Images Degraded by Nonlinear Motion Blurs: Mathematical Models, Algorithms and Applications

非线性运动模糊导致的图像质量下降：数学模型、算法和应用

基本信息

批准号：
0511454
负责人：
James Nagy
金额：
$ 26.64万
依托单位：
Emory University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2005
资助国家：
美国
起止时间：
2005-07-01 至 2008-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0511454&HistoricalAwards=false
关键词：
Images Degraded Nonlinear Motion Blurs

项目摘要

This project is concerned with the development of algorithms andsoftware for the restoration of images degraded by nonlinear andnonuniform motion blurs. The problems to be addressed by theinvestigator and his colleagues include the development of anappropriate mathematical model for nonlinear motion blurs, analysis ofthe ill-conditioning of the blurring process, development of efficientalgorithms for removing motion blur, and development of software forspecific applications. Algorithm and software development is neededfor the solution of large scale, severely ill-conditioned linearsystems that arise in the discrete formulation of these problems. Fornonlinear and nonuniform motion, these systems generally have noexploitable structure; that is, standard deconvolution techniques thatuse fast Fourier transforms are not applicable. Images used for surveillance, medical diagnostic, and other scientificpurposes are rarely perfect. Imperfections in the imaging system andenvironmental effects may result in serious degradations, such asblurring, in the recorded image. Postprocessing techniques (i.e.,computational methods) are often necessary to obtain better qualitypictures. Designing appropriate algorithms requires accuratemathematical modeling of the image formation process, and developmentof robust, efficient computational tools. One of the most commoncauses of blurring in images is motion of either the recording deviceor the objects being imaged. Although linear motion, with constantspeed and direction, is well understood, very little work has beendone to develop mathematical models and efficient algorithms for therestoration of images degraded by nonlinear and nonuniform motionblurs. The investigator and his colleagues consider this difficult,important problem. The software developed through this project can beapplied to many important applications, including medical imaging(e.g., movement of the heart during cardiac imaging processes), aerialand video surveillance, forensic investigations, and astronomicalimaging.

该项目涉及算法和软件的开发，以恢复非线性和诺晶态运动模糊的降解图像。评估者及其同事将要解决的问题包括开发用于非线性运动模糊的不适当数学模型，分析模糊过程的不良条件，开发用于消除运动模糊的有效质量以及软件特定应用程序的开发。对于这些问题的离散表述中出现的大规模，严重条件的线性系统解决方案需要算法和软件开发。这些系统通常没有可疑的结构。也就是说，不适用快速傅立叶变换的标准反卷积技术。用于监视，医学诊断和其他科学现象的图像很少是完美的。成像系统中的缺陷和环境效应可能会导致记录的图像中的严重降解（例如膨胀）。在获得更好质量的图片方面，通常需要使用后处理技术（即计算方法）。设计适当的算法需要图像形成过程的精确数学模型，以及强大，有效的计算工具的开发。图像中最常见的原因之一是录制设备的运动。尽管线性运动具有恒定的方向和方向，但据了解，但很少有工作要开发数学模型和有效算法，以通过非线性和非均匀的动态刀片降解图像的处理。调查员及其同事认为这个困难，重要的问题。通过该项目开发的软件可能会影响许多重要的应用，包括医学成像（例如心脏成像过程中心脏的运动），空中和视频监视，法医调查和天文图像。