Image quantization and digital halftoning, two fundamental image processing
problems, are generally performed sequentially. and, in most cases, indepe
ndent of each other, Color reduction with a pixel-wise defined distortion m
easure and the halftoning process with its local averaging neighborhood typ
ically optimize different quality criteria or, frequently, follow a heurist
ic approach without reference to any quantitative quality measure. In this
paper, ne propose a new model to simultaneously quantize and halftone color
images. The method is based on a rigorous cost-function approach which opt
imizes a quality criterion derived from a simplified model of human percept
ion. It incorporates spatial and contextual information into the quantizati
on and thus overcomes the artificial separation of quantization and halfton
ing, Optimization is performed by an efficient multiscale procedure which s
ubstantially alleviates the computational burden.
The quality criterion and the optimization algorithms are evaluated on a re
presentative set of artificial and real-world images showing a significant
image quality improvement compared to standard color reduction approaches.
Applying the developed cost function, we also suggest a new distortion meas
ure for evaluating the overall quality of color reduction schemes.