source method, panel method, Fresnel diffraction method, and angular spectrum method. These algorithms can realize both 2D and 3D holography reconstruction at any distance between hologram and image plane. [6] In addition, there are also some adaptive methods for holographic-related technology of many specific functions. [7] Meanwhile, conventional CGHs based on spatial light modulators (SLM) inevitably generate reconstruction images with limited resolution and low field-of-view (FOV) because of large pixel size compared with wavelength. [8] Hence, sub-wavelength pixel size, high-resolution devices are highly demanded.Metasurfaces are ultrathin, artificial layered devices that are composed of nanoantenna or nanoresonator arrays, which have shown great promises for manipulating the phase, amplitude, polarization, angular momentum, and frequency of light with prior spatial resolution. [9][10][11][12][13][14] In previously reported works, phase-only metasurface holograms are employed most widely due to the excellent wavefront modulation properties. Abrupt phase discontinuities can be generated within ultrashort distance, and different phase modulation methods by means of resonance phase [15][16][17][18][19] or Pancharatnam-Berry (PB) phase [7,17,[19][20][21] have been revealed. In the phaseonly holographic algorithm, the amplitude distribution is usually uniform. However, as another important design freedom, the amplitude can also be applied to the reconstruction of the target image, known as amplitude holography. In particular, the transitivity or reflectivity of the local unit can be quantitatively divided to different amplitude levels. For simplicity, binary amplitude modulation, that is, 1 bit digital coding of 0 and 1, can also reproduce holographic images with satisfactory quality. For example, binary amplitude holography based on the scattering of carbon nanotubes array has been demonstrated. [22] Specially, photon sieves consisting of randomly distributed nanoholes are among the simplest and effective amplitude modulation schemes of all the metasurface devices. Such photon sieves can possess extraordinary transmission properties. One of its application is to replace the translucent bands of Fresnel zone plates to effectively enhance the focusing behavior. [23][24][25] In addition, the concept of photon sieves is also adopted to reconstruct the diffraction beams and vortex beams. [26][27][28] Because of the simple fabrication and polarization-independent properties, photon sieves can be used as an ideal medium for binary As an excellent holographic information carrier, metasurface holograms possess the advantages of subwavelength footprint, leading to large field of view and high resolution. Meanwhile, intelligent algorithms should be developed to fully exploit the flexible modulation properties provided by metasurfaces. Here, two amplitude holograms with quantitatively correlation are realized using the photon sieve as the amplitude modulation device. A new iterative algorithm is developed to obtain the ampl...