A 3D fully parallel surface-thinning algorithm

The thinning is an iterative layer by layer erosion until only the “skeletons” of the objects are left. This paper presents a thinning algorithm for extracting medial surfaces from 3D binary pictures. The strategy which is used is called fully parallel, which means that the same parallel operator is...

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Vydáno v:Theoretical computer science Ročník 406; číslo 1; s. 119 - 135
Hlavní autor: Palágyi, Kálmán
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 28.10.2008
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ISSN:0304-3975, 1879-2294
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Abstract The thinning is an iterative layer by layer erosion until only the “skeletons” of the objects are left. This paper presents a thinning algorithm for extracting medial surfaces from 3D binary pictures. The strategy which is used is called fully parallel, which means that the same parallel operator is applied at each iteration. An efficient implementation of the proposed algorithm on conventional sequential computers is given and the topological correctness for (26, 6) binary pictures is proved.
AbstractList The thinning is an iterative layer by layer erosion until only the “skeletons” of the objects are left. This paper presents a thinning algorithm for extracting medial surfaces from 3D binary pictures. The strategy which is used is called fully parallel, which means that the same parallel operator is applied at each iteration. An efficient implementation of the proposed algorithm on conventional sequential computers is given and the topological correctness for (26, 6) binary pictures is proved.
Author Palágyi, Kálmán
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Cites_doi 10.1016/0167-8655(94)00063-9
10.1006/cviu.1997.0598
10.1016/j.patrec.2006.09.004
10.1016/j.dam.2002.11.002
10.1007/s10851-007-0047-0
10.1109/34.574801
10.1016/S0031-3203(97)00016-2
10.1016/S0167-8655(01)00142-8
10.1016/S0167-8655(98)00031-2
10.1117/12.198601
10.1016/S1077-3142(03)00061-4
10.1006/gmip.1999.0498
10.1016/S0167-8655(01)00162-3
10.1016/S0031-3203(98)00082-X
10.1109/ICCV.1999.791239
10.1016/0734-189X(89)90147-3
10.1109/TVCG.2008.23
10.1109/TPAMI.2002.1114851
10.1142/S0218001495000341
10.1006/cviu.1996.0069
10.1016/0146-664X(81)90011-3
10.1006/cviu.1997.0610
10.1109/ICPR.1990.118087
10.1016/S0167-8655(01)00083-6
10.1109/ICPR.1992.201968
10.1109/ICPR.1992.201584
10.1016/j.patcog.2006.12.032
10.1006/cviu.2000.0879
10.1016/0167-8655(95)00034-E
10.1016/j.compbiomed.2005.05.004
10.1016/0167-8655(90)90018-W
10.1016/S0031-3203(02)00348-5
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Issue 1
Keywords Thinning algorithms
Discrete geometry
Skeleton
Digital topology
Topology preservation
Language English
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References Toriwaki, Mori (b45) 2001; vol. 2243
Palágyi (b35) 2002; 23
Bertrand (b4) 1995; 16
R.W. Hall, Ş. Küçük, Parallel 3D shrinking algorithms using subfields notions, in: Proc. 11th IEEE Int. Conf. Pattern Recognition, ICPR’92, 1992, pp. 395–398
Lohou, Bertrand (b17) 2002; vol. 2301
Palágyi (b38) 2007; vol. 4673
Ma (b20) 1995; 16
Ma, Wan (b23) 2001; 22
Arcelli, Sanniti di Baja, Serino (b2) 2006; vol. 4245
Palágyi (b39) 2007; vol. 4713
M. Rumpf, A. Telea, A continuous skeletonization method based on level sets, in: D. Ebert, P. Brunet, I. Navazo (Eds.), Proc. Joint EUROGRAPHICS-IEEE TCVG Symposium on Visualization, 2002, pp. 151–157
