Sparse representation of two- and three-dimensional images with fractional Fourier, Hartley, linear canonical, and Haar wavelet transforms

作者:

Highlights:

• Fractional Fourier Transform are introduced as sparsifying transforms.

• Linear Canonical Transforms are introduced as sparsifying transforms.

• Various approaches for compressing three-dimensional images are suggested.

摘要

•Fractional Fourier Transform are introduced as sparsifying transforms.•Linear Canonical Transforms are introduced as sparsifying transforms.•Various approaches for compressing three-dimensional images are suggested.

论文关键词:Compressibility,Image representation,Sparsifying transforms,Transform domain coding,Haar wavelet transform,Fractional Fourier transform,Simplified fractional Hartley transform,Linear canonical transforms

论文评审过程:Received 1 November 2016, Revised 3 January 2017, Accepted 25 January 2017, Available online 3 February 2017, Version of Record 14 February 2017.

论文官网地址:https://doi.org/10.1016/j.eswa.2017.01.046