Abstract
Filtering by morphological operations is particularly suited for removing clutter and noise objects which have been introduced into noiseless binary images containing shapes of interest. Morphological filtering is designed to exploit differences in the spatial nature (shape, size, orientation) of the objects (connected components) in the ideal noiseless images as compared to the noise/clutter objects. Since the typical noise models (union, intersection set difference, etc.) for binary images are not additive, the morphological processing is strongly nonlinear, optimal filtering results conventionally available for linear processing in the presence of additive noise are not directly applicable to morphological filtering of binary images. After morphological filtering for clutter reduction recognition can begin.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Haralick, R.M., E.R. Dougherty, and P. Katz, “Model-Based Morphology,” Proc. SPIE, Vol. 1472, Orlando, April 1991.
Serra, J., Image Analysis and Mathematical Morphology, Academic Press, New York, 1983.
Haralick, R.M., S. Sternberg, and X. Zhuang, “Image Analysis Using Mathematical Morphology,” IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 9, No. 4, 1987.
Dougherty, E.R., and C.R. Giardina, Image Processing: Continuous to Discrete, Prentice-Hall, Englewood Cliffs, 1987.
Giardina, C.R., and E.R. Dougherty, Morphological Methods In Image and Signal Processing, Prentice-hall, Englewood Cliffs, 1988.
Matheron, G., Random Sets and Integral Geometry, John Wiley, New York, 1975.
Serra, J., “Introduction to Morphological Filters”, in Image Analysis and Mathematical Morphology, Vol. 2, ed. J. Serra, Academic Press, New York, 1988.
Ronse, C., and H.J. Heijmans, “The Algebraic Bass of Mathematical Morphology, Part II: Openings and Closings,” Centrum voor Wiskunde en Informatica, Report AM-R8904, 1989.
Sand, F., and E.R. Dougherty, “Statistics of the Morpholigical Pattern-Spectrun Moments for a Random-Grain Model,” Morphological Imaging Laboratory Report MIL-91-02, Rochester Institute of Technology, Rochester, 1991 (submitted for publication).
Dougherty, E.R., “Optimal Mean-Square N-Observation Digital Morphological Filters — Part I: Optimal Binary Filters,” Morphological Imaging Laboratory Report MIL-90-02, Rochester Institute of Technology, Rochester, NY (to appear in CVGIP: Image Understanding).
Dougherty, E.R., “Optimal Mean-Square N-Observation Digital Morphological Filters — Part II: Optimal Gray-Scale Filters,” Morphological Imaging Laboratory Report MIL-90-03, Rochester Institute of Technology, Rochester, 1990 (to appear in CVGIP: Image Understanding).
Dougherty, E.R., “The Optimal Mean-Square Digital Binary Morphological Filter,” SPSE 43d Annual Conference, Rochester, May 1990.
Dougherty, E.R., and R.P. Loce, “Constrained Optimal Digital Morphological Filters,” Proc. 25th Annual Conference on Information Sciences and Systems, Baltimore, March 1991.
Dougherty, E.R., A. Mathew, and V. Swarnakar, “A Conditional Expectation Based Implementation of the Optimal Mean-Square Binary Morphological Filter, Proc. SPIE, Vol. 1451, San Hose, February 1991.
Sternberg, S.R., “Morphology for Grey Tone Functions,” Computer Vision, Graphics, and Image Processing, Vol. 35, 1986.
Lougheed, R., “Lecture Notes for Summer Course in Mathematical Morphology”, University of Michigan, Ann Arbor, 1983.
Serra, J., “Alternating Sequential Filter”, in Image Analysis and Mathematical Morphology, Vol. 2, éd. J. Serra, Academic Press, New York, 1988.
Schonfeld, D., and J. Goutsias, “Optimal Morphological Filters for Pattern Restoration,” Proc. SPIE, Vol. 1199, Philadelphia, 1989.
Schonfeld, D., and J. Goutsias, “Optimal Morpholigical Pattern Recognition from Noisy Binary Images,” IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 13, No. 1, January 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Haralick, R.M. (1992). Model-Based Morphology: Simple and Complex Shapes. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0715-8_27
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0715-8_27
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0717-2
Online ISBN: 978-1-4899-0715-8
eBook Packages: Springer Book Archive