3D Shape Analysis: Fundamentals, Theory, and Applications

An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications

This book discusses the different topics that come under the title of "3D shape analysis". It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics.

The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends.

3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.

《3D形狀分析：基礎、理論和應用》是一本深入描述3D形狀分析技術及其應用的書籍。

本書討論了涵蓋「3D形狀分析」標題的不同主題。它涵蓋了文獻中提出的理論基礎和主要解決方案。它還建立了不同研究3D形狀的社群（如數學和統計學、醫學影像學、計算機視覺和計算機圖形學）之間的聯繫。

《3D形狀分析：基礎、理論和應用》的第一部分提供了背景概念的回顧，例如3D幾何形狀的獲取和表示方法，以及幾何和拓撲的基礎知識。它具體涵蓋了立體匹配、結構光和形狀的內在與外在特性。第二部分和第三部分介紹了一系列數學和算法工具（用於全局描述符、關鍵點檢測器、局部特徵描述符和算法等），這些工具通常用於檢測、配准、識別、分類和檢索3D物體。兩部分還強調了受到3D獲取通用設備普及影響的最新技術。第四部分展示了這些技術在一系列3D形狀分析應用中的應用。它涵蓋了3D人臉識別、3D場景中的物體識別和3D形狀檢索。它還討論了語義應用和跨領域3D檢索的示例，即如何使用各種類型的模態（例如素描和/或圖像）檢索3D模型。該書以對主要思想的總結和未來趨勢的討論作為結尾。

《3D形狀分析：基礎、理論和應用》是研究生、研究人員和數學、計算機科學和工程等不同領域的專業人士的優秀參考資料。它也非常適合計算機視覺和計算機圖形學課程，以及那些尋求3D工業/商業解決方案的人士。