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Usually the image obtained from a sensor is blurred by noise. Such noises are identified and eliminated by the procedure called denoising. The cross breed (Hybrid) algorithm is a popular technique that has been utilized recently. The Discrete Cosine Transformation (DCT) and Discrete Wave Transformation (DWT) are the generally utilized transform in which discrete cosine transformation requires less energy and computation resource and discrete wavelet transformation has multiple transformations. This Hybrid Algorithm combines the twin benefits of both the transformation and thus eliminates the negative contour and blocks the traces completely. The effectiveness of the proposed hybrid Algorithm is verified with different pictures by finding the average Squared Blunder, PSNR, Variance, architectural resemblance Index and average architectural resemblance Index.