Abstract
This paper deals with the notion of connected operators. These operators are becoming popular in image processing because they have the fundamental property of simplifying the signal while preserving the contour information. In this paper, we discuss some practical approaches for the extension and the generalization of these operators. We focus on two important issues: the simplification criterion and the connectivity. We present in particular complexity- and motion-oriented connected operators. Moreover, we discuss the creation connectivities that are either more or less strict than the usual ones.
This work was supported in part by the CICYT of the Spanish government: TIC95-1022-C05
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.
Similar content being viewed by others
References
J. Crespo. Morphological Connected Filters and Intra-region Smoothing for Image Segmentation. PhD thesis, Georgia Institute of Technology, 1993.
M. Grimaud. A new measure of contrast: the dynamics. In SPIE, editor, Visual Communications and Image Processing’92, volume 1769, pages 292–305, San Diego (CA), USA, July 1992.
H. Heijmans. Theoretical aspects of gray level morphology. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(6):568–592, 1991.
J.C. Klein. Conception et réalisation d’une unité logique pour l’analyse quantitative d’images. PhD thesis, Nancy University, France, 1976.
C. Lantuejoul and F. Maisonneuve. Geodesic methods in image analysis. Pattern Recognition, 17(2):117–187, 1984.
P. A. Maragos and R. W. Schafer. Morphological filters -part I: Their set-theoretic analysis and relations to linear shift-invariant filters. IEEE Transactions on Acoustics, Speech and Signal Processing, 35(8):1153–1169, August 1987.
F. Meyer and S. Beucher. Morphological segmentation. Journal of Visual Communication and Image Representation, 1(1):21–46, September 1990.
A. Oliveras and P. Salembier. Generalized connected operator. In SPIE, editor, Visual Communication and Image Processing, VCIP’96, volume 2727, Orlando (FL), USA, March 1996.
C. Ronse. Set-theoretical algebraic approaches to connectivity in continuous or digital spaces. Technical report, Université Louis Pasteur, 1995.
P. Salembier and M. Kunt. Size-sensitive multiresolution decomposition of images with rank order based filters. EURASIP Signal Processing, 27(2):205–241, May 1992.
P. Salembier and J. Serra. Flat zones filtering, connected operators and filters by reconstruction. IEEE Transactions on Image Processing, 3(8):1153–1160, August 1995.
J. Serra. Image Analysis and Mathematical Morphology, Vol II: Theoretical advances. Academic Press, 1988.
J. Serra and P. Salembier. Connected operators and pyramids. In SPIE, editor, Image Algebra and Mathematical Morphology, volume 2030, pages 65–76, San Diego (CA), USA, July 1993.
L. Vincent. Grayscale area openings and closings, their efficient implementation and applications. In J. Serra and P. Salembier, editors, First Workshop on Mathematical Morphology and its Applications to Signal Processing, pages 22–27, Barcelona, Spain, May 1993. UPC.
L. Vincent. Morphological gray scale reconstruction in image analysis: Applications and efficients algorithms. IEEE, Transactions on Image Processing, 2(2):176–201, April 1993.
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
Salembier, P., Oliveras, A. (1996). Practical Extensions of Connected Operators. 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_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0469-2_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8063-4
Online ISBN: 978-1-4613-0469-2
eBook Packages: Springer Book Archive