Range estimation by optical differentiation

Hany Farid, Eero P. Simoncelli

Research output: Contribution to journalArticlepeer-review


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 simplec 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.

Original languageEnglish (US)
Pages (from-to)1777-1786
Number of pages10
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number7
StatePublished - Jul 1998

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition


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