I. Hadani et al., 2 METRIC SOLUTIONS TO 3-DIMENSIONAL RECONSTRUCTION FOR AN EYE IN PUREROTATIONS, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(5), 1994, pp. 1564-1574
A problem in space perception concerns how a mobile observer acquires
information about the structure of objects. Earlier research derived t
he optic-flow equations for an eye undergoing pure rotations. It was s
uggested that, by utilizing three points and two views, one can recove
r the distance of points and the motion parameters. The radius of the
eyeball was the metric unit. Yet the common view regards this problem
as indeterminate. We derived a unique solution in the discrete case, w
hich required three points and two views. However, when we observed a
single bright point, a substantial amount of visual stability existed.
We therefore derived a solution in the differential approach for a si
ngle point, which is based on a distinction that we made between mathe
matical and visual points. Both solutions were checked with a computer
simulation and were found to be accurate, supporting the space percep
tion in navigation (SPIN) theory.