To resolve the completeness and independence of an invariant set derived by the traditional method, a systematic method for deriving a complete set of pseudo-Zernike moment similarity （translation, scale and rotation...To resolve the completeness and independence of an invariant set derived by the traditional method, a systematic method for deriving a complete set of pseudo-Zernike moment similarity （translation, scale and rotation） invariants is described. First, the relationship between pseudo-Zernike moments of the original image and those of the image having the same shape but distinct orientation and scale is established. Based on this relationship, a complete set of similarity invariants can be expressed as a linear combination of the original pseudo-Zernike moments of the same order and lower order. The problem of image reconstruction from a finite set of the pseudo-Zernike moment invariants （PZMIs） is also investigated. Experimental results show that the proposed PZMIs have better performance than complex moment invariants.展开更多
A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator （PIEO） and energy-l...A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator （PIEO） and energy-level gap are presented under one-order approximation.展开更多
基金The National Natural Science Foundation of China(No.61071192,61073138)
文摘To resolve the completeness and independence of an invariant set derived by the traditional method, a systematic method for deriving a complete set of pseudo-Zernike moment similarity （translation, scale and rotation） invariants is described. First, the relationship between pseudo-Zernike moments of the original image and those of the image having the same shape but distinct orientation and scale is established. Based on this relationship, a complete set of similarity invariants can be expressed as a linear combination of the original pseudo-Zernike moments of the same order and lower order. The problem of image reconstruction from a finite set of the pseudo-Zernike moment invariants （PZMIs） is also investigated. Experimental results show that the proposed PZMIs have better performance than complex moment invariants.
文摘A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator （PIEO） and energy-level gap are presented under one-order approximation.
