Nonlinearities and Noise Reduction in 3-Source Photometric Stereo

Lyle Noakes, R. Kozera

    Research output: Contribution to journalArticle

    25 Citations (Scopus)


    1-D Leap-Frog (L. Noakes, J. Math. Australian Soc. A, Vol. 64, pp. 37-50, 1999) is an iterative scheme for solving a class of nonquadratic optimization problems. In this paper a 2-D version of Leap-Frog is applied to a non optimization problem in computer vision, namely the recovery (so far as possible) of an unknown surface from 3 noisy camera images. This contrasts with previous work on photometric stereo, in which noise is added to the gradient of the height function rather than camera images. Given a suitable initial guess, 2-D Leap-Frog is proved to converge to the maximum-likelihood estimate for the vision problem. Performance is illustrated by examples.
    Original languageEnglish
    Pages (from-to)119-127
    JournalJournal of Mathematical Imaging and Vision
    Issue number2
    Publication statusPublished - 2003

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