"ISC4221C-01: 计算几何算法讲义 - 现代科学应用中的实用算法"

"Geometry Algorithms" is a comprehensive resource that covers various algorithms and techniques used in computational geometry. The document provides an overview of different topics, including points on a line, estimating integrals over an interval, triangles and their properties, triangulating a polygon, the convex hull, and triangulating a point set by Delaunay. The author, John Burkardt, a faculty member at the Department of Scientific Computing at Florida State University, presented this material in the Spring Semester of 2011 as part of the course ISC4221C-01: Algorithms for Science Applications II. Throughout the document, Burkardt delves into the intricacies of geometry algorithms, providing detailed explanations and examples to aid in understanding and implementation. One of the key concepts discussed in the document is the Convex Hull, which is a fundamental algorithm used in computational geometry for finding the smallest convex polygon that encloses a set of points. Burkardt also explores triangulation techniques, such as triangulating a polygon and triangulating a point set by Delaunay, which are essential for various applications in computer graphics, geographical information systems, and computational physics. Overall, "Geometry Algorithms" serves as a valuable resource for students, researchers, and practitioners in the field of computational geometry. The document offers a comprehensive overview of key algorithms and techniques, presented in a clear and concise manner. By delving into topics such as convex hulls, triangulation, and estimating integrals, the document equips readers with the knowledge and tools necessary to tackle complex geometric problems effectively.