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In this paper, two different Wavelet based Image Compression techniques are compared. The techniques involved in the comparison process are WDR and ASWDR. The above two techniques are implemented with different types of wavelet codecs. Wavelet difference reduction (WDR) has recently been proposed as a method for efficient embedded image coding. This method retains all of the important features like low complexity, region of interest, embeddedness, and progressive SNR. ASWDR adapts the scanning procedure used by WDR in order to predict locations of significant transform values at half thresholds. Here, there are two types of Wavelet transforms are applied on the images before compression. They are DD 2+ 2, 2 Integer Wavelet transform and Daub 9/7 Wavelet transform. The quality of the reconstructed images is calculated by using three performance parameters PSNR, MSE and SNE values. The images yield high PSNR values and low MSE values.