Skip to main content

A parallel 12-subiteration 3D thinning algorithm to extract medial lines

  • Mathematical Morphology
  • Conference paper
  • First Online:
Computer Analysis of Images and Patterns (CAIP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1296))

Included in the following conference series:

Abstract

Thinning is a frequently used method for extracting skeletons of objects in discrete spaces. It is a layer by layer erosion of the objects until only their skeletons are left. This paper presents an efficient parallel thinning algorithm which directly extracts medial lines from 3D binary objects (i.e., without creating medial surface). According to the selected 12 deletion directions, one iteration step contains 12 subiterations (instead of the usual 6). Our algorithm provides good results, preserves topology and makes easy implementation possible.

This work were supported by OTKA T023804 and FKFP 0908/1997 grants.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kong, T.Y., Rosenfeld, A.: Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing 48 (1989) 357–393

    Google Scholar 

  2. Ma, C.M.: On topology preservation in 3D thinning. CVGIP: Image Understanding 59 (1994) 328–339

    Article  Google Scholar 

  3. Rosenfeld, A.: A characterization of parallel thinning algorithms. Information and Control 29 (1975) 286–291

    Article  Google Scholar 

  4. Tsao, Y.F., Fu, K.S.: A parallel thinning algorithm for 3-D pictures. Computer Graphics and Image Processing 17 (1981) 315–331

    Article  Google Scholar 

  5. Reed, G.M.: On the characterization of simple closed surfaces in three-dimensional digital images. Computer Graphics and Image Processing 25 (1984) 226–235

    Article  Google Scholar 

  6. Morgenthaler, D.G.: Three-dimensional simple points: Serial erosion, parallel thinning and skeletonization, Technical Report TR-1005, Computer Vision Laboratory, Computer Science Center, University of Maryland, 1981

    Google Scholar 

  7. Gong, W.X., Bertrand, G.: A simple parallel 3D thinning algorithm. In Proceedings of the 10th International Conference on Pattern Recognition. (1990) 188–190

    Google Scholar 

  8. Lee, T., Kashyap, R.L., Chu, C.: Building skeleton models via 3-D medial surface/axis thinning algorithms. CVGIP: Graphical Models and Image Processing 56 (1994) 462–478

    Article  Google Scholar 

  9. Palágyi K., Kuba, A.: A topology preserving 12-subiteration 3D thinning algorithm, Internal report, Department of Applied Informatics, József Attila University, 1996

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Gerald Sommer Kostas Daniilidis Josef Pauli

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Palágyi, K., Kuba, A. (1997). A parallel 12-subiteration 3D thinning algorithm to extract medial lines. In: Sommer, G., Daniilidis, K., Pauli, J. (eds) Computer Analysis of Images and Patterns. CAIP 1997. Lecture Notes in Computer Science, vol 1296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63460-6_143

Download citation

  • DOI: https://doi.org/10.1007/3-540-63460-6_143

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63460-7

  • Online ISBN: 978-3-540-69556-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics