Multimedia information and digital nature data has increased drastically within few span of years tend to make a necessity of image compression as it reduces the irrelevant and redundant data for the transmission. Over the last two decades, image compression based on wavelet has been developed and this method has the advances of bit-level and continuous compression, supercilious low-bit rate performance, lossless and lossy image compression, transmission by pixel in progressive manner high resolution, increase in compression ratio. The highest perceptual quality and lowest error per compression rate are achieved by Embedded Zerotree Wavelet algorithm; Set Partitioning in Hierarchical Tree, Set Partitioned Embedded Block algorithm, Wavelet Difference Reduction and the Adaptive Scanned Wavelet Difference Reduction algorithms are scrutinized in this paper.