A zerotree image-coding scheme is introduced that effectively exploits the
inter-scale self-similarities found in the octave decomposition by a wavele
t transform. A zerotree is useful for efficiently coding wavelet coefficien
ts; its efficiency was proved by Shapiro's EZW. In the EZW coder, wavelet c
oefficients are symbolized, then entropy-coded far further compression. In
this paper, we analyze the symbols produced by the EZW coder and discuss th
e entropy for a symbol. We modify the procedure used for symbol-stream gene
ration to produce lower entropy. First, we modify the fixed relation betwee
n a parent and children used in the EZW coder to raise the probability that
a significant parent has significant children. The modified relation is fl
exibly modified again based on the observation that a significant coefficie
nt is more likely to have significant coefficients in its neighborhood. The
three relations are compared in terms of the number of symbols they produc
e.