Statistical context modelling is a powerful and versatile technique for los
sless image coding. A key issue in context modelling is how to increase the
order of model without drastically increasing the model cost. We take an a
lgorithmic approach to address the issue and propose a few heuristical opti
mization techniques that fine tune models of relatively few parameters in t
he sense of entropy minimization. Our experimental results indicate that th
ese techniques are quite effective and achieve the lowest lossless bit rate
s so far over a variety of test images.