A new method for the model-independent assessment of thickness in three-dimensional images

Journal of Microscopy

Volumn 185, Issue 1, 1997, Pages 67-75

  Hildebrand, T ^a   Ruegsegger P ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Distance transformation; Mean thickness; Micro CT; Stereology; Structural parameters; Thickness distribution; Three dimensional morphometry; Trabecular bone structure

Indexed keywords

BONE; PARAMETER ESTIMATION; THICKNESS CONTROL; THICKNESS MEASUREMENT;

DISTANCE TRANSFORMATION; MEAN THICKNESS; MICRO CT; MORPHOMETRY; STEREOLOGY; STRUCTURAL PARAMETER; STRUCTURE MODELS; THICKNESS DISTRIBUTIONS; THREE-DIMENSIONAL MORPHOMETRY; TRABECULAR BONE STRUCTURES;

COMPUTERIZED TOMOGRAPHY;

ARTICLE; HUMAN; HUMAN TISSUE; MORPHOMETRICS; PRIORITY JOURNAL; STEREOLOGY; TRABECULAR BONE;

EID: 0031020931     PISSN: 00222720     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2818.1997.1340694.x     Document Type: Article

References (31)

1. Borgefors, G. (1984) Distance transformation in arbitrary dimensions. Comp. Vision. Graphics. Image Process. 27, 321-345.
2. Cruz-Orive, L.M. (1979) Estimation of sheet thickness distribution from linear and plane sections. Biomed. J. 21, 717-730.
3. Cruz-Orive, L.M. & Weibel, E.R. (1990) Recent stereological methods for cell biology: a brief survey. Am. J. Physiol. 258, L148-L156.
4. Danielsson, P.E. (1980) Euclidean distance mapping. Comp. Graphics Image Process. 14, 227-248.
5. Feldkamp, L.A., Goldstein, S.A., Parfitt, A.M., Jesion, G. & Kleerekoper, M. (1989) The direct examination of three-dimensional bone architecture in vitro by computed tomography. J. Bone Min. Res. 4, 3-11.
6. Garrahan, N.J., Mellish, R.W.E., Vedi, S. & Compston, J.E. (1987) Measurement of mean trabecular plate thickness by a new computerized method. Bone, 8, 227-230.
7. Goldak, J.A., Xinhua, Y., Knight, A. & Lingxian, D. (1991) Constructing discrete medial axis of 3-d objects. Int. J. Comput. Geom. Appl. 1, 327-339.
8. Guilak, F. (1994) Volume and surface area of viable chondrocytes in situ using geometric modeling of serial confocal sections. J. Microsc. 173, 245-256.
9. Gundersen, H.J.G. (1977) Notes on the estimation of the numerical density of arbitrary profiles: the edge effect. J. Microsc. 111, 219-223.
10. Gundersen, H.J.G., Bagger, P., Bendtsen, T.F., Evans, S.M., Korbo, L., Marcussen, N., Møller, A., Nielsen, K., Nyengaard, J.R., Pakkenberg, B., Sørensen, F.B., Vestersby, A. & West, M.J. (1988a) The new stereological tools: disector, fractinator, nucleator and point sampled intercepts and their use in pathological research and diagnosis. APMIS, 96, 857-881.
11. Gundersen, H.J.G., Bendtsen, T.F., Korbo, L., Marcussen, N., Møller, A., Nielsen, K., Nyengaard, J.R., Pakkenberg, B., Sørensen, F.B., Vestersby, A. & West, M.J. (1988b) Some new, simple and efficient stereological methods and their use in pathological research and diagnosis. APMIS, 96, 379-394.
12. Gundersen, H.J.G., Jensen, T.B. & Østerby, R. (1978) Distribution of membrane thickness determined by lineal analysis. J. Microsc. 113, 27-43.
13. Harrigan, T.P. & Mann, R.W. (1984) Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J. Mater. Sci. 19, 761-767.
14. Jara, H., Wehrli, F.W., Chung, H. & Ford, J.C. (1993) High-resolution variable flip angle 3D, MR imaging of trabecular microstructure in vivo. Magn. Reson. Med. 29, 528-539.
15. Jensen, E.B., Gundersen, H.J.G. & Østerby, R. (1979) Determination of membrane thickness distribution from orthogonal intercepts. J. Microsc. 115, 19-33.
16. Kinney, J.H., Lane, N.E. & Haupt, D.L. (1995) In vivo, three-dimensional microscopy of trabecular bone. J. Bone Miner. Res. 10, 264-270.
17. Müller, R., Hildebrand, T. & Rüegsegger, P. (1994) Non-invasive bone biopsy: a new method to analyse and display the three-dimensional structure of trabecular bone. Phys. Med. Biol. 39, 145-64.
18. Odgaard, A. & Gundersen, H.J.G. (1993) Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions. Bone, 14, 173-182.
19. Odgaard, A., Jensen, E.B. & Gundersen, H.J.G. (1990) Estimation of structural anisotropy based on volume orientation. A new concept. J. Microsc. 157, 149-162.
20. Rüegsegger, P., Koller, B. & Müller, R. (1996) A microtomographic system for the non-destructive evaluation of bone architecture. Calcif. Tiss. Int. 58, 24-29.
21. Saito, T. & Toriwaki, J.I. (1994) New algorithms for euclidean distance transformation of an n-dimensional digitized picture with applications. Pattern Recognition, 27, 1551-1565.
22. Sandau, K. (1993) An estimation procedure for the joint distribution of spatial direction and thickness of flat bodies using vertical sections, Part I: theoretical considderations. Biomed. J. 35, 649-660.
23. Serra, J. (1988) Image Analysis and Mathematical Morphology. Vol. 2. Academic Press, London.
24. Stenberg, S.R. (1980) Language and architecture for parallel image processing. Pattern Recognition in Practice (ed. by E. S. Gelsema and L. N. Kanal), pp. 35-44. North-Holland, Amsterdam.
25. Weibel, E.R. (1963) Principles and methods for the morphometric study of the lung and other organs. Lab. Invest. 12, 131-155.
26. Weibel, E.R. (1980) Stereological Methods. Vol. 2: Theoretical Foundations. Academic Press, London.
27. Weibel, E.R. & Knight, B.W. (1964) A morphometric study on the thickness of pulmonary air-blood barrier. J. Cell Biol. 21, 367-384
28. Whitehouse, W.J. (1974) The quantitative morphology of anisotropic trabecular bone. J. Microsc. 101, 153-168.
29. Wijnaends van Resandt, R.W., Marsman, H.J.B., Kaplan, R., Davoust, J., Stelzer, E.K.H. & Stricker, R. (1985) Optical fluorescence microscopy in three dimensions: microtomoscopy. J. Microsc. 138, 29-34.
30. Wilson, T. (ed.) (1990) Confocal Microscopy, pp. 1-60. Academic Press, London.
31. Yamada, H. (1984) Complete euclidean distance transformation by parallel operation. Proc. 7th Int. Conf. on Pattern Recognition, Canada, pp. 69-71. IEEE Computer Society Press. Silver Spring. MD, U.S.A.