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This paper presents a novel approach on solving the phase problem in nuclear magnetic resonance (NMR) diffusion pore imaging, a method, which allows imaging the shape of arbitrary closed pores filled with an NMR-detectable medium for…

In this paper, we propose a novel approach to the rank minimization problem, termed rank residual constraint (RRC) model. Different from existing low-rank based approaches, such as the well-known nuclear norm minimization (NNM) and the…

Computer Vision and Pattern Recognition · Computer Science 2020-02-05 Zhiyuan Zha , Xin Yuan , Bihan Wen , Jiantao Zhou , Jiachao Zhang , Ce Zhu

It is demonstrated that non-constant kernel solution, that can fit the spatial variations of the kernel can be obtained with minimum computing time. The CPU cost required with this new extension of the image subtraction method is almost the…

Astrophysics · Physics 2007-05-23 C. Alard

Nowaday, in study of effective interactions, more attention is devoted to single-particle properties of near-magic nuclei and bulk properties of deformed ones but quasiparticle states of the latter are rarely used so far because of…

Nuclear Theory · Physics 2011-11-29 N. A. Lyutorovich

Computer vision tasks require processing large amounts of data to perform image classification, segmentation, and feature extraction. Optical preprocessors can potentially reduce the number of floating point operations required by computer…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Maksym Zhelyeznuyakov , Johannes E. Fröch , Shane Colburn , Steven L. Brunton , Arka Majumdar

A fast implementation of the OPED algorithm, a reconstruction algorithm for Radon data introduced recently, is proposed and tested. The new implementation uses FFT for discrete sine transform and an interpolation step. The convergence of…

Numerical Analysis · Mathematics 2007-05-23 Yuan Xu , Oleg Tischenko

The interpolation-regression approximation is a powerful tool in numerical analysis for reconstructing functions defined on square or triangular domains from their evaluations at a regular set of nodes. The importance of this technique lies…

Numerical Analysis · Mathematics 2025-08-12 Francesco Dell'Accio , Francisco Marcellán , Federico Nudo

We address the ambiguities in the super-resolution problem under translation. We demonstrate that combinations of low-resolution images at different scales can be used to make the super-resolution problem well posed. Such differences in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Daniel Fu , Gabby Litterio , Pedro Felzenszwalb , Rashid Zia

Image reconstruction based on an edge-sparsity assumption has become popular in recent years. Many methods of this type are capable of reconstructing nearly perfect edge-sparse images using limited data. In this paper, we present a method…

Image and Video Processing · Electrical Eng. & Systems 2019-02-04 Victor Churchill , Anne Gelb

Revivals of optical coherence of molecular photoassociation driven by two ultrashort laser pulses are addressed in the Condon approach. Based on textbook examples and numerical simulation of KrF excimer molecules, a prediction is made about…

Atomic Physics · Physics 2015-06-26 Alexander G. Rudavets , Alexander M. Dykhne

Achieving high spatial resolution is the goal of many imaging systems. Designing a high-resolution lens with diffraction-limited performance over a large field of view remains a difficult task in imaging system design. On the other hand,…

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

Paganin's method for image reconstruction in propagation-based phase-contrast X-ray imaging and tomography has enjoyed broad acceptance in recent years, with over one thousand publications citing its use. The present paper discusses…

Medical Physics · Physics 2026-01-13 Timur E. Gureyev , David M. Paganin , Ashkan Pakzad , Harry M. Quiney

Combining fast MR acquisition sequences and high resolution imaging is a major issue in dynamic imaging. Reducing the acquisition time can be achieved by using non-Cartesian and sparse acquisitions. The reconstruction of MR images from…

Computer Vision and Pattern Recognition · Computer Science 2009-08-25 R. Boubertakh , J. -F. Giovannelli , A. Herment , A. De Cesare

Geometric moments and moment invariants of image artifacts have many uses in computer vision applications, e.g. shape classification or object position and orientation. Higher order moments are of interest to provide additional feature…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 William Diggin , Michael Diggin

We propose a variational regularisation approach for the problem of template-based image reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed tomography. An image is reconstructed from such measurements…

Optimization and Control · Mathematics 2019-04-02 Lukas F. Lang , Sebastian Neumayer , Ozan Öktem , Carola-Bibiane Schönlieb

The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper we address this issue for photoacoustic computed tomography in circular geometry. We investigate the Galerkin…

Numerical Analysis · Mathematics 2017-10-23 Johannes Schwab , Sergiy Pereverzyev , Markus Haltmeier

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Reza Arablouei , Frank de Hoog

Reconstructing perceived images from human brain activity monitored by functional magnetic resonance imaging (fMRI) is hard, especially for natural images. Existing methods often result in blurry and unintelligible reconstructions with low…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Mali Halac , Murat Isik , Hasan Ayaz , Anup Das

Preserving details in restoring images highly corrupted by impulse noise remains a challenging problem. We proposed an algorithm based on radial basis functions (RBF) interpolation which estimates the intensities of corrupted pixels by…

Multimedia · Computer Science 2017-02-17 Fariborz Taherkhani , Mansour Jamzad
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