Academic Journal
Collapses and watersheds in pseudomanifolds of arbitrary dimension
| العنوان: | Collapses and watersheds in pseudomanifolds of arbitrary dimension |
|---|---|
| المؤلفون: | Jean Cousty, Gilles Bertrand, Michel Couprie, Laurent Najman |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://hal-enpc.archives-ouvertes.fr/docs/00/93/38/74/PDF/SimplicialWatershed.pdf. |
| سنة النشر: | 2014 |
| المجموعة: | CiteSeerX |
| الوصف: | This work is settled in the framework of abstract simplicial complexes. We propose a definition of a watershed and of a collapse (i.e., a homotopic retraction) for maps defined on pseudomanifolds of arbitrary dimension. Then, we establish two important results linking watersheds and homotopy. The first one generalizes a property known for distance transforms in a continuous setting to any map on pseudomanifolds: a watershed of any map is a subset of an ultimate collapse of the support of this map. The second result establishes, through an equivalence theorem, a deep link between watershed and collapse of maps: any watershed of any map can be straightforwardly obtained from an ultimate collapse of this map, and conversely any ultimate collapse of the initial map straightforwardly induces a watershed. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.634.9617; http://hal-enpc.archives-ouvertes.fr/docs/00/93/38/74/PDF/SimplicialWatershed.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.634.9617 http://hal-enpc.archives-ouvertes.fr/docs/00/93/38/74/PDF/SimplicialWatershed.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.3DA82E30 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |