Name
Abstract | ||
|---|---|---|
Starting from an nDgeometrical object, a cellular subdivision of such an object provides an algebraic counterpart from which homology information can be computed. In this paper, we develop a process to drastically reduce the amount of data that represent the original object, with the purpose of a subsequent homology computation. The technique applied is based on the construction of a sequence of elementary chain homotopies (integral operators) which algebraically connect the initial object with a simplified one with the same homological information than the former. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-85920-8_44 | CIARP |
Keywords | Field | DocType |
computing homology generators,algebraic counterpart,homological information,initial object,homology information,integral operator,original object,integral operators,subsequent homology computation,ndgeometrical object,elementary chain homotopies,cellular subdivision,algebraic connectivity | Discrete mathematics,Algebraic number,Initial and terminal objects,Pattern recognition,Algebra,Computer science,Subdivision,Relative homology,Cellular homology,Artificial intelligence,Operator (computer programming),Computation | Conference |
Volume | ISSN | Citations |
5197 | 0302-9743 | 18 |
PageRank | References | Authors |
1.07 | 8 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| rocio gonzalezdiaz | 1 | 126 | 17.14 |
| maria jose jimenez | 2 | 62 | 3.41 |
| belen medrano | 3 | 92 | 6.68 |
| Helena Molina-Abril | 4 | 82 | 10.87 |
| Pedro Real | 5 | 267 | 35.40 |