Näf, Szekely, Kikinis, Shenton, Kübler (b30) 1997; 66
Ma, Wan, Chang (b24) 2002; 23
G. Malandain, G. Bertrand, Fast characterization of 3D simple points, in: Proc. 11th IEEE Internat. Conf. on Pattern Recognition, ICPR’92, 1992, pp. 232–235
Lohou, Bertrand (b18) 2004; 139
G. Bertrand, Z. Aktouf, A 3D thinning algorithm using subfields, in: Proc. SPIE Conf. on Vision Geometry III 2356, 1994, pp. 113–124
Bertrand, Couprie (b7) 2006; vol. 4245
Palágyi (b36) 2005
Palágyi, Kuba (b31) 1998; 19
Palágyi, Kuba (b32) 1998; 6
Hall (b13) 1996; vol. 19
Saha, Chaudhuri, Majumder (b42) 1997; 30
Borgefors, Nyström, Sanniti di Baja (b9) 1999; 32
Bertrand (b5) 1995; 321
D.G. Morgenthaler, Three-dimensional simple points: Serial erosion, parallel thinning and skeletonization, TR-1005, Computer Vision Laboratory, Computer Science Center, Univ. of Maryland, College Park, MD. 1981
Lohou, Bertrand (b19) 2007; 40
Ma, Wan, Lee (b25) 2002; 24
Wang, Basu (b47) 2007; 28
Blum (b8) 1967
Kong, Rosenfeld (b14) 1989; 48
G. Bertrand, P-simple points: A solution for parallel thinning, in: Proc. 5th Int. Conf. Discrete Geometry for Computer Imagery, DGCI’95, 1995, pp. 233–242
Mukherjee, Das, Chatterjee (b29) 1990; 11
Palágyi, Kuba (b34) 1999; 61
Shaked, Bruckstein (b43) 1998; 69
Kong (b15) 1995; 9
Palágyi, Kuba (b33) 1999; vol. 1568
Xie, Thompson, Perucchio (b48) 2003; 36
Palágyi, Tschirren, Hoffman, Sonka (b37) 2006; 36
Ma, Wan (b22) 2000; 80
Cousty, Bertrand, Couprie, Najman (b10) 2008; 30
A. Manzanera, T.M. Bernard, F. Pretêux, B. Longuet, Medial faces from a concise 3D thinning algorithm, in: Proc. 7th IEEE Internat. Conf. Computer Vision, ICCV’99, 1999, vol. 1, pp. 337–343
Ahuja, Chuang (b1) 1997; 19
Tsao, Fu (b46) 1981; 17
Lee, Kashyap, Chu (b16) 1994; 56
Svensson, Sanniti di Baja (b44) 2003; 90
W.X. Gong, G. Bertrand, A simple parallel 3D thinning algorithm, in: Proc. 10th IEEE Internat. Conf. on Pattern Recognition, ICPR’90, 1990, pp. 188–190
Ma, Sonka (b21) 1996; 64
Reniers, van Wijk, Telea (b40) 2008; 14
Kong (10.1016/j.tcs.2008.06.041_b15) 1995; 9
Ma (10.1016/j.tcs.2008.06.041_b20) 1995; 16
Svensson (10.1016/j.tcs.2008.06.041_b44) 2003; 90
Tsao (10.1016/j.tcs.2008.06.041_b46) 1981; 17
Palágyi (10.1016/j.tcs.2008.06.041_b37) 2006; 36
Bertrand (10.1016/j.tcs.2008.06.041_b4) 1995; 16
Ma (10.1016/j.tcs.2008.06.041_b23) 2001; 22
Palágyi (10.1016/j.tcs.2008.06.041_b34) 1999; 61
Palágyi (10.1016/j.tcs.2008.06.041_b33) 1999; vol. 1568
10.1016/j.tcs.2008.06.041_b26
Cousty (10.1016/j.tcs.2008.06.041_b10) 2008; 30
Ma (10.1016/j.tcs.2008.06.041_b21) 1996; 64
10.1016/j.tcs.2008.06.041_b27
10.1016/j.tcs.2008.06.041_b28
Palágyi (10.1016/j.tcs.2008.06.041_b36) 2005
Toriwaki (10.1016/j.tcs.2008.06.041_b45) 2001; vol. 2243
Lohou (10.1016/j.tcs.2008.06.041_b19) 2007; 40
Shaked (10.1016/j.tcs.2008.06.041_b43) 1998; 69
Kong (10.1016/j.tcs.2008.06.041_b14) 1989; 48
10.1016/j.tcs.2008.06.041_b41
Näf (10.1016/j.tcs.2008.06.041_b30) 1997; 66
Wang (10.1016/j.tcs.2008.06.041_b47) 2007; 28
Saha (10.1016/j.tcs.2008.06.041_b42) 1997; 30
10.1016/j.tcs.2008.06.041_b3
Reniers (10.1016/j.tcs.2008.06.041_b40) 2008; 14
Ma (10.1016/j.tcs.2008.06.041_b22) 2000; 80
Palágyi (10.1016/j.tcs.2008.06.041_b32) 1998; 6
Bertrand (10.1016/j.tcs.2008.06.041_b5) 1995; 321
Palágyi (10.1016/j.tcs.2008.06.041_b38) 2007; vol. 4673
Ma (10.1016/j.tcs.2008.06.041_b25) 2002; 24
