Sciweavers

WADS
2007
Springer

Alpha-Beta Witness Complexes

13 years 9 months ago
Alpha-Beta Witness Complexes
Building on the work of Martinetz, Schulten and de Silva, Carlsson, we introduce a 2-parameter family of witness complexes and algorithms for constructing them. This family can be used to determine the gross topology of point cloud data in Rd or other metric spaces. The 2-parameter family is sensitive to differences in sampling density and thus amenable to detecting patterns within the data set. It also lends itself to theoretical analysis. For example, we can prove that in the limit, when the witnesses cover the entire domain, witness complexes in the family that share the first, scale parameter have the same homotopy type.
Dominique Attali, Herbert Edelsbrunner, John Harer
Added 09 Jun 2010
Updated 09 Jun 2010
Type Conference
Year 2007
Where WADS
Authors Dominique Attali, Herbert Edelsbrunner, John Harer, Yuriy Mileyko
Comments (0)