Enhancing an image’s compression while keeping quality standards utilizing new mathematical technology

The rapid development of technology led to the need keep pace with it, especially in field image processing, because its importance get better results. In this paper, new discrete Chebyshev wavelet transforms (DChWT) derived from polynomials (ChP) were proposed and characterized. terms orthogonality approximation (convergence) mathematics, qualified transform into wavelets called (DChWT), depending on mother function operators (s, r), used processing analyze them low filter high so that is analyzed coefficients. Proximity detail coefficients, which lead dividing four parts, left (LL), proximity coefficients are concentrated while rest parts centered (HL), right (LR), (HR), compression through filter, has proven efficiency at level (8) our results work reached calculating quality standards obtained after process comparing using standard HaarSymlet 2, Conflict Daubecheis 2. most important these a mean square error (MSE), peak signal-to-noise ratio (PSNR), bit per pixel (BPP), (CR), table one. explained adding it MATLAB according specific program drop basic take their role tasks area, like artificial intelligence