Bertrand (10.1016/j.tcs.2008.06.041_b7) 2006; vol. 4245
Blum (10.1016/j.tcs.2008.06.041_b8) 1967
Xie (10.1016/j.tcs.2008.06.041_b48) 2003; 36
Mukherjee (10.1016/j.tcs.2008.06.041_b29) 1990; 11
Hall (10.1016/j.tcs.2008.06.041_b13) 1996; vol. 19
Lohou (10.1016/j.tcs.2008.06.041_b18) 2004; 139
Palágyi (10.1016/j.tcs.2008.06.041_b31) 1998; 19
Lohou (10.1016/j.tcs.2008.06.041_b17) 2002; vol. 2301
Ahuja (10.1016/j.tcs.2008.06.041_b1) 1997; 19
Arcelli (10.1016/j.tcs.2008.06.041_b2) 2006; vol. 4245
Ma (10.1016/j.tcs.2008.06.041_b24) 2002; 23
Borgefors (10.1016/j.tcs.2008.06.041_b9) 1999; 32
Lee (10.1016/j.tcs.2008.06.041_b16) 1994; 56
Palágyi (10.1016/j.tcs.2008.06.041_b35) 2002; 23
10.1016/j.tcs.2008.06.041_b11
Palágyi (10.1016/j.tcs.2008.06.041_b39) 2007; vol. 4713
10.1016/j.tcs.2008.06.041_b6
10.1016/j.tcs.2008.06.041_b12
References_xml – volume: vol. 4673
  start-page: 628
  year: 2007
  end-page: 635
  ident: b38
  article-title: A 3-subiteration surface-thinning algorithm
  publication-title: Proc. 12th Int. Conf. Computer Analysis of Images and Patterns
– volume: 24
  start-page: 1594
  year: 2002
  end-page: 1604
  ident: b25
  article-title: Three-dimensional topology preserving reduction on the 4-subfields
  publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
– volume: vol. 4713
  start-page: 294
  year: 2007
  end-page: 303
  ident: b39
  article-title: A subiteration-based surface-thinning algorithm with a period of three
  publication-title: Lecture Notes in Computer Science
– volume: 17
  start-page: 315
  year: 1981
  end-page: 331
  ident: b46
  article-title: A parallel thinning algorithm for 3-D pictures
  publication-title: Computer Graphics and Image Processing
– reference: G. Bertrand, Z. Aktouf, A 3D thinning algorithm using subfields, in: Proc. SPIE Conf. on Vision Geometry III 2356, 1994, pp. 113–124
– reference: W.X. Gong, G. Bertrand, A simple parallel 3D thinning algorithm, in: Proc. 10th IEEE Internat. Conf. on Pattern Recognition, ICPR’90, 1990, pp. 188–190
– volume: vol. 2301
  start-page: 102
  year: 2002
  end-page: 113
  ident: b17
  article-title: A new 3D 6-subiteration thinning algorithm based on P-simple points
  publication-title: Proc. 10th Int. Conf. Discrete Geometry for Computer Imagery
– volume: vol. 19
  start-page: 145
  year: 1996
  end-page: 179
  ident: b13
  article-title: Parallel connectivity-preserving thinning algorithms
  publication-title: Topological Algorithms for Digital Image Processing
– reference: A. Manzanera, T.M. Bernard, F. Pretêux, B. Longuet, Medial faces from a concise 3D thinning algorithm, in: Proc. 7th IEEE Internat. Conf. Computer Vision, ICCV’99, 1999, vol. 1, pp. 337–343
– volume: 11
  start-page: 643
  year: 1990
  end-page: 648
  ident: b29
  article-title: On connectivity issues of ESPTA
  publication-title: Pattern Recognition Letters
– volume: 23
  start-page: 663
  year: 2002
  end-page: 675
  ident: b35
  article-title: A 3-subiteration 3D thinning algorithm for extracting medial surfaces
  publication-title: Pattern Recognition Letters
– volume: 321
  start-page: 1077
  year: 1995
  end-page: 1084
  ident: b5
  article-title: On P-simple points
  publication-title: C. R. Acad. Sci. Paris
– volume: vol. 4245
  start-page: 580
  year: 2006
  end-page: 591
  ident: b7
  article-title: A new 3D parallel thinning scheme based on critical kernels
  publication-title: Proc. 13th Int. Conf. Discrete Geometry for Computer Imagery
– volume: 40
