A Shape Descriptor Combining Logarithmic-Scale Histogram of Radon Transform and Phase-Only Correlation Function

A shape descriptor combining the histogram of the Radon transform, the logarithmic-scale histogram, and the phase-only correlation function is proposed. Applying a logarithmic-scale to the Radon transform, the shape scaling and rotation become two-dimensional translation in our descriptor without any normalization. The geometric invariance to translation, when we match two shapes, are kept using the phase-only correlation function. In addition, we can determine with this function the rotation angle and the scale parameter between two shapes. Our descriptor is robust to shape occlusion and noise also.