Optimization on shape curves with application to specular stereo

Handle URI:
http://hdl.handle.net/10754/564263
Title:
Optimization on shape curves with application to specular stereo
Authors:
Balzer, Jonathan; Höfer, Sebastian G.; Werling, Stefan; Beyerer, Jürgen
Abstract:
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.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
Springer Science + Business Media
Journal:
Lecture Notes in Computer Science
Conference/Event name:
32nd Annual Symposium of the German Association for Pattern Recognition, DAGM 2010
Issue Date:
2010
DOI:
10.1007/978-3-642-15986-2_5
Type:
Conference Paper
ISSN:
03029743
ISBN:
3642159850; 9783642159855
Appears in Collections:
Conference Papers; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorBalzer, Jonathanen
dc.contributor.authorHöfer, Sebastian G.en
dc.contributor.authorWerling, Stefanen
dc.contributor.authorBeyerer, Jürgenen
dc.date.accessioned2015-08-04T06:21:12Zen
dc.date.available2015-08-04T06:21:12Zen
dc.date.issued2010en
dc.identifier.isbn3642159850; 9783642159855en
dc.identifier.issn03029743en
dc.identifier.doi10.1007/978-3-642-15986-2_5en
dc.identifier.urihttp://hdl.handle.net/10754/564263en
dc.description.abstractWe 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.en
dc.publisherSpringer Science + Business Mediaen
dc.titleOptimization on shape curves with application to specular stereoen
dc.typeConference Paperen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalLecture Notes in Computer Scienceen
dc.conference.date22 September 2010 through 24 September 2010en
dc.conference.name32nd Annual Symposium of the German Association for Pattern Recognition, DAGM 2010en
dc.conference.locationDarmstadten
dc.contributor.institutionLehrstuhl für Interaktive Echtzeitsysteme, Institute for Anthropomatics, Karlsruhe Institute of Technology (KIT), Germanyen
kaust.authorBalzer, Jonathanen
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