Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision
暫譯: 計算機視覺與影像中的數學模型與演算法手冊：數學影像與視覺
Chen, Ke, Schönlieb, Carola-Bibiane, Tai, Xue-Cheng
- 出版商: Springer
- 出版日期: 2023-02-20
- 售價: $33,790
- 貴賓價: 9.5 折 $32,101
- 語言: 英文
- 頁數: 1900
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030986608
- ISBN-13: 9783030986605
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相關分類:
Algorithms-data-structures、Computer Vision
海外代購書籍(需單獨結帳)
商品描述
This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision.
Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.
商品描述(中文翻譯)
這本手冊匯集了影像與視覺領域的最新數學模型和演算法。其重點在於嚴謹的數學方法，這些方法代表了一類影像與視覺問題的最佳解決方案，以及有效的演算法，這些演算法對於將這些方法轉化為各種應用中的實際使用是必要的。將離散影像視為從功能表面取樣的數據，使得可以使用微積分、函數及變分法和非線性優化的先進工具，並通過幾何和變分模型提供高解析度影像的基礎。此外，優化自然地將傳統的模型驅動方法與新興的數據驅動方法（如機器學習和深度學習）聯繫起來。沒有其他框架能提供與影像和視覺相媲美的準確性和精確性。
本手冊由影像與視覺領域的領先研究者撰寫，各章節均以簡單的介紹開始，使這部作品對研究生易於理解。對於該領域的新手，本書提供了全面且快速的內容介紹，以節省時間並著手解決新的挑戰。對於研究人員，接觸到最新的研究成果能夠提供整個領域的全貌，從而指導新的研究方向，並避免在推進該領域時的陷阱，展望未來幾十年的影像與信息服務。這部作品對於影像與視覺領域的研究生、研究人員和從業者；應用數學家；醫學影像學家；工程師；以及計算機科學家都有很大的幫助。
作者簡介
Carola-Bibiane Schönlieb is Professor of Applied Mathematics at the University of Cambridge. There, she is head of the Cambridge Image Analysis group and co-Director of the EPSRC Cambridge Mathematics of Information in Healthcare Hub. Since 2011 she is a fellow of Jesus College Cambridge and since 2016 a fellow of the Alan Turing Institute, London. She also holds the Chair of the Committee for Applications and Interdisciplinary Relations (CAIR) of the EMS. Her current research interests focus on variational methods, partial differential equations and machine learning for image analysis, image processing and inverse imaging problems. She has active interdisciplinary collaborations with clinicians, biologists and physicists on biomedical imaging topics, chemical engineers and plant scientists on image sensing, as well as collaborations with artists and art conservators on digital art restoration.
Her research has been acknowledged by scientific prizes, among them the LMS Whitehead Prize 2016, the Philip Leverhulme Prize in 2017, the Calderon Prize 2019, a Royal Society Wolfson fellowship in 2020, a doctorate honoris causa from the University of Klagenfurt in 2022, and by invitations to give plenary lectures at several renowned applied mathematics conferences, among them the SIAM conference on Imaging Science in 2014, the SIAM conference on Partial Differential Equations in 2015, the SIAM annual meeting in 2017, the Applied Inverse Problems Conference in 2019, the FOCM 2020 and the GAMM 2021.
Carola graduated from the Institute for Mathematics, University of Salzburg (Austria) in 2004. From 2004 to 2005 she held a teaching position in Salzburg. She received her PhD degree from the University of Cambridge (UK) in 2009. After one year of postdoctoral activity at the University of Göttingen (Germany), she became a Lecturer at Cambridge in 2010, promoted to Reader in 2015 and promoted to Professor in 2018.Prof. Xue-Cheng Tai is a Chief Research Scientist and Executive Program Director at Hong Kong Center for Cerebro-cardiovascular Health Engineering (COCHE), Hong Kong Science Park. He was a Professor and Head at the Department of Mathematics at Hong Kong Baptist University (China) since 2017. Before 2017, hr served as Professor at the Department of Mathematics at Bergen University (Norway). His research interests include Numerical PDEs, optimization techniques, inverse problems and image processing. He has done significant research work his research areas and published over 250 top quality international conference and journal papers. He is the winner of the 8th Feng Kang Prize for scientific computing. He served as organizing and program committee members for a number of international conferences and has been often invited for international conferences. He has served as referee and reviewers for many premier conferences and journals.
