This recommended book is a comprehensive, work-in-progress in a developing field. The book summarizes the mathematization of computer holography where optical holography is replaced with digital processing, its techniques and their limitations. A detailed index is provided. The author explains, compares and contrasts the various techniques that reconstruct the field of real objects, the computer generated fringe pattern, and the 3D display. This includes how the object field can be synthesized from 2D images or from 3D polygon-mesh representations of images prior to digital editing. This allows us to digitally edit, archive, transmit, and optically reconstruct the field of real 3D objects. Numerous internet websites provide color 3D images. Computer holography is based on digital Fourier optics, computer graphics, amplitude and phase coding to represent the image, and an understanding of human binocular disparity. In vivo biomedical imaging—for example, 3D cardiac imaging—may benefit from computer holography.