Improving the accuracy of isotropic granulometries

Pattern Recognition Letters

Volumn 28, Issue 7, 2007, Pages 865-872

  Luengo Hendriks, C L ^a   van Kempen, G M P ^b   van Vliet, L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNILEVER RESEARCH VLAARDINGEN   (Netherlands)

Author keywords

Image analysis; Mathematical morphology; Scale space; Sieve; Size distribution

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; IMAGE ANALYSIS; MATHEMATICAL MORPHOLOGY;

GRANULOMETRY; SCALE-SPACE; SIEVE; SIZE DISTRIBUTION;

SIEVES;

EID: 33847075447     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2006.12.001     Document Type: Article

References (24)

1. Aitchison J., and Brown J.A.C. The Lognormal Distribution (1957), Cambridge University Press, London
2. Alvarez L., and Morel J.M. Morphological approach to multiscale analysis: From principles to equations. In: ter Haar Romeny B.M. (Ed). Geometry-Driven Diffusion in Computer Vision (1994), Kluwer Academic Publishers, Dordrecht 229-254
3. Asano A., Ohkubo T., Muneyasu M., and Hinamoto T. Primitive and point configuration texture model and primitive estimation using mathematical morphology. In: Bigun J., and Gustavsson T. (Eds). SCIA 2003, 13th Scandinavian Conference on Image Analysis. Lecture Notes in Computer Science vol. 2749 (2003), Springer-Verlag, Berlin 178-185
4. Bangham J.A., Campbell T.G., and Aldridge R.V. Multiscale median and morphological filters for 2D pattern recognition. Signal Process. 38 3 (1994) 387-415
5. Bangham J.A., Chardaire P., Pye C.J., and Ling P.D. Multiscale nonlinear decomposition: The sieve decomposition theorem. IEEE Trans. Pattern Anal. Machine Intell. 18 5 (1996) 529-539
6. Brockett R.W., and Maragos P. Evolution equations for continuous-scale morphological filtering. IEEE Trans. Signal Process. 42 12 (1994) 3377-3386
7. Chen M.H., and Yan P.F. A multiscaling approach based on morphological filtering. IEEE Trans. Pattern Anal. Machine Intell. 11 7 (1989) 694-700
8. Dorst L., and van den Boomgaard R. Morphological signal processing and the slope transform. Signal Process. 38 1 (1994) 79-98
9. Jackway P.T., and Deriche M. Scale-space properties of the multiscale morphological dilation-erosion. IEEE Trans. Pattern Anal. Machine Intell. 18 1 (1996) 38-51
10. Jones R., and Soille P. Periodic lines: Definition, cascades, and application to granulometries. Pattern Recognition Lett. 17 10 (1996) 1057-1063
11. Keys R.G. Cubic convolution interpolation for digital image processing. IEEE Trans. Acoust. Speech Signal Process. 29 6 (1981) 1153-1160
12. Maragos P. Pattern spectrum and multiscale shape representation. IEEE Trans. Pattern Anal. Machine Intell. 11 7 (1989) 701-716
13. Maragos P., 1994. Differential morphology: Multiscale image dynamics, max-min difference equations, and slope transforms. In: Proc. ICIP-94, IEEE Internat. Conf. on Image Process., vol. 2, pp. 545-549.
14. Matheron G. Random Sets and Integral Geometry (1975), Wiley, New York
15. Nyquist H. Certain topics in telegraph transmission theory. Trans. AIEE (1928) 617-644 (Reprinted in: Proceedings of the IEEE, vol. 90, no. 2, pp. 280-305, February 2002)
16. Park K.R., and Lee C.N. Scale-space using mathematical morphology. IEEE Trans. Pattern Anal. Machine Intell. 18 11 (1996) 1121-1126
17. Sapiro G., Kimmel R., Shaked D., Kimia B., and Bruckstein A.M. Implementing continuous-scale morphology via curve evolution. Pattern Recognition 26 9 (1993) 1363-1372
18. Shannon C.E. Communication in the presence of noise. Proc. IRE 37 1 (1949) 10-21 (Reprinted in: Proceedings of the IEEE, vol. 86, no. 2, pp. 447-457, February 1998)
19. Soille P. Morphological Image Analysis: Principles and Applications. second ed. (2003), Springer, Berlin
20. Tscheschel A., Stoyan D., and Hilfer R. Erosion-dilation analysis for experimental and synthetic microstructures of sedimentary rock. Physica A 284 (2000) 46-58
21. van den Boomgaard R., and Smeulders A. The morphological structure of images: The differential equations of morphological scale-space. IEEE Trans. Pattern Anal. Machine Intell. 16 11 (1994) 1101-1113
22. van Droogenbroeck M., and Talbot H. Fast computation of morphological operations with arbitrary structuring elements. Pattern Recognition Lett. 17 14 (1996) 1451-1460
23. van Vliet L.J., Verbeek P.W., and Young I.T. Quantitative imaging: How to measure size features in digitized images. In: Denney T. (Ed). ISBI'04: Proc. IEEE Int. Symp. Biomedical Imaging: From Nano to Macro (Arlington, VA, April 15-18) (2004), IEEE Press, Piscataway 1227-1230
24. Vogt R.C. Morphological operator distributions based on monotonicity and the problem posed by digital disk-shaped structuring elements. In: Juday R.D. (Ed). Digital and Optical Shape Representation and Pattern Recognition. SPIE Proceedings vol. 938 (1988), SPIE, Bellingham, WA 1019-1022