[PDF] Discrete and Computational Geometry - Semantic ScholarThis content was uploaded by our users and we assume good faith they have the permission to share this book. If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content from our site. Start by pressing the button below! Includes index. ISBN hardcover : alk. Geometry—Data processing. D38D48
Introduction to Persistent Homology
While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date.
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One of the goals of this conference series is to bring together Japanese researchers from both academia and industry with researchers in these fields Springer, It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital The focus is on algorithms and hence the book is well suited for students in computer science and engineering.
Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms , and such problems are also considered to be part of computational geometry. While modern computational geometry is a recent development, it is one of the oldest fields of computing with history stretching back to antiquity. Computational complexity is central to computational geometry, with great practical significance if algorithms are used on very large datasets containing tens or hundreds of millions of points. For such sets, the difference between O n 2 and O n log n may be the difference between days and seconds of computation. Other important applications of computational geometry include robotics motion planning and visibility problems , geographic information systems GIS geometrical location and search, route planning , integrated circuit design IC geometry design and verification , computer-aided engineering CAE mesh generation , computer vision 3D reconstruction.
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