89 search results - page 3 / 18 » Topological Persistence and Simplification |
ISAAC
2009
Springer
14 years 24 days ago
2009
Springer
Abstract. The theory of multidimensional persistence captures the topology of a multifiltration – a multiparameter family of increasing spaces. Multifiltrations arise naturally...
ICIP
2001
IEEE
14 years 7 months ago
2001
IEEE
This paper presents a morphological scale-space approach to the problem of feature extraction. The method relies on two steps: a hierarchical simplification step based on pyramids...
CAIP
2007
Springer
13 years 10 months ago
2007
Springer
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...
CORR
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
CORR
2011
Springer
12 years 10 months ago
2011
Springer
Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...