US Patent 7796825 Losslessly improving compression of compressed image data

For data compressed using the first compression method that includes codewords generated by variable length coding sets of quantized transform coefficients using a first variable length coding method, decoding the codewords to create ordered sets of quantized transform coefficients, each created set forming an ordered series of quantized transform coefficients, and re-encoding the created ordered sets of quantized transform coefficients using a second variable length coding method to produce a re-coded set of codewords. The second variable length coding method produces shorter codewords, on average, than the first variable length coding method. The decoding and re-encoding is a lossless process such that no additional quantization or other errors are introduced to the received data by the method.