IMAGE PROCESSING, PATTERN RECOGNITION

Generalized discrete orthogonal sine-cosine transform

M. S. Kasparyan<sup>ab

a</sup> Samara State Aerospace University
^b Image Processing Systems Institute, Russian Academy of Sciences

Abstract: We introduce a generalized sine-cosine transform (GSCT). Analytical conditions of orthogonality of these transformations are derived. A theorem that allows one to find the relation between the GSCT coefficients in the orthogonal case is proven. Fast algorithms for computing the GSCT are considered and their complexity is analyzed.

Keywords: orthogonal transforms, sine-cosine transform, fast algorithms.

Received: 11.11.2014