Abstract
In this paper we present a method for constructing self-dual grey-scale image operators from arbitrary morphological operators defined on what we call fold-space. We call this class of self-dual operators folding induced self-dual filters (FISFs). We show examples of their application to noise filtering.
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
V. Barnett. The ordering of multivariate data. Journal Of The Royal Statistical Society Series A, 139(3):318–354, 1976.
G. Birkhoff. Lattice Theory, volume 25 of American Mathematical Society Colloquium Publications. American Mathematical Society, New York, revised edition, 1948.
C. J. Evans, I. D. Svalbe, and R. Jones. Nonlinear image processing using alternative orderings. In B. I. Chaplin and W. H. Page, editors, DICTA’97 and IVCNZ’97 Proceedings of the first joint Australia and New Zealand biennial conference on: Digital Image & Vision Computing—Techniques and Applications, pages 177–182, Palmerston North, New Zealand, Dec. 1997. Massey University. ISBN:0-473-04947-3.
R. C. Gonzalez and R. E. Woods. Digital Image Processing. Addison-Wesley, Reading, Massachusetts, 1992.
H. Heijmans. Self-dual morphological operators and filters. Journal of Mathematical Imaging and Vision, 6:15–36, 1996.
H. Heijmans and C. Ronse. Annular filters for binary images. IEEE Transactions on Image Processing, 8(10):1330–1340, 1999.
H. J. Heijmans. Morphological Image Operators. Academic Press, London, 1994.
H. J. Heijmans. On the construction of morphological operators which are self-dual and activity-extensive. Signal Processing, 38: 13–19, 1994.
R. Kresch. Extension of morphological operations to complete semilattices and its applications to image and video processing. In H. Heijmans and J. Roerdink, editors, Mathematical Morphology and its Applications to Image and Signal Processing, volume 12 of Computational Imaging and Vision, pages 35–42, Dordrecht, The Netherlands, 1998. Kluwer Academic Publishers.
J. Serra. Image Analysis and Mathematical Morphology. Academic Press, London, 1982.
J. Serra, editor. Image Analysis and Mathematical Morphology. Volume 2: Theoretical. Advances. Academic Press, London, 1988.
J. Serra and L. Vincent. An overview of morphological filtering. Circuits, Systems and Signal Processing, 11(1):47–108, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic/Plenum Publishers
About this chapter
Cite this chapter
Mehnert, A.J.H., Jackway, P.T. (2002). Folding Induced Self-Dual Filters. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 18. Springer, Boston, MA. https://doi.org/10.1007/0-306-47025-X_12
Download citation
DOI: https://doi.org/10.1007/0-306-47025-X_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-7862-4
Online ISBN: 978-0-306-47025-7
eBook Packages: Springer Book Archive