de.mpg.escidoc.pubman.appbase.FacesBean
Deutsch
 
Hilfe Wegweiser Impressum Kontakt Einloggen
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Forschungspapier

Homotopy Equivalence Between Voronoi Medusa and Delaunay Medusa

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons180849

Pritam,  Siddharth
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons44759

Kerber,  Michael
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Externe Ressourcen
Es sind keine Externen Ressourcen verfügbar
Volltexte (frei zugänglich)

arXiv:1604.03302.pdf
(Preprint), 3KB

Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Pritam, S., & Kerber, M. (2016). Homotopy Equivalence Between Voronoi Medusa and Delaunay Medusa. Retrieved from http://arxiv.org/abs/1604.03302.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-002B-0293-3
Zusammenfassung
We trace movements of certain points in space-time along their corresponding continuous path. We partition the space at every moment of time using alpha-Complexes, Voronoi medusa is then the collection or union of restricted Voronoi cells at every moment in time. We can imagine them as a four dimensional structure formed when three dimensional restricted Voronoi cells sweeps continuously through the extra dimension of time. Similarly Delaunay medusa is the collection of the corresponding Delaunay triangulations at each moment in time. In this article we prove that these two structures are homotopic.