5 search results - page 1 / 1 » Uniqueness of models in persistent homology: the case of cur... |
CORR
2010
Springer
13 years 2 months ago
2010
Springer
We consider generic curves in R2 , i.e. generic C1 functions f : S1 R2 . We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In parti...
VISUALIZATION
2005
IEEE
13 years 11 months ago
2005
IEEE
Topological concepts and techniques have been broadly applied in computer graphics and geometric modeling. However, the homotopy type of a mapping between two surfaces has not bee...
BMCBI
2008
13 years 5 months ago
2008
Background: Understanding how proteins fold is essential to our quest in discovering how life works at the molecular level. Current computation power enables researchers to produc...
COMPGEOM
2003
ACM
13 years 10 months ago
2003
ACM
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
SMA
2003
ACM
13 years 10 months ago
2003
ACM
Dimensional reduction is a simplification technique that eliminates one or more dimensions from a boundary value problem. It results in significant computational savings with mini...