3D rotation invariants by complex moments

作者：

Highlights：

• The 3D rotation complex moment invariants are presented.

• They are derived by the group representation theory.

• The algorithm for automatic generation of the invariants is proposed.

• The linearly dependent (reducible) invariants are eliminated.

• The invariants are experimentally tested on both triangulated and volumetric data.

摘要

Highlights•The 3D rotation complex moment invariants are presented.•They are derived by the group representation theory.•The algorithm for automatic generation of the invariants is proposed.•The linearly dependent (reducible) invariants are eliminated.•The invariants are experimentally tested on both triangulated and volumetric data.

论文关键词：Complex moment,Spherical harmonic,Group representation theory,3D rotation invariant

论文评审过程：Received 25 June 2013, Revised 29 January 2015, Accepted 7 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.2015.05.007