| 书目名称 | Computational Proximity | | 副标题 | Excursions in the To | | 编辑 | James F. Peters | | 视频video | | | 概述 | Introduces descriptive proximity spaces and the generation of set patterns in proximity spaces, leading to new forms of topological spaces and new forms of algebraic structures such as near groups use | | 丛书名称 | Intelligent Systems Reference Library | | 图书封面 |  | | 描述 | .This book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological | | 出版日期 | Book 2016 | | 关键词 | Description; Descriptive Proximity Spaces Dense; Finite; Framework; Infinite; Intelligent Systems; Near Se | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-30262-1 | | isbn_softcover | 978-3-319-80764-5 | | isbn_ebook | 978-3-319-30262-1Series ISSN 1868-4394 Series E-ISSN 1868-4408 | | issn_series | 1868-4394 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:57:09
