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 quantum 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(kn log N) for nD k-multispectral images. From this point of view the visual cortex of a primates brain can by considered as a Clifford Algebra Superfast Quantum Computer.

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