1. A method of preparing image data comprising a plurality of data values for compression, the method comprising: identifying locations of one or more data values of a first subset of data values; subjecting the image data to a forward wavelet transform that generates transformed image data that includes at least one coefficient associated with each respective data value; replacing the at least one coefficient associated with the one or more data values of the first subset with respective replacement coefficients, wherein replacing the at least one coefficient comprises reducing a mean squared value over the coefficients associated with the one or more data values of the first subset; and subjecting the transformed image data including the replacement coefficients to an inverse wavelet transform to generate modified image data.