  start-page: 2301
  year: 2007
  end-page: 2314
  ident: b19
  article-title: Two symmetrical thinning algorithms for 3D binary images, based on P-simple points
  publication-title: Pattern Recognition
– volume: 64
  start-page: 420
  year: 1996
  end-page: 433
  ident: b21
  article-title: A fully parallel 3D thinning algorithm and its applications
  publication-title: Computer Vision and Image Understanding
– volume: 9
  start-page: 813
  year: 1995
  end-page: 844
  ident: b15
  article-title: On topology preservation in 2-d and 3-d thinning
  publication-title: International Journal of Pattern Recognition and Artificial Intelligence
– reference: G. Malandain, G. Bertrand, Fast characterization of 3D simple points, in: Proc. 11th IEEE Internat. Conf. on Pattern Recognition, ICPR’92, 1992, pp. 232–235
– start-page: 135
  year: 2005
  end-page: 142
  ident: b36
  article-title: A 2-subfield 3D thinning algorithm for extracting medial curves
  publication-title: Proc. Joint Hungarian-Austrian Conference on Image Processing and Pattern Recognition HACIPPR 2005
– volume: 19
  start-page: 169
  year: 1997
  end-page: 176
  ident: b1
  article-title: Shape representation using a generalized potential field model
  publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
– volume: vol. 1568
  start-page: 325
  year: 1999
  end-page: 336
  ident: b33
  article-title: Directional 3D thinning using 8 subiterations
  publication-title: Proc. 8th Int. Conf. Discrete Geometry for Computer Imagery
– volume: 6
  start-page: 149
  year: 1998
  end-page: 164
  ident: b32
  article-title: A hybrid thinning algorithm for 3D medical images
  publication-title: Journal of Computing and Information Technology
– volume: 32
  start-page: 1225
  year: 1999
  end-page: 1236
  ident: b9
  article-title: Computing skeletons in three dimensions
  publication-title: Pattern Recognition
– reference: D.G. Morgenthaler, Three-dimensional simple points: Serial erosion, parallel thinning and skeletonization, TR-1005, Computer Vision Laboratory, Computer Science Center, Univ. of Maryland, College Park, MD. 1981
– volume: 30
  start-page: 1939
  year: 1997
  end-page: 1955
  ident: b42
  article-title: A new shape-preserving parallel thinning algorithm for 3D digital images
  publication-title: Pattern Recognition
– volume: 90
  start-page: 242
  year: 2003
  end-page: 257
  ident: b44
  article-title: Simplifying curve skeletons in volume images
  publication-title: Computer Vision Image Understanding
– volume: 23
  start-page: 895
  year: 2002
  end-page: 904
  ident: b24
  article-title: Extracting medial curves on 3D images
  publication-title: Pattern Recognition Letters
– volume: vol. 4245
  start-page: 555
  year: 2006
  end-page: 566
  ident: b2
  article-title: New removal operators for surface skeletonization
  publication-title: Proc. 13th Int. Conf. Discrete Geometry for Computer Imagery
– volume: 139
  start-page: 171
  year: 2004
  end-page: 195
  ident: b18
  article-title: A 3D 12-subiteration thinning algorithm based on P-simple points
  publication-title: Discrete Applied Mathematics
– volume: 28
  start-page: 501
  year: 2007
  end-page: 506
  ident: b47
  article-title: A note on ‘A fully parallel 3D thinning algorithm and its applications’
  publication-title: Pattern Recognition Letters
– reference: G. Bertrand, P-simple points: A solution for parallel thinning, in: Proc. 5th Int. Conf. Discrete Geometry for Computer Imagery, DGCI’95, 1995, pp. 233–242
