IPHFMs: Fast and accurate Polar Harmonic Fourier Moments

Polar Harmonic Fourier moments (PHFMs) are widely used in image processing due to their excellent reconstruction ability. However, PHFMs suffer from geometric errors and numerical integration errors. Also, direct computation of PHFMs from their definition is usually slow. This paper proposes a fast and accurate calculation method for PHFMs, named improved polar Harmonic Fourier moments (IPHFMs). The variable equidistant discrete approach and fast Fourier transform (FFT) reduce the geometric errors and time complexity. Extensive experimental results on a real-world application demonstrate the efficacy and superiority of the proposed IPHFMs, concerning speed and accuracy.