Two-dimensional quaternion linear canonical series for color images

作者：

Highlights：

• A novel two-dimensional quaternion linear canonical series (2-D QLCS) for describing color images is proposed.

• The 2-D QLCS derived in this paper has better performance than QZM, QPCET and QPHFM in scale invariance.

• Experimental simulations are performed to show the performance of the proposed methods in the matter of numerical stabilities and image representation.

摘要

•A novel two-dimensional quaternion linear canonical series (2-D QLCS) for describing color images is proposed.•The 2-D QLCS derived in this paper has better performance than QZM, QPCET and QPHFM in scale invariance.•Experimental simulations are performed to show the performance of the proposed methods in the matter of numerical stabilities and image representation.

论文关键词：Linear canonical transform,2-D quaternion linear canonical series,Orthogonal transforms,Moment invariant,Image reconstruction

论文评审过程：Received 8 April 2020, Revised 16 September 2021, Accepted 22 October 2021, Available online 29 November 2021, Version of Record 6 December 2021.

论文官网地址：https://doi.org/10.1016/j.image.2021.116574