paper, we propose Fourier pseudospectral methods to solve the variable-order space fractional wave equation and develop an accelerated matrix-free approach for its effective implementation. In constant-order cases, our methods can…

Numerical Analysis · Mathematics 2024-02-06 Yanzhi Zhang , Xiaofei Zhao , Shiping Zhou

Parallel magnetic resonance imaging (MRI) is a technique of image acceleration which takes advantage of the localization of the field of view (FOV) of coils in an array. In this letter we show that metamaterial lenses based on…

Medical Physics · Physics 2017-01-08 Manuel J. Freire , Marcos A. Lopez , Jose M. Algarin , Felix Breuer , Ricardo Marqués

This paper introduces a new fast algorithm for the 8-point discrete cosine transform (DCT) based on the summation-by-parts formula. The proposed method converts the DCT matrix into an alternative transformation matrix that can be decomposed…

Data Structures and Algorithms · Computer Science 2018-03-30 D. F. G. Coelho , R. J. Cintra , V. S. Dimitrov

We propose fast, exact and efficient algorithms for the convolution of two arbitrary functions on the sphere which speed up computations by a factor \order{\sqrt{N}} compared to present methods where $N$ is the number of pixels. No…

Astrophysics · Physics 2009-10-31 Benjamin D. Wandelt , Krzysztof M. Gorski

Computing a sample mean of time series under dynamic time warping (DTW) is NP-hard. Consequently, there is an ongoing research effort to devise efficient heuristics. The majority of heuristics have been developed for the constrained sample…

Data Structures and Algorithms · Computer Science 2020-02-26 Brijnesh Jain , Vincent Froese , David Schultz

Fourier ptychographic microscopy enables gigapixel-scale imaging, with both large field-of-view and high resolution. Using a set of low-resolution images that are recorded under varying illumination angles, the goal is to computationally…

Signal Processing · Electrical Eng. & Systems 2018-03-13 Emrah Bostan , Mahdi Soltanolkotabi , David Ren , Laura Waller

Purpose: In multi-spectral imaging (MSI), several fast spin echo volumes with discrete Larmor frequency offsets are acquired in an interleaved fashion with multiple concatenations. Here, a variable resolution (VR) method to nearly halve…

Medical Physics · Physics 2023-06-06 Nikolai J. Mickevicius , Azadeh Sharafi , Andrew S. Nencka , Kevin M. Koch

Ptychography is a popular imaging technique that combines diffractive imaging with scanning microscopy. The technique consists of a coherent beam that is scanned across an object in a series of overlapping positions, leading to reliable and…

Numerical Analysis · Mathematics 2024-08-08 Ricardo Parada , Samy Wu Fung , Stanley Osher

In this paper, we propose a Gaussian Process (GP) emulator for the calculation of a) tomographic weak lensing band-power spectra, and b) coefficients of summary data massively compressed with the MOPED algorithm. In the former case…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Arrykrishna Mootoovaloo , Alan F. Heavens , Andrew H. Jaffe , Florent Leclercq

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Magnetic Resonance Imaging (MRI) requires a trade-off between resolution, signal-to-noise ratio, and scan time, making high-resolution (HR) acquisition challenging. Therefore, super-resolution for MR image is a feasible solution. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-09-17 Weifeng Wei , Heng Chen , Pengxiang Su

We present a comprehensive investigation of the F-statistic method for parameter estimation of gravitational wave (GW) signals from compact binary coalescences. By analytically maximizing the likelihood over the luminosity distance and…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Hai-Tian Wang

Gaussian Splatting (GS) has emerged as a dominating technique for image rendering and has quickly been adapted for the X-ray Computed Tomography (CT) reconstruction task. However, despite being on par or better than many of its…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Pawel Tomasz Pieta , Rasmus Juul Pedersen , Sina Borgi , Jakob Sauer Jørgensen , Jens Wenzel Andreasen , Vedrana Andersen Dahl

This paper presents a novel preconditioning strategy for the classic 8-point algorithm (8-PA) for estimating an essential matrix from 360-FoV images (i.e., equirectangular images) in spherical projection. To alleviate the effect of uneven…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Bolivar Solarte , Chin-Hsuan Wu , Kuan-Wei Lu , Min Sun , Wei-Chen Chiu , Yi-Hsuan Tsai

In order to increase the efficiency of phase retrieval,Wang proposed a high-speed moire phase retrieval method.But it is used only to measure the tiny object. In view of the limitation of Wang method,we proposed a dynamic three-dimensional…

Optics · Physics 2023-10-18 Canlin Zhou , Shuchun Si , XiaoLei Li , Zhenkun Lei , Yanjie Li , Chaorui Zhang

Phase-averaging is a fundamental approach for investigating periodic and non-stationary phenomena. In fluid dynamics, these can be generated by rotating blades such as propellers/turbines or by pulsed jets. Traditional phase-averaging…

Fluid Dynamics · Physics 2025-02-20 Enrico Amico , Sara Montagner , Jacopo Serpieri , Gioacchino Cafiero

High-resolution magnetic resonance imaging (MRI) is essential in clinical diagnosis. However, its long acquisition time remains a critical issue. Parallel imaging (PI) is a common approach to reduce acquisition time by periodically skipping…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Hao Li , Yusheng Zhou , Jianan Liu , Xiling Liu , Tao Huang , Zhihan Lyu , Weidong Cai , Wei Chen