메뉴 건너뛰기




Volumn 121, Issue , 2014, Pages 43-56

Comparing shapes through multi-scale approximations of the matching distance

Author keywords

Bottleneck distance; Dissimilarity criterion; Persistence diagram; Shape analysis

Indexed keywords

IMAGE UNDERSTANDING;

EID: 84897044101     PISSN: 10773142     EISSN: 1090235X     Source Type: Journal    
DOI: 10.1016/j.cviu.2013.11.004     Document Type: Article
Times cited : (10)

References (34)
  • 1
    • 0016557674 scopus 로고
    • Multidimensional binary search trees used for associative searching
    • J.L. Bentley Multidimensional binary search trees used for associative searching Commun. ACM 18 9 1975 509 517
    • (1975) Commun. ACM , vol.18 , Issue.9 , pp. 509-517
    • Bentley, J.L.1
  • 3
    • 80052523850 scopus 로고    scopus 로고
    • A new algorithm for computing the 2-dimensional matching distance between size functions
    • S. Biasotti, A. Cerri, P. Frosini, and D. Giorgi A new algorithm for computing the 2-dimensional matching distance between size functions Pattern Recognit. Lett. 32 14 2011 1735 1746
    • (2011) Pattern Recognit. Lett. , vol.32 , Issue.14 , pp. 1735-1746
    • Biasotti, S.1    Cerri, A.2    Frosini, P.3    Giorgi, D.4
  • 8
    • 78650515001 scopus 로고    scopus 로고
    • Finiteness of rank invariants of multidimensional persistent homology groups
    • F. Cagliari, and C. Landi Finiteness of rank invariants of multidimensional persistent homology groups Appl. Math. Lett. 24 4 2011 516 518
    • (2011) Appl. Math. Lett. , vol.24 , Issue.4 , pp. 516-518
    • Cagliari, F.1    Landi, C.2
  • 10
    • 84864005198 scopus 로고    scopus 로고
    • Multi-scale approximation of the matching distance for shape retrieval
    • M. Ferri, P. Frosini, C. Landi, A. Cerri, B. Di Fabio, vol. 7309 Springer
    • A. Cerri, B. Di Fabio, and F. Medri Multi-scale approximation of the matching distance for shape retrieval M. Ferri, P. Frosini, C. Landi, A. Cerri, B. Di Fabio, CTIC vol. 7309 Lecture Notes in Computer Science 2012 Springer 128 138
    • (2012) CTIC , vol.LECTURE NOTES IN COMPUTER SCIENCE , pp. 128-138
    • Cerri, A.1    Di Fabio, B.2    Medri, F.3
  • 11
    • 33750483310 scopus 로고    scopus 로고
    • Retrieval of trademark images by means of size functions
    • A. Cerri, M. Ferri, and D. Giorgi Retrieval of trademark images by means of size functions Graph. Models 68 5 2006 451 471
    • (2006) Graph. Models , vol.68 , Issue.5 , pp. 451-471
    • Cerri, A.1    Ferri, M.2    Giorgi, D.3
  • 12
    • 33749674520 scopus 로고    scopus 로고
    • Shape recognition via an a contrario model for size functions
    • A. Campilho, M. Kamel, Lecture Notes in Computer Science Springer Berlin Heidelberg
    • A. Cerri, D. Giorgi, P. Musé, F. Sur, and F. Tomassini Shape recognition via an a contrario model for size functions A. Campilho, M. Kamel, Image Analysis and Recognition Lecture Notes in Computer Science vol. 4142 2006 Springer Berlin Heidelberg 410 421
    • (2006) Image Analysis and Recognition , vol.4142 VOL. , pp. 410-421
    • Cerri, A.1    Giorgi, D.2    Musé, P.3    Sur, F.4    Tomassini, F.5
  • 15
    • 58849140892 scopus 로고    scopus 로고
    • Extending persistence using Poincaré and Lefschetz duality
    • D. Cohen-Steiner, H. Edelsbrunner, and J. Harer Extending persistence using Poincaré and Lefschetz duality Found. Comput. Math. 9 1 2009 79 103
    • (2009) Found. Comput. Math. , vol.9 , Issue.1 , pp. 79-103
    • Cohen-Steiner, D.1    Edelsbrunner, H.2    Harer, J.3
  • 16
    • 0021454284 scopus 로고
    • Summed-area tables for texture mapping
    • ACM
    • F.C. Crow Summed-area tables for texture mapping ACM SIGGRAPH Computer Graphics vol. 18 1984 ACM 207 212
    • (1984) ACM SIGGRAPH Computer Graphics , vol.18 VOL. , pp. 207-212
    • Crow, F.C.1
  • 17
    • 34247120051 scopus 로고    scopus 로고
    • Using matching distance in size theory: A survey
    • M. d'Amico, P. Frosini, and C. Landi Using matching distance in size theory: a survey Int. J. Imag. Syst. Tech. 16 5 2006 154 161
    • (2006) Int. J. Imag. Syst. Tech. , vol.16 , Issue.5 , pp. 154-161
