Accurate measurement of three-dimensional object coordinates from ster
eoscopic images is an essential element in various applications that r
equire three-dimensional position information. Conventionally, optical
ray tracing has been the measurement method of choice. However, it re
quires accurate knowledge of geometrical and optical parameters, such
as the image distance, camera locations relative to the object field,
and size, shape, and refractive index of intervening elements, such as
apparatus windows. On the other hand, all these parameters need not b
e known if an optical transformation method based on an in situ calibr
ation experiment is used. Furthermore, the use of in situ calibration
not only increases the effective accuracy of the measured three-dimens
ional object coordinates but also reduces significantly the computatio
nal time compared with conventional optical ray tracing. The computati
onal efficiency of the technique used is essential, especially when th
e application requires multiple determinations of a large number of th
ree-dimensional coordinates, such as is the case with three-dimensiona
l particle-tracking velocimetry. The basic concept and formulation of
an optical transformation method based on an in situ calibration exper
iment is introduced. The technique is first demonstrated with syntheti
c data, then case studies with actual in situ calibration data are dis
cussed. (C) 1997 Optical Society of America.