17-03-2017, 11:28 AM
A systematic algorithm that can convert any transformation of 3 times 3 colours into a transformation from integers to reversible integers. Although JPEG / 2000 wavelet-based has become the new generation of standard image compression, many successful image compression applications still benefit from the previous standard based on discrete cosine transformation (DCT). It was demonstrated theoretically in that, for a commonly used class of source models, DCT is the optimal K-L transform in the limiting case that the correlation of adjacent elements tends to unity. Many transform coding standards, such as MPEG-1, MPEG-2 and H.263, are also based on DCT.
The whole colour transformation is a reversible operation that can transform a colour coordinate into another and both the inputs and the outputs are in whole shapes. In this work, we improve the whole colour transformations derived in previous works. First, we relax the restriction that the scale for each row must be the same. From this, the method of deriving the entire colour transformation becomes more flexible and we can derive the entire colour transformation with less implementation time and greater precision. In addition, we use the new criterion, bit extension, to measure the performance of the whole colour transformation and propose a new form of precision analysis. With the proposed method, we derive the RGB reversible integer to YCbCr, KLA, XYZ, UVW, RcGcBc, YUV transforms with even greater precision with success.