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Rapport (Rapport De Recherche) Année : 2020

Modeling and solving bundle adjustment problems

Résumé

We present a modeling of bundle adjustment problems in Julia, as well as a solver for nonlinear least square problems (including bundle adjustment problems). The modeling uses NLPModels Julia’s library and computes sparse Jacobians analytically. The solver is based on the LevenbergMarquardt algorithm and uses QR or LDL factorization, with AMD or Metis permutation algorithm. The user can choose to use normalization and line search. Our experimental results contain comparison of the several versions of the solver and comparison with Scipy’s least square function and Ceres solver on the test problems given in [26]. We show that our solver is quite competitive with Scipy’s solver and Ceres solver in terms of convergence, and that it is in average two times faster than Scipy’s solver and three times slower than Ceres. However, the advantage of our solver is that it is coded is Julia and thus allows the user to run it in several precisions in a very efficient way, in order to gain time and energy (in small precisions) or accuracy (in big precisions).
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Dates et versions

hal-03156502 , version 1 (05-03-2021)

Identifiants

  • HAL Id : hal-03156502 , version 1

Citer

C Angla, Jean Bigeon, D Orban. Modeling and solving bundle adjustment problems. [Research Report] G-2020-42, Ecole Polytechnique de Montréal. 2020. ⟨hal-03156502⟩
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