Prof. Laurent Younes is a professor in the Department Applied Mathematics and Statistics, Johns Hopkins University (USA), that he joined in 2003, after ten years as a researcher for the CNRS in France. He is a former student of the Ecole Normale Supérieure (Paris) and of the University of Paris 11 from which he received his Ph.D. in 1988. His work includes contributions to applied probability, statistics, graphical models, shape analysis and computational medicine. He is a fellow of the IMS and of the AMS.
作者簡介(中文翻譯)
陳克於大連理工大學（中國）、曼徹斯特大學（英國）和普利茅斯大學（英國）分別獲得應用數學的學士、碩士和博士學位。陳博士是一位計算數學家，專注於為各種科學計算（特別是影像）應用開發新穎且快速的數值演算法。自2007年以來，他一直擔任數學影像技術多學科研究中心（CMIT）的主任，並自2015年以來擔任英國工程與自然科學研究委員會利物浦醫療數學中心（LCMH）的主任。他領導著一個大型的計算影像團隊，專注於對現實影像的創新分析。他的團隊在變分建模和演算法開發方面的影像工作大多是跨學科的，強烈受到新興現實問題及其挑戰的驅動：影像修復、影像填補、斷層成像、影像分割和配準。
卡羅拉-比比安娜·肖恩利布是劍橋大學應用數學的教授。在那裡，她是劍橋影像分析小組的負責人，也是英國工程與自然科學研究委員會劍橋醫療信息數學中心的共同主任。自2011年以來，她是劍橋耶穌學院的研究員，自2016年以來是倫敦艾倫·圖靈研究所的研究員。她還擔任歐洲數學學會應用與跨學科關係委員會（CAIR）的主席。她目前的研究興趣集中在變分方法、偏微分方程和機器學習在影像分析、影像處理和反向影像問題中的應用。她與臨床醫生、生物學家和物理學家在生物醫學影像主題上有積極的跨學科合作，與化學工程師和植物科學家在影像感測方面的合作，以及與藝術家和藝術保護者在數位藝術修復方面的合作。
她的研究獲得了科學獎項的認可，其中包括2016年的LMS懷特海德獎、2017年的菲利普·利維赫姆獎、2019年的卡爾德隆獎、2020年的皇家學會沃爾夫森獎學金、2022年克拉根福大學的榮譽博士學位，以及受邀在幾個著名的應用數學會議上進行全體講座，其中包括2014年的SIAM影像科學會議、2015年的SIAM偏微分方程會議、2017年的SIAM年會、2019年的應用反向問題會議、2020年的FOCM和2021年的GAMM。
卡羅拉於2004年畢業於薩爾茨堡大學數學研究所（奧地利）。從2004年到2005年，她在薩爾茨堡擔任教學職位。她於2009年獲得劍橋大學（英國）的博士學位。在哥廷根大學（德國）進行了一年的博士後研究後，她於2010年成為劍橋的講師，於2015年晉升為讀者，並於2018年晉升為教授。泰學誠教授是香港腦心血管健康工程中心（COCHE）的首席研究科學家和執行計畫主任，位於香港科學園。他自2017年以來擔任香港浸會大學數學系的教授和系主任。在2017年之前，他曾擔任挪威卑爾根大學數學系的教授。他的研究興趣包括數值偏微分方程、優化技術、反向問題和影像處理。他在這些研究領域做了重要的研究工作，並發表了超過250篇高品質的國際會議和期刊論文。他是第八屆馮康獎的獲得者，該獎項專注於科學計算。他曾擔任多個國際會議的組織和程序委員會成員，並經常受邀參加國際會議。他還擔任許多頂尖會議和期刊的審稿人。
洛朗·尤內斯教授是約翰霍普金斯大學（美國）應用數學與統計系的教授，自2003年以來加入該校，此前他在法國國家科學研究中心（CNRS）擔任研究員十年。他是巴黎高等師範學校和巴黎第11大學的前學生，並於1988年獲得博士學位。他的工作包括對應用概率、統計、圖形模型、形狀分析和計算醫學的貢獻。他是國際數學學會（IMS）和美國數學學會（AMS）的會士。
