We describe a novel formulation of the range recovery problem based on computation of the differential variation in image intensities with respect to changes in camera position. This method uses a single stationary camera and a pair of calibrated optical masks to measure this differential quantity directly. We also describe a variant based on changes in aperture size. The subsequent computation of the range image involves simple arithmetic operations and is suitable for real-time implementation. We present the theory of this technique and show results from a prototype camera that we have constructed.
© 1998 Optical Society of America
Original Manuscript: September 22, 1997
Revised Manuscript: February 25, 1998
Manuscript Accepted: January 28, 1998
Published: July 1, 1998
Hany Farid and Eero P. Simoncelli, "Range estimation by optical differentiation," J. Opt. Soc. Am. A 15, 1777-1786 (1998)