    • D'Amico, M.1    Frosini, P.2    Landi, C.3
  • 18
    • 77949266078 scopus 로고    scopus 로고
    • Natural pseudo-distance and optimal matching between reduced size functions
    • M. d'Amico, P. Frosini, and C. Landi Natural pseudo-distance and optimal matching between reduced size functions Acta. Appl. Math. 109 2010 527 554
    • (2010) Acta. Appl. Math. , vol.109 , pp. 527-554
    • D'Amico, M.1    Frosini, P.2    Landi, C.3
  • 19
    • 84862203262 scopus 로고    scopus 로고
    • Persistent homology and partial similarity of shapes
    • B. Di Fabio, and C. Landi Persistent homology and partial similarity of shapes Pattern Recognit. Lett. 33 11 2012 1445 1450
    • (2012) Pattern Recognit. Lett. , vol.33 , Issue.11 , pp. 1445-1450
    • Di Fabio, B.1    Landi, C.2
  • 20
  • 21
    • 70349220130 scopus 로고    scopus 로고
    • Persistent homology - A survey
    • Contemp. Math Amer. Math. Soc. Providence, RI
    • H. Edelsbrunner, and J. Harer Persistent homology - a survey Surveys on Discrete and Computational Geometry Contemp. Math vol. 453 2008 Amer. Math. Soc. Providence, RI 257 282
    • (2008) Surveys on Discrete and Computational Geometry , vol.453 VOL. , pp. 257-282
    • Edelsbrunner, H.1    Harer, J.2
  • 23
    • 77951451077 scopus 로고    scopus 로고
    • Size functions for the morphological analysis of melanocytic lesions
    • (2010:Article ID 621357)
    • M. Ferri, and I. Stanganelli Size functions for the morphological analysis of melanocytic lesions Int. J. Biomed. Imaging 2010 (2010:Article ID 621357)
    • (2010) Int. J. Biomed. Imaging
    • Ferri, M.1    Stanganelli, I.2
  • 24
    • 0001169408 scopus 로고    scopus 로고
    • Size theory as a topological tool for computer vision
    • P. Frosini, and C. Landi Size theory as a topological tool for computer vision Pattern Recognit. Image Anal. 9 1999 596 603
    • (1999) Pattern Recognit. Image Anal. , vol.9 , pp. 596-603
    • Frosini, P.1    Landi, C.2
  • 26
    • 84891389256 scopus 로고    scopus 로고
    • Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval
    • P. Frosini, and C. Landi Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval Pattern Recognit. Lett. 34 8 2013 863 872
    • (2013) Pattern Recognit. Lett. , vol.34 , Issue.8 , pp. 863-872
    • Frosini, P.1    Landi, C.2
  • 27
    • 0035156965 scopus 로고    scopus 로고
    • Topology matching for fully automatic similarity estimation of 3d shapes
    • M. Hilaga, Y. Shinagawa, T. Kohmura, T.L. Kunii, Topology matching for fully automatic similarity estimation of 3d shapes. in: SIGGRAPH '01, 2001, pp. 203-212.
    • (2001) SIGGRAPH '01 , pp. 203-212
    • Hilaga, M.1    Shinagawa, Y.2    Kohmura, T.3    Kunii, T.L.4
  • 31
    • 79953696916 scopus 로고    scopus 로고
    • Size functions applied to the statistical shape analysis and classification of tumor cells
    • L. Bonilla, M. Moscoso, G. Platero, J. Vega, Mathematics in Industry Springer Berlin Heidelberg
    • A. Micheletti, and G. Landini Size functions applied to the statistical shape analysis and classification of tumor cells L. Bonilla, M. Moscoso, G. Platero, J. Vega, Progress in Industrial Mathematics at ECMI 2006 Mathematics in Industry vol. 12 2008 Springer Berlin Heidelberg 538 542
    • (2008) Progress in Industrial Mathematics at ECMI 2006 , vol.12 VOL. , pp. 538-542
    • Micheletti, A.1    Landini, G.2
  • 33
    • 78651295003 scopus 로고    scopus 로고
    • A concise and provably informative multi-scale signature based on heat diffusion
    • J. Sun, M. Ovsjanikov, L. Guibas, A concise and provably informative multi-scale signature based on heat diffusion, in: Proc. SGP '09, 2009, pp. 1383-1392.
    • (2009) Proc. SGP '09 , pp. 1383-1392
    • Sun, J.1    Ovsjanikov, M.2    Guibas, L.3
  • 34
    • 47949094222 scopus 로고    scopus 로고
    • A survey of content-based 3D shape retrieval methods
    • J. Tangelder, and R. Veltkamp A survey of content-based 3D shape retrieval methods Multimedia Tools Appl. 39 3 2008 441 471
    • (2008) Multimedia Tools Appl. , vol.39 , Issue.3 , pp. 441-471
    • Tangelder, J.1    Veltkamp, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.