A new fast algorithm to compute continuous moments defined in a rectangular region

作者：

Highlights：

• A new algorithm to compute the moments defined in a rectangular region is developed.

• It is verified that our computational method can efficiently and accurately compute Legendre, Gegenbauer, and Jacobi moments.

• With our new algorithm, using the higher orders of moments defined in a rectangular region in real-time image analysis and recognition applications will be possible.

摘要

•A new algorithm to compute the moments defined in a rectangular region is developed.•It is verified that our computational method can efficiently and accurately compute Legendre, Gegenbauer, and Jacobi moments.•With our new algorithm, using the higher orders of moments defined in a rectangular region in real-time image analysis and recognition applications will be possible.

论文关键词：Real-time moment computing,Legendre moments,Gegenbauer moments,Jacobi moments

论文评审过程：Received 5 May 2018, Revised 19 December 2018, Accepted 2 January 2019, Available online 3 January 2019, Version of Record 15 January 2019.

论文官网地址：https://doi.org/10.1016/j.patcog.2019.01.001