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A division-of-focal-plane (DoFP) polarimeter enables us to acquire images with multiple polarization orientations in one shot and thus it is valuable for many applications using polarimetric information. The image processing pipeline for a…

Image and Video Processing · Electrical Eng. & Systems 2025-09-15 Muhamad Daniel Ariff Bin Abdul Rahman , Yusuke Monno , Masayuki Tanaka , Masatoshi Okutomi

Complete determination of the polarisation state of light requires at least four distinct projective measurements of the associated Stokes vector. Stability of state reconstruction, however, hinges on the condition number $\kappa$ of the…

Optics · Physics 2015-12-30 Matthew R. Foreman , Alberto Favaro , Andrea Aiello

The non-line-of-sight imaging technique aims to reconstruct targets from multiply reflected light. For most existing methods, dense points on the relay surface are raster scanned to obtain high-quality reconstructions, which requires a long…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Xintong Liu , Jianyu Wang , Leping Xiao , Xing Fu , Lingyun Qiu , Zuoqiang Shi

Time-of-flight (ToF) cameras calculate depth maps by reconstructing phase shifts of amplitude-modulated signals. For broad illumination or transparent objects, reflections from multiple scene points can illuminate a given pixel, giving rise…

Computer Vision and Pattern Recognition · Computer Science 2014-06-20 Ayush Bhandari , Achuta Kadambi , Refael Whyte , Christopher Barsi , Micha Feigin , Adrian Dorrington , Ramesh Raskar

Today, three-dimensional reconstruction of objects has many applications in various fields, and therefore, choosing a suitable method for high resolution three-dimensional reconstruction is an important issue and displaying high-level…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 F. S. Mortazavi , S. Dajkhosh , M. Saadatseresht

It was generally assumed that the Stokes parameters are complete characterization for the state of polarization of a plane light wave so that their counterparts in quantum optics, called the Stokes operators, represent the polarization of…

Optics · Physics 2023-09-25 Chun-Fang Li , Zhi-Juan Hu

We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties. This situation occurs…

Complex Variables · Mathematics 2022-05-30 Ovidiu Costin , Gerald V. Dunne

The TV-Stokes model is a two-step variational method for image denoising that combines the estimation of a divergence-free tangent field with total variation regularization in the first step and then uses that to reconstruct the image in…

Numerical Analysis · Mathematics 2026-02-20 Andreas Langer , Marc Runft , Talal Rahman , Xue-Cheng Tai , Bin Wu

Decomposition of tomographic reconstructions has many different practical application. We propose two new reconstruction methods that combines the task of tomographic reconstruction with object decomposition. We demonstrate these…

Computational Engineering, Finance, and Science · Computer Science 2017-08-25 Rasmus Dalgas Kongskov , Yiqiu Dong

Speckle Imaging based on triple correlation is a very efficient image reconstruction technique which is used to retrieve Fourier phase information of the object in presence of atmospheric turbulence. We have developed both Direct Bispectrum…

Instrumentation and Methods for Astrophysics · Physics 2014-09-17 Arun Surya , Swapan K. Saha

This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate factor models with increasing rank taking into account…

Statistics Theory · Mathematics 2024-05-22 Maximilian Ofner , Siegfried Hörmann

We show that it is possible to measure polarization with a polarimeter that gets rid of the seeing while still measuring at a frequency well below that of the seeing. We study a standard polarimeter made of two retarders and a beamsplitter.…

Instrumentation and Methods for Astrophysics · Physics 2016-04-20 A. Asensio Ramos

Different methods for simulating the effects of spatial resolution on magnetic field maps are compared, including those commonly used for inter-instrument comparisons. The investigation first uses synthetic data, and the results are…

Solar and Stellar Astrophysics · Physics 2011-06-27 KD Leka , G. Barnes

Division-of-focal-plane (DoFP) polarization imaging technical recently has been applied in many fields. However, the images captured by such sensors cannot be used directly because they suffer from instantaneous field-of-view errors and low…

Image and Video Processing · Electrical Eng. & Systems 2021-10-27 Rongyuan Wu , Yongqiang Zhao , Ning Li , Seong G. Kong

Inverse boundary value problems for the radiative transport equation play important roles in optics-based medical imaging techniques such as diffuse optical tomography (DOT) and fluorescence optical tomography (FOT). Despite the rapid…

Numerical Analysis · Mathematics 2015-06-19 Tian Ding , Kui Ren

We implement the Unified Transform Method of Fokas as a numerical method to solve linear partial differential equations on the half-line. The method computes the solution at any x and t without spatial discretization or time stepping. With…

Numerical Analysis · Mathematics 2020-06-12 Bernard Deconinck , Thomas Trogdon , Xin Yang

This paper introduces a novel feature extraction technique for the analysis of spectral line Stokes profiles. The procedure is based on the use of an auto-associative artificial neural network containing non-linear hidden layers. The neural…

Astrophysics · Physics 2009-11-10 H. Socas-Navarro

We present a simple but powerful technique for the analysis of polarized emission from radio galaxies and other objects. It is based on the fact that images of Stokes parameters often contain considerably more information than is available…

Astrophysics of Galaxies · Physics 2021-11-10 Lawrence Rudnick , Debora Katz , Lerato Sebokolodi

The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr

Signal recovery from nonlinear measurements involves solving an iterative optimization problem. In this paper, we present a framework to optimize the sensing parameters to improve the quality of the signal recovered by the given iterative…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Zikui Cai , Rakib Hyder , M. Salman Asif