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Volumn 0, Issue , 2012, Pages 91-106

Efficient computation of persistent homology for cubical data

Author keywords

[No Author keywords available]

Indexed keywords

PATTERN RECOGNITION;

EID: 84864014622     PISSN: 16123786     EISSN: 2197666X     Source Type: Book Series    
DOI: 10.1007/978-3-642-23175-9_7     Document Type: Conference Paper
Times cited : (90)

References (26)
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    • Carr, H., Snoeyink, J., van de Panne, M.: Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree. Comput. Geom. 43(1), 42-58 (2010)
    • (2010) Comput. Geom , vol.43 , Issue.1 , pp. 42-58
    • Carr, H.1    Snoeyink, J.2    Van De Panne, M.3
  • 8
    • 85035333588 scopus 로고    scopus 로고
    • Computer Assisted Proofs in Dynamics: CAPD Homology Library, http://capd.ii.uj.edu.pl.
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    • 0001696328 scopus 로고
    • Simplizialzerlegungen von beschränkter Flachheit
    • Freudenthal, H.: Simplizialzerlegungen von beschränkter Flachheit. Ann. Math. 43(3), 580-582 (1942)
    • (1942) Ann. Math , vol.43 , Issue.3 , pp. 580-582
    • Freudenthal, H.1
  • 14
    • 35948981802 scopus 로고    scopus 로고
    • Efficient computation of morse-smale complexes for three-dimensional scalar functions
    • Gyulassy, A., Natarajan, V., Pascucci, V., Hamann, B.: Efficient computation of morse-smale complexes for three-dimensional scalar functions. IEEE Trans. Vis. Comput. Graph. 13(6), 1440-1447 (2007)
    • (2007) IEEE Trans. Vis. Comput. Graph , vol.13 , Issue.6 , pp. 1440-1447
    • Gyulassy, A.1    Natarajan, V.2    Pascucci, V.3    Hamann, B.4
  • 17
    • 0000288208 scopus 로고
    • The number of circles covering a set
    • Kershner, R.: The number of circles covering a set. Am. J. Math. 61(3), 665-671 (1939)
    • (1939) Am. J. Math , vol.61 , Issue.3 , pp. 665-671
    • Kershner, R.1
  • 21
    • 78049247046 scopus 로고    scopus 로고
    • Coreduction homology algorithm for inclusions and persistent homology
    • Mrozek, M., Wanner, T.: Coreduction homology algorithm for inclusions and persistent homology. Comput. Math. Appl. 2812-2833 (2010)
    • (2010) Comput. Math. Appl , pp. 2812-2833
    • Mrozek, M.1    Wanner, T.2
  • 22
    • 80052767843 scopus 로고    scopus 로고
    • Homological methods for extraction and analysis of linear features in multidimensional images
    • Mrozek, M., Zelawski, M., Gryglewski, A., Han, S., Krajniak, A.: Homological methods for extraction and analysis of linear features in multidimensional images. Pattern Recogn, 45(1), 285-298 (2012). doiL 10.1016/j.patcog.2011.04.020
    • (2012) Pattern Recogn , vol.45 , Issue.1 , pp. 285-298
    • Mrozek, M.1    Zelawski, M.2    Gryglewski, A.3    Han, S.4    Krajniak, A.5
  • 24
    • 57149086705 scopus 로고    scopus 로고
    • Robust on-line computation of reeb graphs: Simplicity and speed
    • Pascucci, V., Scorzelli, G., Bremer, P.-T., Mascarenhas, A.: Robust on-line computation of reeb graphs: simplicity and speed. ACM Trans. Graph. 26(58), 1-8 (2007)
    • (2007) ACM Trans. Graph , vol.26 , Issue.58 , pp. 1-8
    • Pascucci, V.1    Scorzelli, G.2    Bremer, P.-T.3    Mascarenhas, A.4
  • 26
    • 18244369219 scopus 로고    scopus 로고
    • What is known about unit cubes
    • Zong, C.: What is known about unit cubes. Bull. Am. Math. Soc. 42(2005), 181-211 (2005)
    • (2005) Bull. Am. Math. Soc , vol.42 , Issue.2005 , pp. 181-211
    • Zong, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.