### Holoimages

Xianfeng Gu, Song Zhang, Ralph Martin, Peisen Huang and Shing-Tung Yau

Solid and Physics Modeling 2006

We introduce a novel geometric representation called the holoimage, which
encodes both shading and geometry information within the same image, based
on the principles of wave optics. 'Image' indicates the representation records
the amplitude of the lighting, and 'holo' means that it also encodes phase, and hence, three dimensional information. Compared to conventional geometry images or depth images, the holoimage has much higher geometric accuracy. Thus, 3D information can readily be stored and transmitted using the common 24-bit image format.
Holoimages can be efficiently rendered by modern graphics hardware; rendering speed is independent of the geometric complexity and only determined by the image resolution. Rendering holoimages requires no meshes, only textures. Holoimages allow various geometric processing tasks to be performed simply using straightforward image processing methods, including such tasks such as embossing and engraving, geometric texture extraction, and surface deformation measurement.

Conventional geometric representations, such as meshes, point clouds, implicit surfaces and CSG models, can be easily converted to holoimages using conventional rendering techniques in real time. The opposite process, converting holoimages to geometry in the form of a depth map, is simple enough to be directly and efficiently accomplished by graphics hardware.

Furthermore, holoimages can be easily captured from the real world with a projector and a camera, at video frame rate.