메뉴 건너뛰기




Volumn 31, Issue 1, 2008, Pages 35-56

Two-dimensional parallel thinning algorithms based on critical kernels

Author keywords

Collapse; Critical kernel; Digital topology; Medial axis; Minimal non simple set; P simple point; Parallel thinning algorithms; Simple point; Skeleton

Indexed keywords

PIXELS; TOPOLOGY; TWO DIMENSIONAL;

EID: 43449104235     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-007-0063-0     Document Type: Article
Times cited : (43)

References (45)
  • 4
    • 0039874700 scopus 로고
    • Sufficient conditions for 3D parallel thinning algorithms
    • Bertrand, G.: Sufficient conditions for 3D parallel thinning algorithms. In: SPIE Vision Geometry IV, vol. 2573, pp. 52-60 (1995)
    • (1995) SPIE Vision Geometry IV , vol.2573 , pp. 52-60
    • Bertrand, G.1
  • 5
    • 34948850129 scopus 로고    scopus 로고
    • Internal Report. Université de Marne-la-Vallée, IGM2005-05
    • Bertrand, G.: On critical kernels. Internal Report. Université de Marne-la-Vallée, IGM2005-05 (2005)
    • (2005) On Critical Kernels
    • Bertrand, G.1
  • 7
    • 33845201799 scopus 로고    scopus 로고
    • A new 3D parallel thinning scheme based on critical kernels
    • Springer Berlin
    • Bertrand, G., Couprie, M.: A new 3D parallel thinning scheme based on critical kernels. In: Lecture Notes in Computer Science, vol. 4245, pp. 580-591. Springer, Berlin (2006)
    • (2006) Lecture Notes in Computer Science, Vol. 4245 , pp. 580-591
    • Bertrand, G.1    Couprie, M.2
  • 9
    • 84867924920 scopus 로고    scopus 로고
    • Strong thinning and polyhedric approximation of the surface of a voxel object
    • Burguet, J., Malgouyres, R.: Strong thinning and polyhedric approximation of the surface of a voxel object. Discrete Appl. Math. 125, 93-114 (2003)
    • (2003) Discrete Appl. Math. , vol.125 , pp. 93-114
    • Burguet, J.1    Malgouyres, R.2
  • 14
    • 0037810951 scopus 로고    scopus 로고
    • Minimal non-simple sets in 4D binary pictures
    • Gau, C.-J., Kong, T.Y.: Minimal non-simple sets in 4D binary pictures. Graph. Models 65, 112-130 (2003)
    • (2003) Graph. Models , vol.65 , pp. 112-130
    • Gau, C.-J.1    Kong, T.Y.2
  • 17
    • 0024305421 scopus 로고
    • Fast parallel thinning algorithms: Parallel speed and connectivity preservation
    • 1
    • Hall, R.W.: Fast parallel thinning algorithms: Parallel speed and connectivity preservation. Commun. ACM 32(1), 124-131 (1989)
    • (1989) Commun. ACM , vol.32 , pp. 124-131
    • Hall, R.W.1
  • 18
    • 38249010670 scopus 로고
    • Tests for connectivity preservation for parallel reduction operators
    • 3
    • Hall, R.W.: Tests for connectivity preservation for parallel reduction operators. Topol. Appl. 46(3), 199-217 (1992)
    • (1992) Topol. Appl. , vol.46 , pp. 199-217
    • Hall, R.W.1
  • 20
    • 0026946219 scopus 로고
    • One-pass parallel thinning: Analysis, properties, and quantitative evaluation
    • 11
    • Jang, B.K., Chin, R.T.: One-pass parallel thinning: Analysis, properties, and quantitative evaluation. IEEE Pattern Anal. Mach. Intell. 14(11), 1129-1140 (1992)
    • (1992) IEEE Pattern Anal. Mach. Intell. , vol.14 , pp. 1129-1140
    • Jang, B.K.1    Chin, R.T.2
  • 22
    • 85075951361 scopus 로고
    • On the problem of determining whether a parallel reduction operator for n-dimensional binary images always preserves topology
    • Kong, T.Y.: On the problem of determining whether a parallel reduction operator for n-dimensional binary images always preserves topology. In: Proc. SPIE Vision Geometry II, vol. 2060, pp. 69-77 (1993)
    • (1993) Proc. SPIE Vision Geometry II , vol.2060 , pp. 69-77
    • Kong, Y.T.1
  • 23
    • 0029423569 scopus 로고
    • On topology preservation in 2-D and 3-D thinning
    • Kong, T.Y.: On topology preservation in 2-D and 3-D thinning. Int. J. Pattern Recogn. Artif. Intell. 9, 813-844 (1995)
    • (1995) Int. J. Pattern Recogn. Artif. Intell. , vol.9 , pp. 813-844
    • Kong, T.Y.1
  • 24
    • 84957710644 scopus 로고    scopus 로고
    • Topology-preserving deletion of 1's from 2-, 3- and 4-dimensional binary images
    • Springer Berlin
    • Kong, T.Y.: Topology-preserving deletion of 1's from 2-, 3- and 4-dimensional binary images. In: Lecture Notes in Computer Science, vol. 1347, pp. 3-18. Springer, Berlin (1997)
    • (1997) Lecture Notes in Computer Science, Vol. 1347 , pp. 3-18
    • Kong, T.Y.1
  • 25
    • 33845208224 scopus 로고    scopus 로고
    • Minimal non-simple and minimal non-cosimple sets in binary images on cell complexes
    • Springer Berlin
