Moment invariants under similarity transformation

作者：

Highlights：

• We present a method for constructing moment invariant under similarity transformation.

• Our method can be used for deriving moment invariants of arbitrary dimension and order.

• Our invariants are algebraically independent and complete.

• We present some explicit formulas for computing invariant sets׳ dimensions.

摘要

•We present a method for constructing moment invariant under similarity transformation.•Our method can be used for deriving moment invariants of arbitrary dimension and order.•Our invariants are algebraically independent and complete.•We present some explicit formulas for computing invariant sets׳ dimensions.

论文关键词：Moment invariants,Algebraically independent,Haar measure,Projection matrix

论文评审过程：Received 8 September 2014, Revised 2 April 2015, Accepted 2 May 2015, Available online 19 May 2015, Version of Record 16 July 2015.

论文官网地址：https://doi.org/10.1016/j.patcog.2015.05.003