书目名称 | Geometric Methods and Applications | 副标题 | For Computer Science | 编辑 | Jean Gallier | 视频video | | 概述 | More examples and references added.Chapters have been expanded.Offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups | 丛书名称 | Texts in Applied Mathematics | 图书封面 |  | 描述 | .This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. . This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics.. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. . The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience incl | 出版日期 | Textbook 2011Latest edition | 关键词 | Affine Geometry; Convex Optimization; Euclidean Geometry; Projective geometry | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4419-9961-0 | isbn_softcover | 978-1-4614-2824-4 | isbn_ebook | 978-1-4419-9961-0Series ISSN 0939-2475 Series E-ISSN 2196-9949 | issn_series | 0939-2475 | copyright | Springer Science+Business Media, LLC 2011 |
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