Abstract
In this paper we have constructed a new hybrid transform. We have combined the DCT block and the Haar block into one block which we have called hybrid DCT-HAAR block. This new block combines the advantages of the DCT which works extremely well for highly correlated data and the advantages of the Haar transform which gives superior results for images exhibiting rapid gradient variations. The DCT is applied to the upper left corner of the block. The Haar is applied to the remaining parts of the block. We derived the equations of the matrix M needed to recover the hybrid block. Our method increased the PSNR obtained by the DCT transform and enhanced the edge recovery of the Haar transform.
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