Uma implementação do algoritmo Levenberg-Marquardt dividido para aplicações em visão computacional.

José Alexandre de França; Maria Bernadete de Morais França; Marcela Hitomi Koyama; Tiago Polizer da Silva

doi:10.5433/1679-0375.2009v30n1p51

An implementation of the partitioned Levenberg-Marquardt algorithm for applications in computer vision.

Authors

José Alexandre de França Universidade Estadual de Londrina
Maria Bernadete de Morais França Universidade Estadual de Londrina
Marcela Hitomi Koyama Universidade Estadual de Londrina
Tiago Polizer da Silva Universidade Estadual de Londrina

DOI:

https://doi.org/10.5433/1679-0375.2009v30n1p51

Keywords:

Levenberg-Marquardt algorithm, Monocular Calibration, Newton's.

Abstract

At several applications of computer vision is necessary to estimate parameters for a specific model which best fits an experimental data set. For these cases, a minimization algorithm might be used and one of the most popular is the Levenberg-Marquardt algorithm. Although several free applies from this algorithm are available, any of them has great features when the resolution of problem has a sparse Jacobian matrix . In this case, it is possible to have a great reduce in the algorithm's complexity. This work presents a Levenberg-Marquardt algorithm implemented in cases which has a sparse Jacobian matrix. To illustrate this algorithm application, the camera calibration with 1D pattern is applied to solve the problem. Empirical results show that this method is able to figure out satisfactorily with few iterations, even with noise presence.

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Author Biographies

José Alexandre de França, Universidade Estadual de Londrina

Departamento de Engenharia Elétrica.

Maria Bernadete de Morais França, Universidade Estadual de Londrina

Departamento de Engenharia Elétrica.

Marcela Hitomi Koyama, Universidade Estadual de Londrina

Departamento de Engenharia Elétrica.

Tiago Polizer da Silva, Universidade Estadual de Londrina

Departamento de Engenharia Elétrica.

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Published

2009-07-15

How to Cite

França, J. A. de, França, M. B. de M., Koyama, M. H., & Silva, T. P. da. (2009). An implementation of the partitioned Levenberg-Marquardt algorithm for applications in computer vision. Semina: Ciências Exatas E Tecnológicas, 30(1), 51–62. https://doi.org/10.5433/1679-0375.2009v30n1p51

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Issue

Vol. 30 No. 1 (2009)

Section

Original Article

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