## 3 Results
In contrast, as shown in Figure 6c, the quality of the phase image using Proposed method 1 is no better than the conventional algorithm, but Proposed method 2 maintains the best quality of all the iterations when compared with the other methods. Figure 6e,f show the total intensity of the reconstructed images. The total intensity is defined as the total light intensity of the reconstructed image calculated by \(\sum_{x,y}|a(x,y)|^{2}\), where \(a(x,y)\) is the amplitude in the object plane. In Figure 6e, Proposed method 2 has the highest total intensity of all the iterations. In Figure 6f, Proposed method 1 has the highest optical efficiency of all the iterations. Figure 6: Reconstructed amplitude images, phase images, and total intensity as a function of the iterations. The resolution of the hologram is \(1024\times 1024\) pixels. The peak signal-to-noise ratios (PSNRs) and total intensities were averaged with five different initial random phases. (**a,b**) are the amplitude PSNRs for “Mandrill+Pepper” and “House+Jelly”, (**c,d**) the phase PSNRs for “Mandrill+Pepper” and “House+Jelly”, and (**e,f**) are the total intensities for “Mandrill+Pepper” and “House+Jelly. Figures 7 and 8 show the amplitude images, phase images, and total intensity as a function of the iterations. The calculation conditions are the same as in Figure 6, except for the resolution of the holograms. The resolutions of the holograms in Figures 7 and 8 are \(512\times 512\) pixels and \(2048\times 2048\) pixels, respectively. Overall, the proposed methods demonstrated better image quality and total intensity than the conventional method. Figure 7: Reconstructed amplitude images, phase images, and total intensity as a function of the iterations. The resolution of the hologram is \(512\times 512\) pixels. (**a**,**b**) are the amplitude PSNRs for “Mandrill+Pepper” and “House+Jelly”, (**c**,**d**) the phase PSNRs for “Mandrill+Pepper” and “House+Jelly”, and (**e**,**f**) are the total intensities for “Mandrill+Pepper” and “House+Jelly.”  
Figure 9 shows optical reconstructions from holograms with \(1024\times 1024\) pixels, using the original complex-valued objects of \"House+Jelly\" and \"Mandrill+Pepper.\" We used a phase-modulated spatial light modulator with a full high definition (HD) resolution. The calculation condition of the holograms is the same as in Figure 6. Figure 9a,e show the optical reconstructions using the non-iterative method. Figure 9b,f show the optical reconstructions using the conventional method. Figure 9c,g show the optical reconstructions using Proposed method 1 and Figure 9d,h show the optical reconstructions using Proposed method 2. The proposed methods improve the image quality compared to the non-iterative method while reducing the calculation time. Figure 8: Reconstructed amplitude images, phase images, and total intensity as a function of the iterations. The resolution of the hologram is \(2048\times 2048\) pixels. (**a,b**) are the amplitude PSNRs for “Mandrill+Pepper” and “House+Jelly”, (**c,d**) the phase PSNRs for “Mandrill+Pepper” and “House+Jelly”, and (**e,f**) are the total intensities for “Mandrill+Pepper” and “House+Jelly.”