Abstract
This paper describes various ways to construct morphological filters. It discusses (inf-)overfilter, (sup-)underfilters, adjunctional filters, annular filters, various kinds of alternating sequential filters, and it explains how to obtain filters through iteration.
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
H. J. A. M. Heijmans. Morphological Image Operators. Academic Press, Boston, 1994.
H. J. A. M. Heijmans. Composing morphological filters. Research Report BS-R9504, CWI, 1995.
H. J. A. M. Heijmans. Self-dual morphological operators and filters. Journal of Mathematical Imaging and Vision, To appear. CWI Research report BS-R9409.
H. J. A. M. Heijmans and C. Ronse. Annular filters. In preparation.
H. J. A. M. Heijmans and J. Serra. Convergence, continuity and iteration in mathematical morphology. Journal of Visual Communication and Image Representation, 3:84–102, 1992.
C. Ronse. Extraction of narrow peaks and ridges in images by combination of local low rank and max filters: implementation and applications to clinical angiography. Working Document WD47, Philips Research Laboratory, Brussels, Belgium, 1988.
C. Ronse. Lattice-theoretical fixpoint theorems in morphological image filtering. Journal of Mathematical Imaging and Vision, 4:19–41, 1994.
C. Ronse and H. J. A. M. Heijmans. The algebraic basis of mathematical morphology — part II: Openings and closings. Computer Vision, Graphics and Image Processing: Image Understanding, 54:74–97, 1991.
D. Schonfeld and J. Goutsias. Optimal morphological pattern restoration from noisy binary images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13:14–29, 1991.
J. Serra, editor. Image Analysis and Mathematical Morphology. II: Theoretical Advances. Academic Press, London, 1988.
J. Serra and L. Vincent. An overview of morphological filtering. Circuits, Systems and Signal Processing, 11:47–108, 1992.
S. R. Sternberg. Grayscale morphology. Computer Vision, Graphics and Image Processing, 35:333–355, 1986.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Heijmans, H.J.A.M. (1996). Morphological Filters for Dummies. In: Maragos, P., Schafer, R.W., Butt, M.A. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0469-2_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0469-2_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8063-4
Online ISBN: 978-1-4613-0469-2
eBook Packages: Springer Book Archive