A general scheme for finding the static rate–distortion optimized ordering for the bits of the coefficients of all subbands of an N-level dyadic biorthogonal DWT

作者：

Highlights：

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• A general scheme for finding the static rate–distortion optimized ordering.

• Generic N-level dyadic biorthogonal Discrete Wavelet Transform (DWT).

• Specific formulation for the Exponential Power Distribution (EPD) family is given.

• The results can be applied by conventional context modeling entropy coding algorithms.

• The results can be applied by set-partitioning algorithms which use multiple lists.

• A significant improvement when using the weighting derived by the appropriate Exponential Power Distribution.

摘要

•A general scheme for finding the static rate–distortion optimized ordering.•Generic N-level dyadic biorthogonal Discrete Wavelet Transform (DWT).•Specific formulation for the Exponential Power Distribution (EPD) family is given.•The results can be applied by conventional context modeling entropy coding algorithms.•The results can be applied by set-partitioning algorithms which use multiple lists.•A significant improvement when using the weighting derived by the appropriate Exponential Power Distribution.

论文关键词：DWT,PDF,Bitmap,Laplace distribution,Uniform distribution,Exponential power distribution,Rate–distortion optimized

论文评审过程：Received 8 September 2017, Revised 27 June 2018, Accepted 27 June 2018, Available online 30 June 2018, Version of Record 5 July 2018.

论文官网地址：https://doi.org/10.1016/j.image.2018.06.017