Abstract: An image compression apparatus is provided, which includes a wavelet transformer, a quantizer, a comparator, a subtracter, a low data compressor and a high data compressor. The comparator compares the first quantization coefficients of the first quantization data, to output the maximum quantization coefficient. The subtracter subtracts the minimum quantization coefficient from the maximum quantization coefficient, to output a subtraction constant. The low data compressor subtracts the subtraction constant from the first quantization coefficients, to output low compression data obtained by compressing the first quantization data.