Topological Data Analysis: Data mining, Computer Vision, Simplicial Complex, Betti Number, Computer Graphics, Statistics, Dimension Reduction, ... Digital Morse Theory, Shape Analysis - Couverture souple

 
9786130333393: Topological Data Analysis: Data mining, Computer Vision, Simplicial Complex, Betti Number, Computer Graphics, Statistics, Dimension Reduction, ... Digital Morse Theory, Shape Analysis

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Topological data analysis is a new area of study aimed at having applications in areas such as data mining and computer vision. The human brain can easily extract global structure from representations in a strictly lower dimension, i.e. we infer a 3D environment from a 2D image from each eye. The inference of global structure also occurs when converting discrete data into continuous images. E.g. dot-matrix printers and televisions communicate images via arrays of discrete points.

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