Abstract
Mathematical Morphology is a powerful non-linear image analysis techniques based on lattice theory. The definitions of morphological operators need an ordered lattice algebraic structure. In order to apply these operators to the colour images it is required, on one hand the choice of a suitable colour space representation and on the other hand, to establish an order in the colour space providing an ordered lattice algebraic structure. The HSI space represents the colour in terms of physical attributes that separate the achromatic component from the chromatic one and it yields a more intuitive description of the colour properties than the RGB space. The suggested order weighs the hue and the intensity according to the saturation level: it has a lexicographical order in which the intensity has priority if the saturation is high, and the hue has priority if the saturation is low.
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
Matheron, G.: Random Sets and Integral Geometry. Wiley, New York (1975)
Serra, J.: Mathematical Morphology, Theoretical Advances, vol. 2. Academic Press, San Diego (1988)
Bourbaki, N.: Théorie des Ensembles; Élements de Mathématique. Hermann, Paris (1977)
Hanbury, A., Serra, J.: A 3D-Polar Coordinate Colour Representation Suitable for Image Analysis. Technical report, PRIP-TR-077, TU Wien (2002)
Hanbury, A., Serra, J.: Colour Image Analysis in 3D-Polar Coordinates. Pattern Reccognition and Image Processing Group, Vienna
Hanbury, A.: The Taming of the Hue, Saturation and Brightness Colour Space. Rapport Technique N-28/02/MM, CMM-École des Mines de Paris (2002)
Peters II, R.A.: Mathematical Morphology for Angle-value Images. In: Image Procesing VIII. SPIE, vol. 3026 (1997)
Hanbury, A.: Morphologie Mathématique sur le Cercle Unité avec Applications aux Teintes et aux Texturas Orientées. Thése doctorale, Centre de Morphologie Mathématique, École des Mines, Paris (2002)
Angulo, J.: Morphologie Mathématique et Indexation D’Images Couleur. Aplication á la Microscopie en Biomédecine. Ph.D. Thése doctorale, Centre de Morphologie Mathématique, École des Mines, Paris (2003)
Angulo, J., Serra, J.: Morphological Coding of Color Images by Vector Conected Filters. In: 7 th International Symposium on Signal Processing and its Applications (ISSPA’03), vol. 1, pp. 69–72. IEEE, Los Alamitos (2003)
Hanbury, A.: Lexicographical Order in the HLS Colour Space. Technical report N-04/01/MM, Centre de Morphologie Mathematique. École des Mines de Paris (2001)
Ortiz, F., Torres, F., Angulo, J., Puente, S.: Comparative Study of Vectorial Morphological Operations in Different Color Spaces. In: Intellegent Robots and Computer Vision XX; Algorithms, Techniques, and Active Vision. SPIE, vol. 4572 (2001)
Ortiz, F., Torres, F., Juan, E., de Cuenca, N.: Colour Mathematical Morphology for Neural Image Análisis. Real Time Imaging 8, 455–465 (2002)
Tobar, M.C., Platero, C., Sanguino, J., Asensio, G.: Estudio Comparativo de Órdenes en los Espacios de Color para su Aplicación en Morfología Matemática. XXVII Jornadas de Automática, Almería (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Tobar, M.C., Platero, C., González, P.M., Asensio, G. (2007). Mathematical Morphology in the HSI Colour Space. In: Martí, J., Benedí, J.M., Mendonça, A.M., Serrat, J. (eds) Pattern Recognition and Image Analysis. IbPRIA 2007. Lecture Notes in Computer Science, vol 4478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72849-8_59
Download citation
DOI: https://doi.org/10.1007/978-3-540-72849-8_59
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72848-1
Online ISBN: 978-3-540-72849-8
eBook Packages: Computer ScienceComputer Science (R0)