Titelaufnahme

Titel
Detection of intensity and motion edges within optical flow via multidimensional control
Verfasser/ VerfasserinBrune, Christoph In der Gemeinsamen Normdatei der DNB nachschlagen ; Maurer, Helmut ; Wagner, Marcus
Erschienen in
SIAM Journal on Imaging Sciences, 2009, Jg. 2, H. 4, S. 1190-1210
ErschienenSociety for Industrial and Applied Mathematics, 2009
Ausgabe
Publisher version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)optical flow / edge detection / partial differential equation constrained optimization / optimal control problem / direct methods
ISSN1936-4954
URNurn:nbn:at:at-ubg:3-3854 Persistent Identifier (URN)
DOI10.1137/080725064 
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Detection of intensity and motion edges within optical flow via multidimensional control [0.87 mb]
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Zusammenfassung (Englisch)

In this paper, we propose a new optimization approach for the simultaneous computation of optical flow and edge detection therein. Instead of using an AmbrosioTortorelli type energy functional, we reformulate the optical flow problem as a multidimensional control problem. The optimal control problem is solved by discretization methods and large-scale optimization techniques. The edge detector can be immediately built from the control variables. We provide three series of numerical examples. The first shows that the mere presence of a gradient restriction has a regularizing effect, while the second demonstrates how to balance the regularizing effects of a term within the objective and the control restriction. The third series of numerical results is concerned with the direct evaluation of a TV-regularization term by introduction of control variables with sign restrictions.

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