Abstract
Atomic Functions are widely used in different applications in image processing, pattern recognition, computational physics and also in the digital interpretation of signal measurements. The main contribution of this work is to develop a Quaternionic Atomic Function Wavelet as a new quaternionic image wavelet transform. This filter have a real part and three imaginary parts (i,j,k) of the Quaternion Atomic Function, as a result we can extract more information from the image by the three phases (φ,θ, ϕ) of the quaternion representation. The experimental part shows clearly that the phase information of the image is not afected by illumination changes.
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Kravchenko, V.F., Perez-Meana, H.M., Ponomaryov, V.I.: Adaptive digital processing of multidimensional signals with applications. MOSCOW FIZMATLIT, MOSCOW (2009)
Bayro-Corrochano: Geometric Computing for Wavelet Transforms, Robot Vision, Learning, Control and Action. Springer, London (2010)
Bülow, T.: Hypercomplex Spectral Signal Representations for the Processing and Analysis of Images. Christian- Albert, Kiel University, Ph.D Thesis (1999)
Jähne, B.: Digital Image Processing. Springer, Germany (2002)
Kovesi, P.: Invariant measures of images features from phase information. University of Western Australia, PhD Thesis (1996)
Guyaev Yu, V., Kravchenko, V.F.: A New class of WA-Systems of Kravchenko-Rvachev Functions. MOSCOW Doklady Mathematics 75(2), 325–332 (2007)
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Moya-Sánchez, E.U., Bayro-Corrochano, E. (2010). Quaternion Atomic Function Wavelet for Applications in Image Processing. In: Bloch, I., Cesar, R.M. (eds) Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications. CIARP 2010. Lecture Notes in Computer Science, vol 6419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16687-7_47
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DOI: https://doi.org/10.1007/978-3-642-16687-7_47
Publisher Name: Springer, Berlin, Heidelberg
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