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Near-range portrait photographs often contain perspective distortion artifacts that bias human perception and challenge both facial recognition and reconstruction techniques. We present the first deep learning based approach to remove such…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Yajie Zhao , Zeng Huang , Tianye Li , Weikai Chen , Chloe LeGendre , Xinglei Ren , Jun Xing , Ari Shapiro , Hao Li

Image deblurring is an ill-posed problem with multiple plausible solutions for a given input image. However, most existing methods produce a deterministic estimate of the clean image and are trained to minimize pixel-level distortion. These…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Jay Whang , Mauricio Delbracio , Hossein Talebi , Chitwan Saharia , Alexandros G. Dimakis , Peyman Milanfar

We present a highly efficient blind restoration method to remove mild blur in natural images. Contrary to the mainstream, we focus on removing slight blur that is often present, damaging image quality and commonly generated by small…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Mauricio Delbracio , Ignacio Garcia-Dorado , Sungjoon Choi , Damien Kelly , Peyman Milanfar

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Multimedia · Computer Science 2010-11-12 Ali Ayremlou , Mohammad Tofighi , Farokh Marvasti

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling…

Functional Analysis · Mathematics 2011-08-30 Isaac Pesenson , Eric Grinberg

Accurate camera calibration is a fundamental task for 3D perception, especially when dealing with real-world, in-the-wild environments where complex optical distortions are common. Existing methods often rely on pre-rectified images or…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Liuyue Xie , Jiancong Guo , Ozan Cakmakci , Andre Araujo , Laszlo A. Jeni , Zhiheng Jia

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Computer Vision and Pattern Recognition · Computer Science 2012-05-15 Mohammad Tofighi , Ali Ayremlou , Farokh Marvasti

In this work we present some results that allow to improve the decoding radius in solving polynomial linear systems with errors in the scenario where errors are additive and randomly distributed over a finite field. The decoding radius…

Information Theory · Computer Science 2020-03-05 Eleonora Guerrini , Romain Lebreton , Ilaria Zappatore

The Rational Polynomial Camera (RPC) model can be used to describe a variety of image acquisition systems in remote sensing, notably optical and Synthetic Aperture Radar (SAR) sensors. RPC functions relate 3D to 2D coordinates and vice…

Image and Video Processing · Electrical Eng. & Systems 2022-03-17 Roland Akiki , Roger Marí , Carlo de Franchis , Jean-Michel Morel , Gabriele Facciolo

An unbiased method for improving the resolution of astronomical images is presented. The strategy at the core of this method is to establish a linear transformation between the recorded image and an improved image at some desirable…

Astrophysics · Physics 2016-08-30 F. P. Pijpers

Radiology reports for the same patient examination may contain clinically meaningful discrepancies arising from interpretation differences, reporting variability, or evolving assessments. Systematic analysis of such discrepancies is…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zhaoyi Sun , Minal Jagtiani , Wen-wai Yim , Fei Xia , Martin Gunn , Meliha Yetisgen , Asma Ben Abacha

In this paper, we present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. That is, we deal with mathematical objects that are assumed to be given approximately. More precisely, given a tolerance…

Algebraic Geometry · Mathematics 2014-10-28 Sonia Perez-Diaz , Li-Yong Shen

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Summary: Errors in gradient trajectories introduce significant artifacts and distortions in magnetic resonance images, particularly in non-Cartesian imaging sequences, where imperfect gradient waveforms can greatly reduce image quality.…

Medical Physics · Physics 2025-06-19 Jonathan B. Martin , Hannah E. Alderson , John C. Gore , Mark D. Does , Kevin D. Harkins

This paper addresses the high precision measurement of the distortion of a digital camera from photographs. Traditionally, this distortion is measured from photographs of a flat pattern which contains aligned elements. Nevertheless, it is…

Computer Vision and Pattern Recognition · Computer Science 2012-12-27 Zhongwei Tang , Rafael Grompone von Gioi , Pascal Monasse , Jean-Michel Morel

A simple, yet general, formalism for the optimized linear combination of astrophysical images is constructed and demonstrated. The formalism allows the user to combine multiple undersampled images to provide oversampled output at high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Barnaby Rowe , Christopher Hirata , Jason Rhodes

This paper introduces the first minimal solvers that jointly solve for affine-rectification and radial lens distortion from coplanar repeated patterns. Even with imagery from moderately distorted lenses, plane rectification using the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 James Pritts , Zuzana Kukelova , Viktor Larsson , Ondrej Chum

We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments…

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Anatoli Rodionov , Andrei Chourkin

Laparoscopic images and videos are often affected by different types of distortion like noise, smoke, blur and nonuniform illumination. Automatic detection of these distortions, followed generally by application of appropriate image quality…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Zohaib Amjad Khan , Azeddine Beghdadi , Mounir Kaaniche , Faouzi Alaya Cheikh

In this paper, we study unirational differential curves and the corresponding differential rational parametrizations. We first investigate basic properties of proper differential rational parametrizations for unirational differential…

Algebraic Geometry · Mathematics 2020-01-27 Lei Fu , Wei Li