Abstract
We propose a novel method to calculate invariants of color and multicolor nD images. It employs an idea of multidimensional hypercomplex numbers and combines it with the idea of Fourier-Clifford-Galois Number Theoretical Transforms over hypercomplex algebras, which reduces the computational complexity of a global recognition algorithm from \( O(knN^{n + 1} ) \) to \( O(knN^n \log N) \) for nD k-multispectral images. Prom this point of view the visual cortex of a animal’s brain can by considered as a “Fast Clifford Algebra Quantum Computer”.
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References
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Labunets, V., Labunets-Rundblad, E., Astola, J. (2001). Is the Visual Cortex a “Clifford Algebra Quantum Computer”?. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_17
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DOI: https://doi.org/10.1007/978-94-010-0862-4_17
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