Non-separable four-dimensional integer wavelet transform with reduced rounding noise

作者：

Highlights：

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• A non-separable four-dimensional (4D) integer wavelet transform is proposed.

• The variance of rounding noise generated due to the rounding operation is reduced.

• The coding performance of 4D images in lossless and lossy mode are increased.

• Four 4D medical images and an auto-regressive (AR) model is used to test the method.

摘要

•A non-separable four-dimensional (4D) integer wavelet transform is proposed.•The variance of rounding noise generated due to the rounding operation is reduced.•The coding performance of 4D images in lossless and lossy mode are increased.•Four 4D medical images and an auto-regressive (AR) model is used to test the method.

论文关键词：Wavelet,Transform,Lifting,4D,Rounding,Coding

论文评审过程：Received 9 June 2016, Revised 13 July 2017, Accepted 14 July 2017, Available online 24 July 2017, Version of Record 4 August 2017.

论文官网地址：https://doi.org/10.1016/j.image.2017.07.003