– volume: 48
  start-page: 357
  year: 1989
  end-page: 393
  ident: b14
  article-title: Digital topology: Introduction and survey
  publication-title: Computer Vision, Graphics, and Image Processing
– volume: 66
  start-page: 147
  year: 1997
  end-page: 161
  ident: b30
  article-title: 3D Voronoi skeletons and their usage for the characterization and recognition of 3D organ shape
  publication-title: Computer Vision and Image Understanding
– volume: 19
  start-page: 613
  year: 1998
  end-page: 627
  ident: b31
  article-title: A 3D 6-subiteration thinning algorithm for extracting medial lines
  publication-title: Pattern Recognition Letters
– reference: R.W. Hall, Ş. Küçük, Parallel 3D shrinking algorithms using subfields notions, in: Proc. 11th IEEE Int. Conf. Pattern Recognition, ICPR’92, 1992, pp. 395–398
– reference: M. Rumpf, A. Telea, A continuous skeletonization method based on level sets, in: D. Ebert, P. Brunet, I. Navazo (Eds.), Proc. Joint EUROGRAPHICS-IEEE TCVG Symposium on Visualization, 2002, pp. 151–157
– volume: 22
  start-page: 1439
  year: 2001
  end-page: 1446
  ident: b23
  article-title: A medial-surface oriented 3-d two-subfield thinning algorithm
  publication-title: Pattern Recognition Letters
– volume: 69
  start-page: 156
  year: 1998
  end-page: 169
  ident: b43
  article-title: Pruning medial axes
  publication-title: Computer Vision Image Understanding
– volume: 80
  start-page: 364
  year: 2000
  end-page: 378
  ident: b22
  article-title: Parallel thinning algorithms on 3D (18, 6) binary images
  publication-title: Computer Vision Image Understanding
– volume: 14
  start-page: 355
  year: 2008
  end-page: 368
  ident: b40
  article-title: Computing multiscale curve and surface skeletons of genus 0 shapes using a global importance measure
  publication-title: IEEE Transactions on Visualization and Computer Graphics
– volume: 16
  start-page: 979
  year: 1995
  end-page: 986
  ident: b4
  article-title: A parallel thinning algorithm for medial surfaces
  publication-title: Pattern Recognition Letters
– volume: 30
  start-page: 87
  year: 2008
  end-page: 104
  ident: b10
  article-title: Fusion graphs: Merging properties and watersheds
  publication-title: Journal of Mathematical Imaging and Vision
– volume: 61
  start-page: 199
  year: 1999
  end-page: 221
  ident: b34
  article-title: A parallel 3D 12-subiteration thinning algorithm
  publication-title: Graphical Models and Image Processing
– start-page: 362
  year: 1967
  end-page: 380
  ident: b8
  article-title: A transformation for extracting new descriptors of shape
  publication-title: Models for the Perception of Speech and Visual Form
– volume: 56
  start-page: 462
  year: 1994
  end-page: 478
  ident: b16
  article-title: Building skeleton models via 3-D medial surface/axis thinning algorithms
  publication-title: CVGIP: Graphical Models and Image Processing
– volume: 16
  start-page: 83
  year: 1995
  end-page: 87
  ident: b20
  article-title: A 3D fully parallel thinning algorithm for generating medial faces
  publication-title: Pattern Recognition Letters
– volume: 36
  start-page: 974
  year: 2006
  end-page: 996
  ident: b37
  article-title: Quantitative analysis of pulmonary airway tree structures
  publication-title: Computers in Biology and Medicine
– volume: vol. 2243
  start-page: 412
  year: 2001
  end-page: 428
  ident: b45
