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Title: A variational approach to camera motion smoothing
Authors: Álvarez León, Luis Miguel 
Gómez Déniz, Luis 
Henríquez Castellano, Pedro 
Mazorra-Manrique de Lara, Luis 
UNESCO Clasification: 220990 Tratamiento digital. Imágenes
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
120326 Simulación
120304 Inteligencia artificial
Keywords: Variational methods
Camera calibration
Euler- Lagrange equations
Issue Date: 2011
Journal: Differential Equations & Applications 
Abstract: In this paper we study a variational problem derived from a computer vision application: video camera calibration with smoothing constraint. By video camera calibration we meanto estimate the location, orientation and lens zoom-setting of the camera for each video frame taking into account image visible features. To simplify the problem we assume that the camera is mounted on a tripod, in such case, for each frame captured at time t , the calibration is provided by 3 parameters : (1) P(t) (PAN) which represents the tripod vertical axis rotation, (2) T(t) (TILT) which represents the tripod horizontal axis rotation and (3) Z(t) (CAMERA ZOOM) the camera lens zoom setting. The calibration function t -> u(t) = (P(t),T(t),Z(t)) is obtained as the minima of an energy function I[u] . In thIs paper we study the existence of minima of such energy function as well as the solutions of the associated Euler-Lagrange equations.
ISSN: 1847-120X
DOI: 10.7153/dea-03-34
Source: Differential equations & applications. -- Croatia, Department of Applied Mathematics, FER, University of Zagreb, 2011 [ISSN 1847-120X], v. 3 (4), p. 555-564
Rights: by-nc-nd
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