Symmetry in Optics and Vision Studies: A Data-Analytic Approach
暫譯: 光學與視覺研究中的對稱性：數據分析方法
Viana, Marlos A. G., Lakshminarayanan, Vasudevan
商品描述
This book presents an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical sciences. Symmetry studies connect group theoretic and statistical methods for data summary and inference. Readers should have an understanding of calculus and linear algebra as well as introductory statistics. The book reviews finite group theory in the introductory chapters. Computational tools used in the text are available for download in the form of Mathmaticaâ notebooks or R scripts. This book:
- Demonstrates the usefulness of a unified view of algebra and symmetry studies to address data-analytic questions in optics and vision science
- Offers a brief review of finite group theory and elements of multivariate analysis
- Includes various examples from diverse areas of optical science
商品描述(中文翻譯)
本書介紹了對稱研究的基礎、詮釋及數據分析應用，特別強調在光學科學中的應用。對稱研究將群論和統計方法連結起來，以進行數據摘要和推斷。讀者應具備微積分、線性代數及初級統計的基礎知識。本書在前幾章回顧了有限群論。書中使用的計算工具可下載為 Mathematica 筆記本或 R 腳本。本書的內容包括：
- 展示代數與對稱研究的統一觀點在光學和視覺科學中的數據分析問題上的實用性
- 提供有限群論和多變量分析元素的簡要回顧
- 包含來自光學科學各個領域的多個範例
作者簡介
Marlos Viana, Ph.D., served on the faculty of the University of Illinois at Chicago for nearly 30 years, where he worked in the area of applications of algebraic methods to the analysis and interpretation of data associated with symmetry conditions, with particular emphasis in linear optics, corneal topography, polarimetry, molecular chirality, decompositions of entropy, and short symbolic sequences. Professor Viana has advised, taught, and collaborated with students at all graduate and undergraduate levels in a variety of theoretical and applied fields since 1978 when he first joined the faculty of the Federal University at Rio de Janeiro, Brazil. His research also includes the development of methods for combined statistical inference, the assessment of screening tests and instrumentation, the covariance structures of dependent order statistics, and in applications of Bayesian inference. Professor Viana is a member of several editorial boards and the co-editor of Volumes 287 and 516 of the American Mathematical Society's Contemporary Mathematics series.
Vasudevan Lakshminarayanan is a professor of vision science, physics, electrical and computer engineering, and systems design engineering at the University of Waterloo. He was a KITP Scholar at the Kavli Institute for Theoretical Physics at UC Santa Barbara, and has held research, teaching and visiting professorship positions at UC Irvine, UC Berkeley, University of Michigan, the University of Missouri, Indian Institute of Technology, Delhi, Universita degli Studii di Brescia, among others. He is a founder of the UNESCO Active Learning in Optics and Photonics program and serves on optics advisory board of the International Center for Theoretical Physics (Trieste, Italy). He is a consultant to the ophthalmic medical devices group of the US FDA (Food and Drug Administration) and is a Fellow of the APS, AAAS, OSA, SPIE, Institute of Physics (United Kingdom), Optical Society of India, among others. He has published over 300 articles in areas ranging from optical physics and engineering, image and signal processing, cognitive neuroscience, quantum physics, ophthalmology, optometry, biomedical engineering, history of science as well as science policy. He is the coauthor/coeditor of 22 books. His numerous awards include the SPIE Optics Educator award (2011) and the Esther Hoffman Beller medal of OSA (2013).
作者簡介(中文翻譯)
Marlos Viana 博士在伊利諾伊大學芝加哥分校任教近 30 年，專注於代數方法在與對稱條件相關的數據分析和解釋中的應用，特別強調線性光學、角膜地形學、偏振測量、分子手性、熵的分解以及短符號序列。自 1978 年首次加入巴西里約熱內盧聯邦大學的教職以來，Viana 教授指導、教學並與各級研究生和本科生在多個理論和應用領域進行合作。他的研究還包括結合統計推斷的方法開發、篩檢測試和儀器的評估、依賴順序統計的協方差結構，以及貝葉斯推斷的應用。Viana 教授是幾個編輯委員會的成員，並擔任美國數學學會《當代數學》系列第 287 卷和第 516 卷的共同編輯。
Vasudevan Lakshminarayanan 是滑鐵盧大學的視覺科學、物理學、電氣與計算機工程以及系統設計工程的教授。他曾是加州大學聖巴巴拉分校卡夫利理論物理研究所的 KITP 學者，並在加州大學爾灣分校、加州大學伯克利分校、密西根大學、密蘇里大學、德里印度理工學院、布雷西亞大學等地擔任研究、教學和訪問教授。他是聯合國教科文組織光學與光子學主動學習計劃的創始人，並在國際理論物理中心（意大利的的里雅斯特）的光學諮詢委員會任職。他還是美國食品藥品監督管理局（FDA）眼科醫療設備小組的顧問，並是美國物理學會（APS）、美國科學促進會（AAAS）、光學學會（OSA）、國際光學工程學會（SPIE）、英國物理學會及印度光學學會等的會士。他在光學物理與工程、影像與信號處理、認知神經科學、量子物理、眼科、視光學、生物醫學工程、科學史及科學政策等領域發表了超過 300 篇文章。他是 22 本書的共同作者/共同編輯。他獲得的眾多獎項包括 SPIE 光學教育者獎（2011 年）和 OSA 的 Esther Hoffman Beller 獎章（2013 年）。
