Sag ich zum Augenblicke verweile doch, Du bist so schön J. W. v. Goethe, Faust An old dream of mankind and a sign of culture is the conservation of moments by taking an image of the world around. Pictures accompany the development of mankind. However, a picture is the two-dimensional projection of the thr- dimensional world. The perspective recognized in Europe in the Middle Ages was a first approach to overcome the difficulties of imaging close to reality. It took up to the twentieth century to develop a real three-dimensional imaging: - bor invented in 1948 holography. Yet still one thing was missing: the phase of the object wave could be reconstructed optically but not be measured directly. The last huge step to the complete access of the object wave was Digital Holography. By Digital Holography the intensity and the phase of electromagnetical wave fields can be measured, stored, transmitted, applied to simulations and mani- lated in the computer: An exciting new tool for the handling of light. We started our work in the field of Digital Holography in 1990. Our motivation mainly came from Holographic Interferometry, a method used with success for precise measurement of deformation and shape of opaque bodies or refractive - dex variations within transparent media. A major drawback of classical HI using photographic plates was the costly process of film development.

Fundamental Principles of Holography.- Digital Holography.- Digital Holographic Interferometry (DHI).- Digital Holographic Microscopy.- Special Techniques and Applications.- Speckle Metrology.