IMAGE PROCESSING, PATTERN RECOGNITION

Fractal discrete cosine transform on pre-fractal domains associated with fundamental domains of canonical number systems

M. S. Kasparyan<sup>ab

a</sup> S.P. Korolyov Samara State Aerospace University (National Research University)
^b Image Processing Systems Institute of the Russian Academy of Sciences

Abstract: Introduce an analog cosine transform on the pre-fractal region. From fractal discrete Fourier transform output discrete cosine transform on two-dimensional domains associated with the fundamental domains of number systems in imaginary quadratic rings. It is shown that this transformation is orthogonal.

Keywords: orthogonal transforms, fractal, canonical number system, cosine transform.

Received: 29.12.2013