A three-dimensional, non-contacting metrology frame providing position and
orientation information for an object in space is presented. The metrology
system uses information from three position sensors and three laser beams t
o produce a six degree-of-freedom spatial representation of the object bein
g measured. The metrology system shows potential for decreasing the cost an
d complexity of small motion, three-dimensional measuring devices while inc
reasing range of motion. Potential applications include the metrology of sc
anning probe microscopy stages, optical fabrication devices, and magnetic r
ead/write head research platforms. Several significant points are presented
in this article. In order of importance, they are 1) description of the ne
w system; 2) derivation of the forward and inverse kinematics of the new me
trology frame; and 3) development of a methodology for determining the erro
r budget of the system (standard approaches are not possible for this confi
guration). The feasibility of the approach is shown with the development of
an example error budget for a fully general configuration. (C) 1999 Elsevi
er Science Inc. All rights reserved.