Detecting critical regions in multidimensional data sets

作者：Allili Madjid; Corriveau David; Deriviere Sara; Ethier Marc; Kaczynski Tomasz^*

来源：Computers & Mathematics with Applications, 2011, 61(2): 499-512.

DOI：10.1016/j.camwa.2010.11.029

• Scalar fields
• Critical regions
• Data exploration
• Homology
• Conley index theory
• Morse theory

We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups makes this method consistent and successful in all dimensions and allows us to generalize visual classification techniques based solely on the notion of connectedness which may fail in higher dimensions.

• 出版日期2011-1