  article-title: Distance transformation and skeletonization of 3D pictures and their applications to medical images
  publication-title: Digital and Image Geometry
– volume: 36
  start-page: 1529
  year: 2003
  end-page: 1544
  ident: b48
  article-title: A topology-preserving parallel 3D thinning algorithm for extracting the curve skeleton
  publication-title: Pattern Recognition
– volume: 16
  start-page: 83
  year: 1995
  ident: 10.1016/j.tcs.2008.06.041_b20
  article-title: A 3D fully parallel thinning algorithm for generating medial faces
  publication-title: Pattern Recognition Letters
  doi: 10.1016/0167-8655(94)00063-9
– volume: 69
  start-page: 156
  year: 1998
  ident: 10.1016/j.tcs.2008.06.041_b43
  article-title: Pruning medial axes
  publication-title: Computer Vision Image Understanding
  doi: 10.1006/cviu.1997.0598
– volume: 28
  start-page: 501
  year: 2007
  ident: 10.1016/j.tcs.2008.06.041_b47
  article-title: A note on ‘A fully parallel 3D thinning algorithm and its applications’
  publication-title: Pattern Recognition Letters
  doi: 10.1016/j.patrec.2006.09.004
– volume: vol. 4245
  start-page: 555
  year: 2006
  ident: 10.1016/j.tcs.2008.06.041_b2
  article-title: New removal operators for surface skeletonization
– volume: 139
  start-page: 171
  year: 2004
  ident: 10.1016/j.tcs.2008.06.041_b18
  article-title: A 3D 12-subiteration thinning algorithm based on P-simple points
  publication-title: Discrete Applied Mathematics
  doi: 10.1016/j.dam.2002.11.002
– volume: 30
  start-page: 87
  year: 2008
  ident: 10.1016/j.tcs.2008.06.041_b10
  article-title: Fusion graphs: Merging properties and watersheds
  publication-title: Journal of Mathematical Imaging and Vision
  doi: 10.1007/s10851-007-0047-0
– volume: 6
  start-page: 149
  year: 1998
  ident: 10.1016/j.tcs.2008.06.041_b32
  article-title: A hybrid thinning algorithm for 3D medical images
  publication-title: Journal of Computing and Information Technology
– volume: 19
  start-page: 169
  year: 1997
  ident: 10.1016/j.tcs.2008.06.041_b1
  article-title: Shape representation using a generalized potential field model
  publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
  doi: 10.1109/34.574801
– ident: 10.1016/j.tcs.2008.06.041_b28
– volume: 30
  start-page: 1939
  year: 1997
  ident: 10.1016/j.tcs.2008.06.041_b42
  article-title: A new shape-preserving parallel thinning algorithm for 3D digital images
  publication-title: Pattern Recognition
  doi: 10.1016/S0031-3203(97)00016-2
– volume: vol. 4245
  start-page: 580
  year: 2006
  ident: 10.1016/j.tcs.2008.06.041_b7
  article-title: A new 3D parallel thinning scheme based on critical kernels
– volume: 23
  start-page: 663
  year: 2002
  ident: 10.1016/j.tcs.2008.06.041_b35
  article-title: A 3-subiteration 3D thinning algorithm for extracting medial surfaces
  publication-title: Pattern Recognition Letters
  doi: 10.1016/S0167-8655(01)00142-8
– volume: vol. 4713
  start-page: 294
  year: 2007
  ident: 10.1016/j.tcs.2008.06.041_b39
  article-title: A subiteration-based surface-thinning algorithm with a period of three
– volume: 19
  start-page: 613
  year: 1998
  ident: 10.1016/j.tcs.2008.06.041_b31
  article-title: A 3D 6-subiteration thinning algorithm for extracting medial lines
  publication-title: Pattern Recognition Letters
  doi: 10.1016/S0167-8655(98)00031-2
– ident: 10.1016/j.tcs.2008.06.041_b3
  doi: 10.1117/12.198601
– volume: 90
  start-page: 242
  year: 2003
