A method of compressing a frame in an image compression and storage system, the method including applying a modulo addition to a residue of an original sample of the frame to generate a biased residue based on a bit depth of the original sample and a maximum allowed error, quantizing the biased residue based on the maximum allowed error to generate a quantized biased residue, and encoding a value corresponding to the quantized biased residue to generate an encoded value that has a non-negative reconstruction error.