This paper describes a new technique for passive ranging which is of s
pecial interest in areas such as covert nap-of-the-Earth helicopter fl
ight and spacecraft landing. This technique is based on the expansion
experienced by the image-plane projection of an object as its distance
from the sensor decreases. The motion and shape of a small window, as
sumed to fall inside the boundaries of some object, is approximated by
an affine transformation. The parameters of the transformation matrix
(expansion, rotation and translation) are derived by initially compar
ing successive images, and progressively increasing the image time sep
aration. This yields a more favorable geometry for triangulation (larg
er baseline) than is currently possible. Depth is directly derived fro
m the expansion part of the transformation, and its accuracy is propor
tional to the baseline length.