  ident: 10.1016/j.tcs.2008.06.041_b44
  article-title: Simplifying curve skeletons in volume images
  publication-title: Computer Vision Image Understanding
  doi: 10.1016/S1077-3142(03)00061-4
– volume: vol. 2301
  start-page: 102
  year: 2002
  ident: 10.1016/j.tcs.2008.06.041_b17
  article-title: A new 3D 6-subiteration thinning algorithm based on P-simple points
– volume: 61
  start-page: 199
  year: 1999
  ident: 10.1016/j.tcs.2008.06.041_b34
  article-title: A parallel 3D 12-subiteration thinning algorithm
  publication-title: Graphical Models and Image Processing
  doi: 10.1006/gmip.1999.0498
– volume: vol. 4673
  start-page: 628
  year: 2007
  ident: 10.1016/j.tcs.2008.06.041_b38
  article-title: A 3-subiteration surface-thinning algorithm
– volume: 23
  start-page: 895
  year: 2002
  ident: 10.1016/j.tcs.2008.06.041_b24
  article-title: Extracting medial curves on 3D images
  publication-title: Pattern Recognition Letters
  doi: 10.1016/S0167-8655(01)00162-3
– ident: 10.1016/j.tcs.2008.06.041_b41
– volume: 32
  start-page: 1225
  year: 1999
  ident: 10.1016/j.tcs.2008.06.041_b9
  article-title: Computing skeletons in three dimensions
  publication-title: Pattern Recognition
  doi: 10.1016/S0031-3203(98)00082-X
– start-page: 362
  year: 1967
  ident: 10.1016/j.tcs.2008.06.041_b8
  article-title: A transformation for extracting new descriptors of shape
– ident: 10.1016/j.tcs.2008.06.041_b27
  doi: 10.1109/ICCV.1999.791239
– volume: 48
  start-page: 357
  year: 1989
  ident: 10.1016/j.tcs.2008.06.041_b14
  article-title: Digital topology: Introduction and survey
  publication-title: Computer Vision, Graphics, and Image Processing
  doi: 10.1016/0734-189X(89)90147-3
– volume: 14
  start-page: 355
  year: 2008
  ident: 10.1016/j.tcs.2008.06.041_b40
  article-title: Computing multiscale curve and surface skeletons of genus 0 shapes using a global importance measure
  publication-title: IEEE Transactions on Visualization and Computer Graphics
  doi: 10.1109/TVCG.2008.23
– volume: 24
  start-page: 1594
  year: 2002
  ident: 10.1016/j.tcs.2008.06.041_b25
  article-title: Three-dimensional topology preserving reduction on the 4-subfields
  publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
  doi: 10.1109/TPAMI.2002.1114851
– volume: 321
  start-page: 1077
  year: 1995
  ident: 10.1016/j.tcs.2008.06.041_b5
  article-title: On P-simple points
  publication-title: C. R. Acad. Sci. Paris
– volume: vol. 1568
  start-page: 325
  year: 1999
  ident: 10.1016/j.tcs.2008.06.041_b33
  article-title: Directional 3D thinning using 8 subiterations
– start-page: 135
  year: 2005
  ident: 10.1016/j.tcs.2008.06.041_b36
  article-title: A 2-subfield 3D thinning algorithm for extracting medial curves
– volume: 9
  start-page: 813
  year: 1995
  ident: 10.1016/j.tcs.2008.06.041_b15
  article-title: On topology preservation in 2-d and 3-d thinning
  publication-title: International Journal of Pattern Recognition and Artificial Intelligence
  doi: 10.1142/S0218001495000341
– volume: 64
  start-page: 420
  year: 1996
  ident: 10.1016/j.tcs.2008.06.041_b21
  article-title: A fully parallel 3D thinning algorithm and its applications
  publication-title: Computer Vision and Image Understanding
  doi: 10.1006/cviu.1996.0069
– volume: 17
  start-page: 315
  year: 1981
  ident: 10.1016/j.tcs.2008.06.041_b46
  article-title: A parallel thinning algorithm for 3-D pictures
  publication-title: Computer Graphics and Image Processing
