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Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

In this paper, we propose a novel method for joint recovery of camera pose, object geometry and spatially-varying Bidirectional Reflectance Distribution Function (svBRDF) of 3D scenes that exceed object-scale and hence cannot be captured…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Carolin Schmitt , Božidar Antić , Andrei Neculai , Joo Ho Lee , Andreas Geiger

Recovering the missing regions of an image is a task that is called image inpainting. Depending on the shape of missing areas, different methods are presented in the literature. One of the challenges of this problem is extracting features…

Computer Vision and Pattern Recognition · Computer Science 2020-01-13 Ghazale Ghorbanzade , Zahra Nabizadeh , Nader Karimi , Shadrokh Samavi

In a number of tomographic applications, data cannot be fully acquired, resulting in a severely underdetermined image reconstruction. In such cases, conventional methods lead to reconstructions with significant artifacts. To overcome these…

Numerical Analysis · Mathematics 2023-06-21 Simon Göppel , Jürgen Frikel , Markus Haltmeier

Iterative ptychographic reconstruction algorithms are widely used for coherent diffractive imaging but can exhibit slow convergence under realistic experimental conditions. We propose a machine learning-augmented approach that accelerates…

We study noise in iterative reconstruction from discrete noisy data of a generalized Radon transform in the plane. Our approach builds on Local Reconstruction Analysis (LRA), a framework for analyzing reconstructions at the native scale. We…

Numerical Analysis · Mathematics 2025-09-23 Alexander Katsevich

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

Image reconstruction of low-count positron emission tomography (PET) data is challenging. Kernel methods address the challenge by incorporating image prior information in the forward model of iterative PET image reconstruction. The…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Siqi Li , Kuang Gong , Ramsey D. Badawi , Edward J. Kim , Jinyi Qi , Guobao Wang

In this paper, an algorithm is proposed for Image Restoration. Such algorithm is different from the traditional approaches in this area, by utilizing priors that are learned from similar images. Original images and their degraded versions…

Computer Vision and Pattern Recognition · Computer Science 2010-03-25 Md. Imran Hossain , Syed Golam Rajib

The reconstruction of images from measured data is an increasing field of research. For highly under-determined problems, template-based image reconstruction provides a way of compensating for the lack of sufficient data. A caveat of this…

Optimization and Control · Mathematics 2023-05-29 Sebastian Neumayer , Antonia Topalovic

Existing methods for reconstructing interactive scenes primarily focus on replacing reconstructed objects with CAD models retrieved from a limited database, resulting in significant discrepancies between the reconstructed and observed…

Robotics · Computer Science 2023-08-02 Zeyu Zhang , Lexing Zhang , Zaijin Wang , Ziyuan Jiao , Muzhi Han , Yixin Zhu , Song-Chun Zhu , Hangxin Liu

In this article we study the problem of recovering the unknown solution of a linear ill-posed problem, via iterative regularization methods. We review the problem of projection-regularization from a statistical point of view. A basic…

Statistics Theory · Mathematics 2007-06-13 Ana K. Fermin , Carenne Ludena

Crucial information barely visible to the human eye is often embedded in a series of low-resolution images taken of the same scene. Super-resolution enables the extraction of this information by reconstructing a single image, at a high…

Computer Vision and Pattern Recognition · Computer Science 2011-12-08 S. S. Panda , M. S. R. S Prasad , G. Jena

Computed Tomography (CT) reconstruction of objects with cylindrical symmetry can be performed with a single projection. When the measured rays are parallel, and the axis of symmetry is perpendicular to the optical axis, the data can be…

Medical Physics · Physics 2024-10-15 Kyle M. Champley , Ibrahim Oksuz , Matthew G. Bisbee , Joseph W. Tringe , Brian Maddox

Reconstructing dynamic, time-varying scenes with computed tomography (4D-CT) is a challenging and ill-posed problem common to industrial and medical settings. Existing 4D-CT reconstructions are designed for sparse sampling schemes that…

Image and Video Processing · Electrical Eng. & Systems 2021-04-26 Albert W. Reed , Hyojin Kim , Rushil Anirudh , K. Aditya Mohan , Kyle Champley , Jingu Kang , Suren Jayasuriya

Reconstructing a complete object from its parts is a fundamental problem in many scientific domains. The purpose of this article is to provide a systematic survey on this topic. The reassembly problem requires understanding the attributes…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jiaxin Lu , Yongqing Liang , Huijun Han , Jiacheng Hua , Junfeng Jiang , Xin Li , Qixing Huang

With the advent of infrared long-baseline interferometers with more than two telescopes, both the size and the completeness of interferometric data sets have significantly increased, allowing images based on models with no a priori…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Stéphanie Renard , Eric Thiébaut , Fabien Malbet

In this paper we broadly consider techniques which utilize projections on rays for data collection, with particular emphasis on optical techniques. We formulate a variety of imaging techniques as either special cases or extensions of…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Keith Dillon , Yeshaiahu Fainman

Several important classes of images such as text, barcode and pattern images have the property that pixels can only take a distinct subset of values. This knowledge can benefit the restoration of such images, but it has not been widely…

Computer Vision and Pattern Recognition · Computer Science 2015-08-21 Xing Mei , Honggang Qi , Bao-Gang Hu , Siwei Lyu

This paper is about the efficient generation of dense, colored models of city-scale environments from range data and in particular, stereo cameras. Better maps make for better understanding; better understanding leads to better robots, but…

Computer Vision and Pattern Recognition · Computer Science 2016-04-14 Michael Tanner , Pedro Pinies , Lina Maria Paz , Paul Newman
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