Abstract
In the paper an approach to combining dual morphological operators: erosion/dilation and opening/closing is discussed. It is based on the morphological interpolation by means of a median set. The boundary of such a set is located halfway between the boundaries of sets that are results of dual operators. The proposed combination of dual morphological operators by median set is an self-dual morphological operator able to process both foreground and background image details in the same way. An application of the discussed approach to binary image enlargement is presented in the paper as well.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Erosion and opening are anti-extensive while dilation and closing are extensive.
References
Beucher, S.: Interpolation of sets, of partitions and of functions. In: Heijmans, H., Roerdink, J. (eds.) Mathematical Morphology and its Application to Image and Signal Processing. Kluwer Academic Publishers (1998)
Iwanowski, M., Serra, J.: Morphological interpolation and color images. In: Proceedings of 10th International Conference on Image Processing, ICIAP 1999, 27–29 September 1999, Venice, Italy, pp. 50–55. IEEE, September 1999
Iwanowski, M., Serra, J.: The morphological-affine object deformation. In: Goutsias, J., Vincent, L., Bloomberg, D. (eds.) Mathematical Morphology and its Applications to Signal and Image Processing, pp. 81–90. Kluwer Academic Publishers, Boston (2000)
Meyer, F.: A morphological interpolation method for mosaic images. In: Maragos, P., Schafer, R., Butt, M. (eds.) Mathematical Morphology and its Applications to Image and Signal Processing, pp. 337–344. Kluwer Academic Publishers, Boston (1996)
Salembier, P., Garrido, L., Garcia, D.: Auto-dual connected operators based on iterative merging algorithms. In: Proceedings of the International Symposium on Mathematical Morphology and its Applications to Image and Signal Processing, pp. 183–190 (1998)
Serra, J.: Hausdorff distance and interpolations. In: Heijmans, H., Roerdink, J. (eds.) Proceedings of the Fourth International Symposium on Mathematical Morphology and its Applications to Image and Signal Processing, pp. 107–114. Kluwer Academic Publishers (1998)
Serra, J.: Image Analysis and Mathematical Morphology, vol. 1. Academic Press, London (1982)
Serra, J. (ed.): Image Analysis and Mathematical Morphology. II: Theoretical Advances, vol. 2. Academic Press, London (1988)
Soille, P.: Beyond self-duality in morphological image analysis. Image Vis. Comput. 23(2), 249–257 (2005)
Soille, P.: Generalized geodesic distances applied to interpolation and shape description. In: Serra, J., Soille, P. (eds.) Mathematical Morphology and its Applications to Image and Signal Processing, pp. 193–200. Kluwer Academic Publishers, Netherlands (1994)
Soille, P.: Morphological Image Analysis: Principles and Applications, 2nd edn. Springer, Berlin (2003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Iwanowski, M. (2017). On Combining Dual Morphological Binary Operators Using Median Set. In: ChoraÅ›, R. (eds) Image Processing and Communications Challenges 8. IP&C 2016. Advances in Intelligent Systems and Computing, vol 525. Springer, Cham. https://doi.org/10.1007/978-3-319-47274-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-47274-4_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47273-7
Online ISBN: 978-3-319-47274-4
eBook Packages: EngineeringEngineering (R0)