
162 Image and Video Compression
Most of the coefcients in the ner scales of the wavelet domain have
extremely small values. Such coefcients can be rounded to zero or thresh-
olding can be applied to them to obtain the k-sparse representation (i.e., the
signal will have only k nonzero coefcients). When measuring the delity
error during signal reconstruction in terms of least square error (LSE) sense,
such a process of thresholding coefcients results in the best approximation.
Such a signal is represented in terms of k basis functions. Figure8.6 repre-
sents an original image and its k coefcients approximation reconstructed
version. In t ...