a progressive image display decoder and method of operation for wavelet encoded images achieves reduced memory storage requirements for wavelet transform coefficients and reduced execution time in displaying the image thereby overcoming the limitations of the prior art . conveniently , a wavelet image format , typically djvu iw44 facilitates progressive rendering and smooth scrolling of large color or gray level images with limited memory requirements . the progressive wavelet decoder is composed of two components . the first component decodes the incoming image data and updates an array of wavelet coefficients . the second component applies an inverse wavelet transform to the array of wavelet coefficients for the purpose of reconstructing the image . the operation of the first component is triggered by the incoming compressed image data . the received data is decoded and is used to apply updates to an array of wavelet coefficients . each update improves the accuracy of the coefficients and therefore improves the fidelity of the reconstructed image . the coefficient array is composed of several two - dimensional arrays having one entry corresponding to each 32 × 32 blocks in the image . each entry contains 1024 wavelet coefficients organized as a sparse array with two levels of indirection . the operation of the second component is typically triggered when enough data has been received to display an updated version of the image , or when the user performs an action which requires displaying a new part of the image . in the latter case , the renderer only reconstructs the pixel values for the parts of the image , which are needed . a further reduction of the computation time is obtained by using “ lifting ” for implementing a fast inverse wavelet transform .