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Reference TypeConference Proceedings
Identifier8JMKD3MGPBW34M/3A369CB
Repositorysid.inpe.br/sibgrapi/2011/07.07.18.15
Metadatasid.inpe.br/sibgrapi/2011/07.07.18.15.05
Sitesibgrapi.sid.inpe.br
Citation KeyGüntherReinWagnHotz:2011:MeCoPe
Author1 Günther, David
2 Reininghaus, Jan
3 Wagner, Hubert
4 Hotz, Ingrid
Affiliation1 Zuse Institute Berlin
2 Zuse Institute Berlin
3 Institute of Computer Science, Jagiellonian University
4 Zuse Institute Berlin
TitleMemory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory
Conference NameConference on Graphics, Patterns and Images, 24 (SIBGRAPI)
Year2011
EditorLewiner, Thomas
Torres, Ricardo
Book TitleProceedings
DateAug. 28 - 31, 2011
Publisher CityLos Alamitos
PublisherIEEE Computer Society Conference Publishing Services
Conference LocationMaceió
Keywordspersistent homology, Morse-Smale complex, discrete Morse theory, large data.
AbstractWe propose a memory-efficient method that com- putes persistent homology for 3D gray-scale images. The basic idea is to compute the persistence of the induced Morse-Smale complex. Since in practice this complex is much smaller than the input data, significantly less memory is required for the subsequent computations. We propose a novel algorithm that efficiently extracts the Morse-Smale complex based on algorithms from discrete Morse theory. The proposed algorithm is thereby optimal with a computational complexity of O(n2). The per- sistence is then computed using the Morse-Smale complex by applying an existing algorithm with a good practical running time. We demonstrate that our method allows for the computation of persistent homology for large data on commodity hardware.
Languageen
Tertiary TypeFull Paper
FormatDVD, On-line.
Size3387 KiB
Number of Files1
Target FilepersistenceLargeData.pdf
Last Update2011:07.07.18.15.05 sid.inpe.br/banon/2001/03.30.15.38 david.guenther@zib.de
Metadata Last Update2011:07.23.15.36.12 sid.inpe.br/banon/2001/03.30.15.38 david.guenther@zib.de {D 2011}
Document Stagecompleted
Is the master or a copy?is the master
Mirrorsid.inpe.br/banon/2001/03.30.15.38.24
e-Mail Addressdavid.guenther@zib.de
User Groupdavid.guenther@zib.de
Visibilityshown
Transferable1
Host Collectionsid.inpe.br/banon/2001/03.30.15.38
Content TypeExternal Contribution
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History2011-07-23 15:36:12 :: david.guenther@zib.de -> :: 2011
Empty Fieldsaccessionnumber archivingpolicy archivist area callnumber copyholder copyright creatorhistory descriptionlevel dissemination documentstage doi edition electronicmailaddress group holdercode isbn issn label lineage mark nextedition nexthigherunit notes numberofvolumes orcid organization pages parameterlist parentrepositories previousedition previouslowerunit progress project readergroup readpermission resumeid rightsholder secondarydate secondarykey secondarymark secondarytype serieseditor session shorttitle sponsor subject tertiarymark type url versiontype volume
Access Date2019, Dec. 07

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