A method of forming a rarefied hologram for video imaging and 3D lithography by using an MEMS/SLM with a plurality of pixels on the surface at a fixed distance from the retina of the viewer' eye. The method consists of providing an initial desired image, which has to be holographically reproduced by the MEMS/SLM as a remote virtual 3D image visible by the viewer's eye. The desired image is coded in a special manner and mapped by encoding and calculating only a part of the initial desired image. The operations of the pixels are controlled in accordance with the code for generation of the holographic pattern. Since only a part of a holographic pattern of the image is encoded and calculated, it becomes possible to reduce the calculation time and decrease parasitic light scattering.