Name
Title | ||
|---|---|---|
Invariant representative cocycles of cohomology generators using irregular graph pyramids |
Abstract | ||
|---|---|---|
Structural pattern recognition describes and classifies data based on the relationships of features and parts. Topological invariants, like the Euler number, characterize the structure of objects of any dimension. Cohomology can provide more refined algebraic invariants to a topological space than does homology. It assigns 'quantities' to the chains used in homology to characterize holes of any dimension. Graph pyramids can be used to describe subdivisions of the same object at multiple levels of detail. This paper presents cohomology in the context of structural pattern recognition and introduces an algorithm to efficiently compute representative cocycles (the basic elements of cohomology) in 2D using a graph pyramid. An extension to obtain scanning and rotation invariant cocycles is given. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cviu.2010.12.009 | Computer Vision and Image Understanding |
Keywords | DocType | Volume |
topological space,graph pyramid,structural pattern recognition,invariant representative cocycles,refined algebraic invariants,rotation invariant cocycles,topological invariants,irregular graph pyramid,cohomology generator,representative cocycles,euler number,multiple level,graph pyramids,representative cocycles of cohomology generators,basic element,pattern recognition,level of detail | Journal | 115 |
Issue | ISSN | Citations |
7 | Computer Vision and Image Understanding | 5 |
PageRank | References | Authors |
0.52 | 15 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| rocio gonzalezdiaz | 1 | 126 | 17.14 |
| Adrian Ion | 2 | 222 | 21.11 |
| Mabel Iglesias Ham | 3 | 22 | 4.91 |
| Walter G. Kropatsch | 4 | 896 | 152.91 |