2013
DOI: 10.1111/phor.12037
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Bundle Adjustment With and Without Damping

Abstract: The least squares adjustment (LSA) method is studied as an optimisation problem and shown to be equivalent to the undamped Gauss–Newton (GN) optimisation method. Three problem‐independent damping modifications of the GN method are presented: the line search method of Armijo (GNA); the Levenberg–Marquardt algorithm (LM); and Levenberg–Marquardt with Powell dogleg (LMP). Furthermore, an additional problem‐specific “veto” damping technique, based on the chirality condition, is suggested. In a perturbation study o… Show more

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Cited by 34 publications
(39 citation statements)
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“…Different techniques have been suggested to modify the iteration sequence to improve the convergence properties (see e.g. Lourakis and Argyros, 2009;Börlin and Grussenmeyer, 2013). However, assuming the mathematical problem is well posed, the optimal values returned by a BA procedure should not depend on what particular sequence of computations resulted in those estimates.…”
Section: Iteration Sequencementioning
confidence: 99%
“…Different techniques have been suggested to modify the iteration sequence to improve the convergence properties (see e.g. Lourakis and Argyros, 2009;Börlin and Grussenmeyer, 2013). However, assuming the mathematical problem is well posed, the optimal values returned by a BA procedure should not depend on what particular sequence of computations resulted in those estimates.…”
Section: Iteration Sequencementioning
confidence: 99%
“…The classical least-squares adjustment performed during the bundle adjustment process corresponds to the undamped Gauss-Newton optimization method [40]. However, several factors such as the absence of appropriate initial values or the low intersection angles between the images may prevent the iterative solution from reaching convergence [41].…”
Section: Bundle Adjustmentmentioning
confidence: 99%
“…However, several factors such as the absence of appropriate initial values or the low intersection angles between the images may prevent the iterative solution from reaching convergence [41]. Several damping methods may be applied in order to optimize the results [40,42].…”
Section: Bundle Adjustmentmentioning
confidence: 99%
See 1 more Smart Citation
“…We investigate a procedure where the focal length is the only parameter that is given a specific initial value; the other parameters are given standard initial values or computed from the data. Our target is to investigate the pull-in range of this procedure using the set of bundle adjustment techniques available in the free Damped Bundle Adjustment Toolbox for Matlab, described in Börlin and Grussenmeyer (2013a), and to suggest a 1 http://www.vision.caltech.edu/bouguetj/calib doc 2 http://www.mathworks.com/products/computer-vision standardised procedure that does not require any camera knowledge.…”
Section: Introductionmentioning
confidence: 99%