Abstract
It appears that the human visual system does not project the RGB image into separate processing channels. In this sense, our approach uses the compact representation of rotors (quaternions) to process color images. In the experimental part, we compare the rotor color edge detector with standard edge detectors, this shows that our detector behaves as an holistic filter which discriminates edges produced by shadows. We believe that our approach may encourage the design of powerful algorithms for compact color image processing.
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
Bayro-Corrochano E., The geometric algebra of the 2D and 3D kinematics. In Geometric Computing with Clifford Algebra (Gerald Sommer, ed.), Springer-Verlag, Heidelberg, Chap. 14, 2001
Cumani A., Edge detection in multispectral images, CVGIP: Graphical Models and Image Processing 53 (1991), 40–51
Sangwine S.J., Fourier transforms of colour images using quaternion or hypercomplex numbers, Electronic Letters 32(21) (1996), 1979–1980.
Tomasi C, Color edge detection with the compass operator. In IEEE Conference on Computer Vision and Pattern Recognition ’99, Volume 2, June, pp. 160–166, 1999
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bayro-Corrochano, E., Flores, S. (2002). Color Edge Detection Using Rotors. In: Dorst, L., Doran, C., Lasenby, J. (eds) Applications of Geometric Algebra in Computer Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0089-5_29
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0089-5_29
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6606-8
Online ISBN: 978-1-4612-0089-5
eBook Packages: Springer Book Archive