Homographic p-norms: Metrics of homographic image transformation

作者:

Highlights:

• We propose homographic p-norms, metrics of homographic image transformation.

• We show that homographic p-norms satisfy metric properties.

• For use of the metrics, we provide several homographic 2-norm expressions.

• We compare their approximation errors, and validate the efficacy of the metrics.

• The metrics can be applied to various image processing and analysis tasks.

摘要

Highlights•We propose homographic p-norms, metrics of homographic image transformation.•We show that homographic p-norms satisfy metric properties.•For use of the metrics, we provide several homographic 2-norm expressions.•We compare their approximation errors, and validate the efficacy of the metrics.•The metrics can be applied to various image processing and analysis tasks.

论文关键词:Homography,Homographic transformation,p-norm,Metric,2-norm,Image registration

论文评审过程:Received 8 December 2014, Revised 9 July 2015, Accepted 31 August 2015, Available online 9 September 2015, Version of Record 14 November 2015.

论文官网地址:https://doi.org/10.1016/j.image.2015.08.009