Blind Poissonian images deconvolution with framelet regularization

We propose a maximum a posteriori blind Poissonian images deconvolution approach with framelet regularization for the image and total variation (TV) regularization for the point spread function. Compared with the TV based methods, our algorithm not only suppresses noise effectively but also recovers edges and detailed information. Moreover, the split Bregman method is exploited to solve the resulting minimization problem. Comparative results on both simulated and real images are reported.

2008 TIP Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal

Abstract—In this paper, we present the adaptive bilateral filter (ABF) for sharpness enhancement and noise removal. The ABF sharpens an image by increasing the slope of the edges without producing overshoot or undershoot. It is an approach to sharpness enhancement that is fundamentally different from the unsharp mask (USM). This new approach to slope restoration also differs significantly from previous slope restoration algorithms in that the ABF does not involve detection of edges or their orientation, or extraction of edge profiles. In the ABF, the edge slope is enhanced by transforming the histogram via a range filter with adaptive offset and width. The ABF is able to smooth the noise, while enhancing edges and textures in the image. The parameters of the ABF are optimized with a training procedure. ABF restored images are significantly sharper than those restored by the bilateral filter. Compared with an USM based sharpening method—the optimal unsharp mask (OUM), ABF restored edges are as sharp as those rendered by the OUM, but without the halo artifacts that appear in the OUM restored image. In terms of noise removal, ABF also outperforms the bilateral filter and the OUM. We demonstrate that ABF works well for both natural images and text images.

基于广义Huber-MRF图像建模的超分辨率复原算法

超分辨率图像复原是当今一个重要的热门研究课题.鉴于双边滤波优良的噪声抑制性和鲁棒的边缘保持性,提出一种双边滤波导出的广义MRF(Markov random field)图像先验模型.广义MRF模型不仅继承了双边滤波在阶数大邻域中的双重异性加权机制,且简洁地建立了双边滤波与Bayesian MAP(maximum a posterior)方法之间的理论联系.同时,由广义MRF模型导出了一种各向异性扩散PDE(partial differential equation)的改进数值解法.随后,在MRF-MAP框架下分别考虑高斯噪声和脉冲噪声两种情形,提出一种基于广义Huber-MRF模型的超分辨率复原算法,理论上保证具有严格全局最优解,并且利用半二次正则化思想和最速下降法求解相应的最小能量泛函.不论是视觉效果方面,还是峰值信噪比(PSNR)方面,实验结果都验证了广义Huber-MRF模型在超分辨图像复原中具有更强的噪声抑制性和边缘保持能力.

An Invitation to 3-D Vision From Images to Models

Product Description This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory. Review From the reviews: "Computer vision is invading our daily lives … . Covering all the aspects would be too vast an area to cover in one book, so here, the authors concentrated on the specific goal of recovering the geometry of a 3D object … . The 22 pages of references form a good guide to the literature. The authors found an excellent balance between a thorough mathematical treatment and the applications themselves. … the text will be a pleasure to read for students … ." (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 12 (2), 2005) "This is primarily a textbook of core principles, taking the reader from the most basic concepts of machine vision … to detailed applications, such as autonomous vehicle navigation. … It is a clearly written book … . Everything that is required is introduced … . an entirely self-contained work. … The book is aimed at graduate or advanced undergraduate students in electrical engineering, computer science, applied mathematics, or indeed anyone interested in machine vision … . is highly recommended." (D.E. Holmgren, The Photogrammetric Record, 2004) "This very interesting book is a great book teaching how to go from two-dimensional (2D)-images to three-dimensional (3D)-models of the geometry of a scene. … A good part of this book develops the foundations of an appropriate mathematical approach necessary for solving those difficult problems. … Exercises (drill exercises, advanced exercises and programming exercises) are provided at the end of each chapter." (Hans-Dietrich Hecker, Zentralblatt MATH, Vol. 1043 (18), 2004) "This book gives senior undergraduate and beginning graduate students and researchers in computer vision, applied mathematics, computer graphics, and robotics a self-contained introduction to the geometry of 3D vision. That is the reconstruction of 3D models of objects from a collection of 2D images. … Exercises are provided at the end of each chapter. Software for examples and algorithms are available on the author’s website." (Daniel Leitner, Simulation News Europe, Vol. 16 (1), 2006)

偏微分方程概貌 谷超豪

本书是数学概貌丛书之一，介绍了偏微分方程的一些基本知识，内容有：典型的数学物理方程、初始值问题、初边值问题、拉普拉斯方程的边值问题、唯一性和适定性、线性偏微分方程的分型研究、线性偏微分方程的一般理论、非线性偏微分方程的来源等等。