    • Kong, T.Y.: Minimal non-simple and minimal non-cosimple sets in binary images on cell complexes. In: Lecture Notes in Computer Science, vol. 4245, pp. 169-188. Springer, Berlin (2006)
    • (2006) Lecture Notes in Computer Science, Vol. 4245 , pp. 169-188
    • Kong, T.Y.1
  • 26
    • 35048886997 scopus 로고    scopus 로고
    • Minimal non-simple sets in 4-dimensional binary images with (8-80)-adjacency
    • Kong, T.Y., Gau, C.-J.: Minimal non-simple sets in 4-dimensional binary images with (8-80)-adjacency. In: Proc. Int. Workshop on Combinatorial Image Analysis, pp. 318-333 (2004)
    • (2004) Proc. Int. Workshop on Combinatorial Image Analysis , pp. 318-333
    • Kong, T.Y.1    Gau, C.-J.2
  • 28
    • 1842636145 scopus 로고    scopus 로고
    • A 3D 12-subiteration thinning algorithm based on P-simple points
    • Lohou, C., Bertrand, G.: A 3D 12-subiteration thinning algorithm based on P-simple points. Discrete Appl. Math. 139, 171-195 (2004)
    • (2004) Discrete Appl. Math. , vol.139 , pp. 171-195
    • Lohou, C.1    Bertrand, G.2
  • 29
    • 25144522750 scopus 로고    scopus 로고
    • A 3D 6-subiteration curve thinning algorithm based on P-simple points
    • Lohou, C., Bertrand, G.: A 3D 6-subiteration curve thinning algorithm based on P-simple points. Discrete Appl. Math. 151, 198-228 (2005)
    • (2005) Discrete Appl. Math. , vol.151 , pp. 198-228
    • Lohou, C.1    Bertrand, G.2
  • 31
    • 0028425191 scopus 로고
    • On topology preservation in 3D thinning
    • 3
    • Ma, C.M.: On topology preservation in 3D thinning. Image Underst. 59(3), 328-339 (1994)
    • (1994) Image Underst. , vol.59 , pp. 328-339
    • Ma, C.M.1
  • 32
    • 34247160439 scopus 로고    scopus 로고
    • Metrical properties of a collection of 2D parallel thinning algorithms
    • In: Electronic Notes on Discrete Mathematics
    • Manzanera, A., Bernard, T.M.: Metrical properties of a collection of 2D parallel thinning algorithms. In: Electronic Notes on Discrete Mathematics, Proc. 9th IWCIA, vol. 12 (2003)
    • (2003) Proc. 9th IWCIA , vol.12
    • Manzanera, A.1    Bernard, T.M.2
  • 34
    • 0020330535 scopus 로고
    • An asynchronous thinning algorithm
    • 2
    • Pavlidis, T.: An asynchronous thinning algorithm. Comput. Graph. Image Process. 20(2), 133-157 (1982)
    • (1982) Comput. Graph. Image Process. , vol.20 , pp. 133-157
    • Pavlidis, T.1
  • 35
    • 0024072430 scopus 로고
    • Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images
    • 1
    • Ronse, C.: Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images. Discrete Appl. Math. 21(1), 67-79 (1988)
    • (1988) Discrete Appl. Math. , vol.21 , pp. 67-79
    • Ronse, C.1
  • 36
    • 0014705801 scopus 로고
    • Connectivity in digital pictures
    • Rosenfeld, A.: Connectivity in digital pictures. J. Assoc. Comput. Mach. 17, 146-160 (1970)
    • (1970) J. Assoc. Comput. Mach. , vol.17 , pp. 146-160
    • Rosenfeld, A.1
  • 37
    • 0016577724 scopus 로고
    • A characterization of parallel thinning algorithms
    • 3
    • Rosenfeld, A.: A characterization of parallel thinning algorithms. Inf. Control 29(3), 286-291 (1975)
    • (1975) Inf. Control , vol.29 , pp. 286-291
    • Rosenfeld, A.1
  • 38
    • 0000639001 scopus 로고
    • Digital topology
    • Rosenfeld, A.: Digital topology. Am. Math. Mon. 86, 621-630 (1979)
    • (1979) Am. Math. Mon. , vol.86 , pp. 621-630
    • Rosenfeld, A.1
  • 40
    • 84943347235 scopus 로고
    • Sequential operations in digital picture processing
    • Rosenfeld, A., Pfaltz, J.L.: Sequential operations in digital picture processing. J. Assoc. Comput. Mach. 13, 471-494 (1966)
    • (1966) J. Assoc. Comput. Mach. , vol.13 , pp. 471-494
    • Rosenfeld, A.1    Pfaltz, J.L.2
  • 41
    • 0004150761 scopus 로고
    • Pattern recognition
    • Rutovitz, D.: Pattern recognition. J. R. Stat. Soc. 129, 504-530 (1966)
    • (1966) J. R. Stat. Soc. , vol.129 , pp. 504-530
    • Rutovitz, D.1
  • 43
    • 0015038422 scopus 로고
    • Some parallel thinning algorithms for digital pictures
    • 2
    • Stefanelli, R., Rosendeld, A.: Some parallel thinning algorithms for digital pictures. J. Assoc. Comput. Mach. 18(2), 255-264 (1971)
    • (1971) J. Assoc. Comput. Mach. , vol.18 , pp. 255-264
    • Stefanelli, R.1    Rosendeld, A.2
  • 44
    • 0027062013 scopus 로고
    • A new one-pass parallel thinning algorithm for binary images
    • Wu, R.Y., Tsai, W.H.: A new one-pass parallel thinning algorithm for binary images. Pattern Recogn. Lett. 13, 715-723 (1992)
    • (1992) Pattern Recogn. Lett. , vol.13 , pp. 715-723
    • Wu, R.Y.1    Tsai, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.