Discriminant indicator with generalized rotational symmetry

Self-Energies and Rotational Symmetry

The rotational invariance is violated in the lightcone quantization method when the Fock space is truncated for practical calculations. To what extent the rotation symmetry is broken in the lightcone quantization approach can be quantified by calculating the explicit rotation dependence of the two-body scattering phase shifts. We analyze the scattering phase shifts in a simple scalar field mode...

Mixed Spectra and Rotational Symmetry

Generalized 2D Fisher Discriminant Analysis

To solve the Small Sample Size (SSS) problem, the recent linear discriminant analysis using the 2D matrix-based data representation model has demonstrated its superiority over that using the conventional vector-based data representation model in face recognition [7]. But the explicit reason why the matrix-based model is better than vectorized model has not been given until now. In this paper, a...

A Constraint Relationship for Reflectional Symmetry and Rotational Symmetry

A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with K ≥ 1 fold(s) (K-RSI), its number of reflection-symmetric axes must be either K or zero. The novel constraint theorem provides the guidance for the procedure of symmetry detection. It has been demonstrated by the experime...

Constraint relationship for reflectional symmetry and rotational symmetry

A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with K>1 fold(s) (K-RSI), its number of reflection-symmetric axes must be either K or zero. The novel constraint theorem provides the guidance for the procedure of symmetry detection. It has been demonstrated by the experiment...