Several theories are used for particle shape analysis. Among these are the Fourier transform (full range) methods for the angular bend function and radius vector function. However these contain methodological weaknesses, not only in the functions themselves, such as the re-entrant nature or irregular asymmetricity apt to provide noisy information, but also in the Fourier transform with the phase angle for further extended shape analyses. In this report, these two main elements are reconsidered, introducing the shift x, y-coordinate detection method for contour curves and the Fourier since transformation in the half-range. Their application to measurement of particle size contraction and shape information was examined via image (contour) reconstruction and estimations of projected area and elongation for real sand particles.