Abstract
We present in this paper the application of mathematical morphology operators through a transformation of the Cartesian image into another geometric space, i.e. pol-log image. The conversion into polar-logarithmic coordinates as well as the derived cyclic morphology provides satisfying results in image analysis applied to round objects or spheroid-shaped 3D-object models. As an example of application, an algorithm for the shape analysis of the shape of red blood cells is given.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Angulo, J.: Morphologie mathématique et indexation d’images couleur. Application à la microscopie en biomédecine. Ph.D. Thesis, Ecole des Mines de Paris (2003)
Bernardino, A., Santos-Victor, J., Sandini, G.: Model Based Attention Fixation Using Log-Polar Images, Visual Attention Mechanisms. Plenum Press (2002)
Bolduc, M., Levine, M.: A review of biologically motivated space-variant data reduction models for robotic vision. CVIU 69(2), 170–184 (1998)
Bronkorsta, P., Reinders, M.: On-line detection of red blood cell shape using deformable templates. Pattern Recognition Letters 21, 413–424 (2000)
Klossa, J., Flandrin, G., Hemet, J.: Teleslide: better slide representativeness for digital diagnostic microscopy applications (2002)
Lantuejoul, C., Maisonneuve, F.: Geodesic methods in quantitative image analysis. Pattern Recognition 17(2), 177–187 (1984)
Luengo Oroz, M.A.: Morphologie mathématique en coordonnées logarithmique-polaires et méthodes géométriques de classification. Application à l’étude des érythocytes. Master Thesis. Ecole des Mines de Paris (2004)
Meyer, F.: Skeletons and perceptual graphs. Signal Processing 16, 335–363 (1989)
Serra, J.: Image Analysis and Mathematical Morphology, vol. I & II. Academic Press, London (1982, 1988)
Schwartz, E.: Spatial mapping in the primate sensory projection: Analytic structure and relevance to perception. Biological Cybernetics 25, 181–194 (1977)
Vincent, L.: Morphological area openings and closings for grayscale images. In: Proc. NATO Shape in Picture Workshop, Driebergen, Springer, Heidelberg (1992)
Weiman, C., Chaikin, G.: Logarithmic spiral grids for image processing and display. Comp Graphics and Image Proc 11, 197–226 (1979)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Luengo-Oroz, M.A., Angulo, J., Flandrin, G., Klossa, J. (2005). Mathematical Morphology in Polar-Logarithmic Coordinates. Application to Erythrocyte Shape Analysis. In: Marques, J.S., Pérez de la Blanca, N., Pina, P. (eds) Pattern Recognition and Image Analysis. IbPRIA 2005. Lecture Notes in Computer Science, vol 3523. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11492542_25
Download citation
DOI: https://doi.org/10.1007/11492542_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26154-4
Online ISBN: 978-3-540-32238-2
eBook Packages: Computer ScienceComputer Science (R0)