Stability of Topological Persistence for Domains
Abstract
Scalar functions defined on a topological space omega are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence is an approach to characterizing these functions. It measures how long topological structures in the level sets {x epsilon omega: f(x) =c} persist as changes. Recently it was shown that the critical values defining a topological structure with relatively large persistence remain almost unaffected by small perturbations. This result suggests that topological persistence is a good measure for matching and comparing scalar functions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2006
- Accession Number
- AD1001135
Entities
People
- Rephael Wenger
- Tamal K. Dey
Organizations
- Ohio State University