Least squares approach for predictive coding of 3-D images

A new compression technique using luminance compensation with adaptive block size for multispectral or volumetric images is proposed. The luminance compensation which is a function approximation technique is updated block by block for efficient coding. Existing compression techniques do not exploit the property that the spatial features of neighboring images are almost identical in multispectral or medical volumetric images. In other words, the image content of each image usually has almost the same spatial shape even when the pixel values are different. The luminance compensation based on least squares takes advantage of the relationship of almost identical spatial feature. A Lagrange multiplier technique is also used to optimize the quadtree for the adaptive block size.