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Consistent fundamental matrix estimation in a quadratic measurement error model arising in motion analysis. (English) Zbl 1011.62069

Summary: Consistent estimators of the rank-deficient fundamental matrix yielding information on the relative orientation of two images in two-view motion analysis are derived. The estimators are derived by minimizing a corrected contrast function in a quadratic measurement error model. In addition, a consistent estimator for the measurement error variance is obtained. Simulation results show the improved accuracy of the newly proposed estimator compared to the ordinary total least-squares estimator.

MSC:

62H35 Image analysis in multivariate analysis
62H12 Estimation in multivariate analysis

Software:

VanHuffel
Full Text: DOI

References:

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