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We introduce a novel framework for upsampled Point Spread Function (PSF) modeling using pixel-level Bayesian inference. Accurate PSF characterization is critical for precision measurements in many fields including: weak lensing, astrometry,…

Instrumentation and Methods for Astrophysics · Physics 2025-11-26 Connor Stone , Ronan Legin , Alexandre Adam , Nikolay Malkin , Gabriel Missael Barco , Laurence Perreaul-Levasseur , Yashar Hezaveh

The key features of the MATPHOT algorithm for precise and accurate stellar photometry and astrometry using discrete Point Spread Functions are described. A discrete Point Spread Function (PSF) is a sampled version of a continuous PSF which…

Astrophysics · Physics 2009-11-11 Kenneth J. Mighell

In this paper, we propose a new approach, based on the so-called modulating functions to estimate the average velocity, the dispersion coefficient and the differentiation order in a space fractional advection dispersion equation. First, the…

Optimization and Control · Mathematics 2014-02-12 Abeer Aldoghaither , Taous-Meriem Laleg-Kirati , Da-Yan Liu

We propose a Gauss-Legendre quadrature based sampling on the rotation group for the representation of a band-limited signal such that the Fourier transform (FT) of a signal can be exactly computed from its samples. Our figure of merit is…

Information Theory · Computer Science 2017-11-27 Zubair Khalid , Salman Durrani , Rodney A. Kennedy , Yves Wiaux , Jason D. McEwen

The short-time Fourier transform (STFT) is a time-frequency representation widely used in applications, for example in audio signal processing. Recently it has been shown that not only the amplitude, but also the phase of this…

Functional Analysis · Mathematics 2015-11-20 Peter Balazs , Dominik Bayer , Florent Jaillet , Peter Søndergaard

The mean squared displacement (MSD) of particles or probes is commonly estimated from microscopy videos using particle tracking approaches, which rely on tuning parameters manually, and are often unstable over the entire lag time range,…

Applications · Statistics 2026-05-29 Tong Lin , Jinseok Lee , Matt Helgeson , Megan T. Valentine , Yimin Luo , Mengyang Gu

To address the non-optimal global design caused by the independent optimization of optical lenses, photodetectors, and computational processing subsystems in traditional remote sensing imaging system design, this paper proposes a holistic…

Optics · Physics 2025-12-22 Jianan Pan , Junbo Hao , Qixiang Gao , Xing Zhong

We present TFF, which is a Transformer framework for the analysis of functional Magnetic Resonance Imaging (fMRI) data. TFF employs a two-phase training approach. First, self-supervised training is applied to a collection of fMRI scans,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-16 Itzik Malkiel , Gony Rosenman , Lior Wolf , Talma Hendler

Fourier ptychography microscopy (FPM) is a new computational imaging technique that can provide gigapixel images with both high resolution and a wide field of view (FOV). However, time consuming of the data-acquisition process is a critical…

Image and Video Processing · Electrical Eng. & Systems 2018-08-15 Ao Zhou , Ni Chen , Haichao Wang , Guohai Situ

Predicting the effects of physical perturbations on optical channels is critical for advanced photonic devices, but existing modelling techniques are often computationally intensive or require exhaustive characterisation. We present a novel…

Optics · Physics 2025-09-03 Joshua R. Jandrell , Mitchell A. Cox

Multi-focus image fusion (MFF) is a fundamental task in the field of computational photography. Current methods have achieved significant performance improvement. It is found that current methods are evaluated on simulated image sets or…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Shuang Xu , Xiaoli Wei , Chunxia Zhang , Junmin Liu , Jiangshe Zhang

To obtain the initial pressure from the collected data on a planar sensor arrangement in Photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

Numerical Analysis · Mathematics 2015-01-14 Julian Schmid , Thomas Glatz , Behrooz Zabihian , Mengyang Liu , Wolfgang Drexler , Otmar Scherzer

We study an application of the quantum tomography framework for the time-frequency analysis of modulated signals. In particular, we calculate optical tomographic representations and Wigner-Ville distributions for signals with amplitude and…

Signal Processing · Electrical Eng. & Systems 2020-09-29 A. S. Mastiukova , M. A. Gavreev , E. O. Kiktenko , A. K. Fedorov

A forward model is presented to an inverse scattering problem that arises in the application of reflective Fourier ptychographic microscopy. The model allows us to determine the 3D distributions of refractive index for weakly scattering…

Optics · Physics 2020-08-25 Shuhe Zhang , Tos Berendschot , Shuo Zhang

Fourier ptychography microscopy (FPM), sharing its roots with synthetic aperture technique and phase retrieval method, is a recently developed computational microscopic super-resolution technique. By turning on the light-emitting diode…

Optics · Physics 2021-05-07 G. Zhou , S. Zhang , C. Zheng , T. Li , Y. Hu , Q. Hao

The service conditions of wheelset bearings has a direct impact on the safe operation of railway heavy haul freight trains as the key components. However, speed fluctuation of the trains and few fault samples are the two main problems that…

Machine Learning · Computer Science 2025-05-27 Chao He , Hongmei Shi , Ruixin Li , Jianbo Li , ZuJun Yu

The ability to form images through hair-thin optical fibres promises to open up new applications from biomedical imaging to industrial inspection. Unfortunately, deployment has been limited because small changes in mechanical deformation…

This paper demonstrates a method of interpreting the mechanism of aberration of optical systems based on non-Fourier transform optical transfer function (OTF). According to the parameters of object plane cosine fringe, we obtain the…

Optics · Physics 2018-12-27 Yu Bai , Jiaqi Chen , Fangjie Li , Zhenming Zhao

Medical image segmentation plays an important role in accurately identifying and isolating regions of interest within medical images. Generative approaches are particularly effective in modeling the statistical properties of segmentation…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Lea Bogensperger , Dominik Narnhofer , Alexander Falk , Konrad Schindler , Thomas Pock

Fine-tuning is widely applied in image classification tasks as a transfer learning approach. It re-uses the knowledge from a source task to learn and obtain a high performance in target tasks. Fine-tuning is able to alleviate the challenge…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Xuyang Shen , Jo Plested , Sabrina Caldwell , Yiran Zhong , Tom Gedeon