메뉴 건너뛰기




Volumn , Issue , 2011, Pages 207-215

An output-sensitive algorithm for persistent homology

Author keywords

Computational topology; Persistent homology; Randomized algorithms; Rank computation

Indexed keywords

ARBITRARY CONSTANTS; COLUMN OPERATIONS; COMPUTATIONAL TOPOLOGY; MATRIX; MONTE CARLO ALGORITHMS; N-MATRIX; NONZERO ENTRIES; OUTPUT-SENSITIVE ALGORITHM; PERSISTENT HOMOLOGY; RANDOMIZED ALGORITHMS; RANK COMPUTATION; RUNNING TIME; SIMPLICIAL COMPLEX; SUB-MATRICES;

EID: 79960165024     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1998196.1998228     Document Type: Conference Paper
Times cited : (9)

References (32)
  • 5
    • 33750483310 scopus 로고    scopus 로고
    • Retrieval of trademark images by means of size functions
    • DOI 10.1016/j.gmod.2006.07.001, PII S1524070306000592
    • A. Cerri, M. Ferri, D. Giorgi: "Retrieval of trademark images by means of size functions". Graphical Models 68 (2006) 451-471. Special Issue on the Vision, Video and Graphics Conference 2005. (Pubitemid 44648828)
    • (2006) Graphical Models , vol.68 , Issue.5-6 , pp. 451-471
    • Cerri, A.1    Ferri, M.2    Giorgi, D.3
  • 8
    • 70349315259 scopus 로고    scopus 로고
    • Persistence diagrams of cortical surface data
    • J. Prince, D. Pham, K. Myers (eds.) Information Processing in Medical Imaging
    • M. Chung, P. Bubenik, P. Kim: "Persistence Diagrams of Cortical Surface Data". In: J. Prince, D. Pham, K. Myers (eds.) Information Processing in Medical Imaging, LNCS, vol. 5636, 386-397, 2009.
    • (2009) LNCS , vol.5636 , pp. 386-397
    • Chung, M.1    Bubenik, P.2    Kim, P.3
  • 11
    • 33748048165 scopus 로고    scopus 로고
    • Vines and vineyards by updating persistence in linear time
    • Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06
    • D. Cohen-Steiner, H. Edelsbrunner, D. Morozov: "Vines and vineyards by updating persistence in linear time". In: Proceedings of the twenty-second Annual Symposium on Computational Geometry. SCG '06, 2006 119-126. (Pubitemid 44300779)
    • (2006) Proceedings of the Annual Symposium on Computational Geometry , vol.2006 , pp. 119-126
    • Cohen-Steiner, D.1    Edelsbrunner, H.2    Morozov, D.3
  • 20
    • 0001796902 scopus 로고
    • A generalization of the fast LUP matrix decomposition algorithm and applications
    • O. H. Ibara, S. Moran, R. Hui: "A Generalization of the Fast LUP Matrix Decomposition Algorithm and Applications". Journal of Algorithms 3 (1982) 45-56.
    • (1982) Journal of Algorithms , vol.3 , pp. 45-56
    • Ibara, O.H.1    Moran, S.2    Hui, R.3
  • 23
    • 78149252299 scopus 로고    scopus 로고
    • Persistence algorithm takes cubic time in the worst case
    • Duke Computer Science, Durham, NC
    • D. Morozov: "Persistence Algorithm Takes Cubic Time in the Worst Case". In: BioGeometry News. Duke Computer Science, Durham, NC, 2005.
    • (2005) BioGeometry News
    • Morozov, D.1
  • 25
    • 34250459760 scopus 로고
    • Schnelle Multiplikation grosser Zahlen
    • In German
    • A. Schönhage, V. Strassen: "Schnelle Multiplikation grosser Zahlen". Computing 7 (1971) 281-292. In German.
    • (1971) Computing , vol.7 , pp. 281-292
    • Schönhage, A.1    Strassen, V.2
  • 26
    • 41849094721 scopus 로고    scopus 로고
    • Coverage in sensor networks via persistent homology
    • V. de Silva, R. Ghrist: "Coverage in Sensor Networks via Persistent Homology". Algebraic and Geometric Topology 7 (2007) 339-358.
    • (2007) Algebraic and Geometric Topology , vol.7 , pp. 339-358
    • De Silva, V.1    Ghrist, R.2
  • 31
    • 12944263639 scopus 로고    scopus 로고
    • Computing persistent homology
    • DOI 10.1007/s00454-004-1146-y
    • A. Zomorodian, G. Carlsson: "Computing persistent homology". Discrete and Computational Geometry 33 (2005) 249-274. (Pubitemid 40176437)
    • (2005) Discrete and Computational Geometry , vol.33 , Issue.2 , pp. 249-274
    • Zomorodian, A.1    Carlsson, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.