Optimization on shape curves with application to specular stereo

Jonathan Balzer, Sebastian G. Höfer, Stefan Werling, Jürgen Beyerer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


We state that a one-dimensional manifold of shapes in 3-space can be modeled by a level set function. Finding a minimizer of an independent functional among all points on such a shape curve has interesting applications in computer vision. It is shown how to replace the commonly encountered practice of gradient projection by a projection onto the curve itself. The outcome is an algorithm for constrained optimization, which, as we demonstrate theoretically and numerically, provides some important benefits in stereo reconstruction of specular surfaces. © 2010 Springer-Verlag.
Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science
PublisherSpringer Nature
Number of pages10
ISBN (Print)3642159850; 9783642159855
StatePublished - 2010

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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