  doi: 10.1016/0146-664X(81)90011-3
– volume: vol. 2243
  start-page: 412
  year: 2001
  ident: 10.1016/j.tcs.2008.06.041_b45
  article-title: Distance transformation and skeletonization of 3D pictures and their applications to medical images
– volume: 66
  start-page: 147
  year: 1997
  ident: 10.1016/j.tcs.2008.06.041_b30
  article-title: 3D Voronoi skeletons and their usage for the characterization and recognition of 3D organ shape
  publication-title: Computer Vision and Image Understanding
  doi: 10.1006/cviu.1997.0610
– ident: 10.1016/j.tcs.2008.06.041_b11
  doi: 10.1109/ICPR.1990.118087
– volume: 22
  start-page: 1439
  year: 2001
  ident: 10.1016/j.tcs.2008.06.041_b23
  article-title: A medial-surface oriented 3-d two-subfield thinning algorithm
  publication-title: Pattern Recognition Letters
  doi: 10.1016/S0167-8655(01)00083-6
– ident: 10.1016/j.tcs.2008.06.041_b26
  doi: 10.1109/ICPR.1992.201968
– ident: 10.1016/j.tcs.2008.06.041_b12
  doi: 10.1109/ICPR.1992.201584
– volume: 40
  start-page: 2301
  year: 2007
  ident: 10.1016/j.tcs.2008.06.041_b19
  article-title: Two symmetrical thinning algorithms for 3D binary images, based on P-simple points
  publication-title: Pattern Recognition
  doi: 10.1016/j.patcog.2006.12.032
– volume: 80
  start-page: 364
  year: 2000
  ident: 10.1016/j.tcs.2008.06.041_b22
  article-title: Parallel thinning algorithms on 3D (18, 6) binary images
  publication-title: Computer Vision Image Understanding
  doi: 10.1006/cviu.2000.0879
– ident: 10.1016/j.tcs.2008.06.041_b6
– volume: 16
  start-page: 979
  year: 1995
  ident: 10.1016/j.tcs.2008.06.041_b4
  article-title: A parallel thinning algorithm for medial surfaces
  publication-title: Pattern Recognition Letters
  doi: 10.1016/0167-8655(95)00034-E
– volume: vol. 19
  start-page: 145
  year: 1996
  ident: 10.1016/j.tcs.2008.06.041_b13
  article-title: Parallel connectivity-preserving thinning algorithms
– volume: 56
  start-page: 462
  year: 1994
  ident: 10.1016/j.tcs.2008.06.041_b16
  article-title: Building skeleton models via 3-D medial surface/axis thinning algorithms
  publication-title: CVGIP: Graphical Models and Image Processing
– volume: 36
  start-page: 974
  year: 2006
  ident: 10.1016/j.tcs.2008.06.041_b37
  article-title: Quantitative analysis of pulmonary airway tree structures
  publication-title: Computers in Biology and Medicine
  doi: 10.1016/j.compbiomed.2005.05.004
– volume: 11
  start-page: 643
  year: 1990
  ident: 10.1016/j.tcs.2008.06.041_b29
  article-title: On connectivity issues of ESPTA
  publication-title: Pattern Recognition Letters
  doi: 10.1016/0167-8655(90)90018-W
– volume: 36
  start-page: 1529
  year: 2003
  ident: 10.1016/j.tcs.2008.06.041_b48
  article-title: A topology-preserving parallel 3D thinning algorithm for extracting the curve skeleton
  publication-title: Pattern Recognition
  doi: 10.1016/S0031-3203(02)00348-5
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Snippet The thinning is an iterative layer by layer erosion until only the “skeletons” of the objects are left. This paper presents a thinning algorithm for extracting...
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StartPage 119
SubjectTerms Digital topology
Discrete geometry
Skeleton
Thinning algorithms
Topology preservation
Title A 3D fully parallel surface-thinning algorithm
URI https://dx.doi.org/10.1016/j.tcs.2008.06.041
Volume 406
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