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» Stability of Critical Points with Interval Persistence
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DCG
2007
77views more  DCG 2007»
13 years 4 months ago
Stability of Critical Points with Interval Persistence
Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...
Tamal K. Dey, Rephael Wenger
CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 4 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
COMPGEOM
2006
ACM
13 years 10 months ago
Vines and vineyards by updating persistence in linear time
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...
ISPASS
2008
IEEE
13 years 11 months ago
Program Phase Detection based on Critical Basic Block Transitions
Many programs go through phases as they execute. Knowing where these phases begin and end can be beneficial. For example, adaptive architectures can exploit such information to lo...
Paruj Ratanaworabhan, Martin Burtscher
LWA
2007
13 years 6 months ago
Retrieval of technical drawings in DXF format - concepts and problems
Nowadays, launching new products in short intervals is a critical factor for success to persist on the global market. At the same time many enterprises call for cost reduction in ...
Nadine Weber, Andreas Henrich