Abstract
In many practical areas of visual pattern recognition the images are complex-valued. Examples include images generated from 2-dimensional colour, motion, radar and laser sensors. To this date the majority of encoding and matching schemes for such images do not treat the complex nature of the data in a unified way but, rather, separate the associated “channels” and combine them after processing each image attribute. In this paper we describe a technique which utilizes properties of the complex Fourier transform of complex images and develop new types of complex filters for colour and shape specific feature extraction and pattern matching. Results are encouraging particularly under quite noisy conditions.
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References
M. Das, E. M. Riseman, and B. A. Draper. Focus: Searching for multi-colored objects in a diverse image. In Compter Vision and Pattern Recognition 97, pages 756–761, 1997.
J. Huang, S. R. Kumar, M. Mitra, W. Zhu, and R. Zabih. Image indexing using color correlograms. In Computer Vision and Pattern Recognition 97, pages 762–768, 1997.
C. J. Evans, S. J. Sangwine, and T. A. Ell. Hypercomplex color-sensitive smoothing filters. In IEEE International Conference on Image Processing, volume 1, pages 541–544, September 2000.
D. Carevic and T. Caelli. Region-based coding of colour images using Karhunen-Loève transform. Graphical Models and Image Processing, 59(1):27–38, 1997.
S. J. Sangwine. Fourier transforms of colour images using quaternion or hypercomplex numbers. Electronics Letters, 32(21):1979–1980, 1996.
T. Caelli and D. Reye. On the classification of image regions by colour, texture and shape. Pattern Recognition, 26(4):461–470, 1993.
A. McCabe, T. Caelli, G. West, and A. Reeves. A theory of spatio-chromatic image encoding and feature extraction. The Journal of the Optical Society of America A., 2000. In Press.
CIE. Colorimetry. Technical Report 15.2-1986, CIE-International Commission on Illumination, Vienna, 1986. Second edition 1996.
J. D. Gaskill. Linear Systems, Fourier Transforms and Optics. John Wiley & Sons, New York, 1978.
Jae S. Lim. Two-dimensional Signal and Image Processing. Prentice-Hall Inc., New Jersey, 1990.
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© 2001 Springer-Verlag Berlin Heidelberg
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Caelli, T., McCabe, A. (2001). Complex Images and Complex Filters: A Unified Model for Encoding and Matching Shape and Colour. In: Singh, S., Murshed, N., Kropatsch, W. (eds) Advances in Pattern Recognition — ICAPR 2001. ICAPR 2001. Lecture Notes in Computer Science, vol 2013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44732-6_33
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DOI: https://doi.org/10.1007/3-540-44732-6_33
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