Objective quality assessment on angular spectrum for holographic fringe pattern

In this paper, as a first step, three requirements for an objective quality assessment corresponding to holographic fringe patterns are established, and what we believe to be a novel objective quality assessment method, PSNR-on-AS (peak signal-to-noise ratio on angular spectrum), which is satisfy these requirements, is proposed in this manuscript. To verify this proposed method, holographic fringe patterns are generated using point clouds corresponding to several 3-dimensional(3D) objects by using the Rayleigh-Sommerfeld integral, and these fringe patterns are used as a reference. As targets, these generated fringe patterns are degraded by bit-depth control and JPEG2000 compression, respectively. In this work, quality assessments on the prepared references and targets are performed by using the conventional PSNR and the proposed PSNR-on-AS. In the case of PSNR, the PSNR for fringe pattern and numerical reconstruction are determined according to the conventional evaluation method. In the case of the proposed PSNR-on-AS, the absolute value of the angular spectrum for the fringe pattern is calculated, and the PSNR for this is determined. The results of the two assessments are compared and analyzed. Experimental results is showed that the PSNR of the numerical reconstructions have a wide distribution depending on the characteristics of the 3D objects, indicating low reliability. Additionally, the PSNR of fringe patterns demonstrate a significantly lower distribution compared to their actual quality. In contrast, the proposed method, PSNR-on-AS, shows a narrow distribution regardless of the characteristics of the 3D objects, ensuring higher reliability. Furthermore, PSNR-on-AS for fringe patterns show similar visual quality to that of numerical reconstructions. Through these results, the proposed PSNR-on-AS method is validated as an effective objective quality assessment tool specialized for holographic fringe patterns.