Well-posed, Ill-posed, and Intermediate Problems with Applications

Well-posed, Ill-posed, and Intermediate Problems with Applications (Inverse & Ill-posed Problems) (Hardcover) by Yu.P. Petrov (Author), V.S. Sizikov (Author) No customer reviews yet. Be the first. -------------------------------------------------------------------------------- RRP: £126.00 Price: £119.70 & this item Delivered FREE in the UK with Super Saver Delivery. See details and conditions You Save: £6.30 (5%) o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o In stock. Dispatched from and sold by Amazon.co.uk. Gift-wrap available. Only 1 left in stock--order soon (more on the way). Want guaranteed delivery by Tuesday, October 6? Order it in the next 6 hours and 47 minutes, and choose Express delivery at checkout. See Details 6 new from £113.44 3 used from £136.82

偏微分方程(台湾出版)

ISBN-13： 9789574835096 ISBN-10： 957483509X 書名： 高等工程數學 第4版 作者： 莊紹容、楊精松 定價： NT 850 出版商： 東華書局 版次： 4 年份： 2008 一、本書全一冊，含微分方程式、拉普拉斯變換、線性代數、向量分析、傅立葉級數、傅立葉變換、複變函數、偏微分方程式(此章與本書各節習題答案置於本書光碟中)，適合作為大學工學院或四年制技術學院工程數學每週三小時，共計一學年講授之用。 二、本書對於電機系或電子系在電路學及自動控制方面所需用到的數學部分，如矩陣的特徵值、矩陣微分方程式、eAt的計算，均有詳細討論。有關工學院其他系所用到工程數學部分，本書亦有所討論。有關工學院其他系所用到工程數學部分，本書亦有所討論。 三、作者對於工程數學教學皆有豐富的教學經驗，特將教學心得作有系統的整理，內容力求簡，條理分明，循序漸近；並以代表性的例題、習題相互配合，俾使學習者能加深觀念、觸類旁通，以收事半功倍之效。 四、本書另備有全部習題詳解，提供教師參考。 这仅是其中的第十三章

Guide to LaTeX (4th Edition) (Tools and Techniques for Computer Typesetting)

作者: Helmut Kopka / Patrick W. Daly ISBN: 9780321173850 页数: 624 定价: $59.99 出版社: Addison-Wesley 出版年: 2003-12-05 简介 · · · · · · 　　LaTeX is the text-preparation system of choice for scientists and academics, and is especially useful for typesetting technical materials. This popular book shows you how to begin using LaTeX to create high-quality documents. The book also serves as a handy reference for all LaTeX users. In this completely revised edition, the authors cover the LaTeX2ε standard and offer more d...　　LaTeX is the text-preparation system of choice for scientists and academics, and is especially useful for typesetting technical materials. This popular book shows you how to begin using LaTeX to create high-quality documents. The book also serves as a handy reference for all LaTeX users. In this completely revised edition, the authors cover the LaTeX2ε standard and offer more details, examples, exercises, tips, and tricks. They go beyond the core installation to describe the key contributed packages that have become essential to LaTeX processing. 　　Inside, you will find: 　　* Complete coverage of LaTeX fundamentals, including how to input text, symbols, and mathematics; how to produce lists and tables; how to include graphics and color; and how to organize and customize documents 　　* Discussion of more advanced concepts such as bibliographical databases and BIBTeX, math extensions with AMS-LaTeX, drawing, slides, and letters 　　* Helpful appendices on installation, error messages, creating packages, using LaTeX with HTML and XML, and fonts 　　* An extensive alphabetized listing of commands and their uses 　　New to this edition: 　　* More emphasis on LaTeX as a markup language that separates content and form--consistent with the essence of XML 　　* Detailed discussions of contributed packages alongside relevant standard topics 　　* In-depth information on PDF output, including extensive coverage of how to use the hyperref package to create links, bookmarks, and active buttons 　　As did the three best-selling editions that preceded it, Guide to LaTeX, Fourth Edition, will prove indispensable to anyone wishing to gain the benefits of LaTeX. 　　The accompanying CD-ROM is part of the TeX Live set distributed by TeX Users Groups, containing a full LaTeX installation for Windows, MacOSX, and Linux, as well as many extensions, including those discussed in the book.　　 作者简介 · · · · · · 　　Helmut Kopka was previously a scientific staff member at the Max-Planck-Institut für Aeronomie in Germany. He was involved in writing one of the first TeX drivers for HP LaserJet and subsequently introduced TeX and LaTeX into his institute, where it has become the standard text-processing system for scientific publications. 　　Patrick W. Daly is a scientific staff member at the Max-Planck-Institut für Aeronomie in Germany. He has written formatting styles for several scientific journals and is the author of the natbib package for flexible bibliographic citations and of the custom-bib system for customizing bibliographic styles for use with BibTeX. 本论坛提供网页购买价： Guide to LaTeX, Fourth Edition 原版进口（预订） Pearson / 2003-11-25 / Kopka, Helmut/ Daly, Patrick W. / 827.47 元 ISBN：0321173856 何处购买： 去DearBook购买(￥827.47) 本人提供超好的pdf格式分享