Handling Gaussian blur without deconvolution

作者：

Highlights：

• New invariants to Gaussian blur are presented.

• Gaussian blur kernel may be of arbitrary elongated and oriented shape.

• The invariants are calculated directly without any deconvolution.

• Combined invariants to affine transformation and Gaussian blur are proposed.

• Applications in recognition of blurred images and video are demonstrated.

摘要

•New invariants to Gaussian blur are presented.•Gaussian blur kernel may be of arbitrary elongated and oriented shape.•The invariants are calculated directly without any deconvolution.•Combined invariants to affine transformation and Gaussian blur are proposed.•Applications in recognition of blurred images and video are demonstrated.

论文关键词：Gaussian blur,Semi-group,Projection operator,Blur invariants,Image moments,Affine transformation,Combined invariants

论文评审过程：Received 30 July 2019, Revised 22 November 2019, Accepted 5 February 2020, Available online 15 February 2020, Version of Record 25 February 2020.

论文官网地址：https://doi.org/10.1016/j.patcog.2020.107264