Polygon Mesh Processing (Hardcover)

Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes.

幾何處理，或稱網格處理，是一個快速發展的研究領域，利用應用數學、計算機科學和工程學的概念，設計高效的算法，用於複雜三維模型的獲取、重建、分析、操作、模擬和傳輸。幾何處理算法的應用已經涵蓋了多個領域，包括多媒體、娛樂、經典的計算機輔助設計、生物醫學計算、逆向工程和科學計算等。近年來，三角網格越來越受歡迎，因為不規則的三角網格已經成為傳統樣條曲面的有價值的替代品。本書討論了基於三角網格的整個幾何處理流程。該流程從數據輸入開始，例如通過3D掃描技術獲取的模型。然後，這些數據可以通過錯誤修復、網格創建、平滑、轉換、變形等過程進行處理。作者詳細介紹了使用三角網格進行這些處理的技術。