JournalsaihpcVol. 10, No. 4pp. 363–375

On variational approach to photometric stereo

  • Jan Chabrowski

    Department of Mathematics, The University of Queensland, Brisbane, St. Lucia 4067 Qld, Australia
  • Zhang Kewei

    Department of Mathematics, The University of Queensland, Brisbane, St. Lucia 4067 Qld, Australia
On variational approach to photometric stereo cover
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Abstract

In this article we discuss a variational aspect of a system of two equations arising in photometric stereo. Assuming that this system has two distinct solutions, we construct a minimizing sequence for any function lying on a segment joining these two solutions. In general, the system in question may have one, two, four or more than four solutions.

Résumé

Dans cet article, nous étudions l’aspect variationnel d’un système de deux équations intervenant en « vision stéréo ». Sous l’hypothèse que le système a deux solutions distinctes, nous construisons une suite minimisante approchant toutes les fonctions appartenant au segment joignant ces deux solutions. En général, le système étudié peut posséder une, deux, quatre (ou plus) solutions.

Cite this article

Jan Chabrowski, Zhang Kewei, On variational approach to photometric stereo. Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993), no. 4, pp. 363–375

DOI 10.1016/S0294-1449(16)30206-2