WQbZS: Wavelet Quantization by Z-Scores for JPEG2000

In this document we present a methodology to quantize wavelet coefficients for any wavelet-base entropy coder, we apply it in the particular case of JPEG2000. Any compression system have three main steps: Transformation in terms of fre-quency, Quantization and Entropy Coding. The only responsible for reducing or maintaining precision is the second element, Quantization, since it is the element of lossy compression that reduces the precision of dequantized pixels in order to make quantized pixels more compressible. We modify the well-known dead zone scalar Quantization introducing Z-Scores in the pro-cess. Thus, Z-scores are expressed in terms of standard deviations from their means. Resultantly, these z-scores have a distribution with a mean of 0 and a standard deviation of 1, in this way we increase redundancies into the image, which produces a lower compression ratio.

@article{Moreno-Escobar2016,
  title     = {WQbZS: Wavelet Quantization by Z-Scores for JPEG2000},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {7},
  number    = {11},
  year      = {2016},
  publisher = {The Science and Information Organization},
  author    = {Jesus Jaime Moreno-Escobar and Oswaldo Morales-Matamoros and Ricardo Tejeida-Padilla and Ana Lilia Coria-Paes and Teresa Ivonne Contreras-Troya},
  doi       = {10.14569/IJACSA.2016.071149},
  url       = {https://doi.org/10.14569/IJACSA.2016.071149}
}