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持久同源性

Persistent Homology
课程网址: http://videolectures.net/computationaltopology2013_bauer_homology...  
主讲教师: Ulrich Bauer
开课单位: 奥地利科学技术研究所
开课时间: 2013-11-04
课程语种: 英语
课程简介:
Persistent homology is an algebraic tool for measuring topological features of shapes and functions. Given a filtration of a topological space (a nested sequence of subspaces), it determines the lifespan of homological features (connected components, tunnels, voids) within the filtration.The course will cover the fundamental ideas of persistent homology, fundamental results such as the stability of persistence diagrams, and motivating applications such as homology inference of shapes from point clouds and topological simplification of scalar functions.
关 键 词: 持久同源性; 函数; 代数工具
课程来源: 视频讲座网
数据采集: 2020-10-09：zyk
阅读次数: 51

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