# GlobalOptimizationTutorial
## Hands-on Tutorial for Global Optimization in Matlab
This git repo is for the ICCV 2019 Tutorial ["Global Optimization for Geometric Understanding with Provable Guarantees"](http://globaloptimization-iccv2019.mit.edu).
Authors: [Heng Yang](http://hankyang.mit.edu), Siyi Hu, [Luca Carlone](https://lucacarlone.mit.edu)
Acknowledgement: The tutorial uses the [SE-Sync](https://github.com/david-m-rosen/SE-Sync) implementation by David Rosen.
## Prerequisites
* CVX: Please [download CVX](http://cvxr.com/cvx/download/) according to your OS and put the "cvx" folder at the same folder level as this "GlobalOptimizationTutorial" folder (e.g. "path/Matlab/cvx" and "path/Matlab/GlobalOptimizationTutorial"), and then go inside the "cvx" folder from Matlab console and run `cvx_setup`.
## Get Started
* As simple as just openning, reading and running the `Tutorial_presentation.mlx` (`Tutorial_complete.mlx` contains the solution)
* Alternatively, you can just read the `Tutorial_complete.pdf`
## References
1. Rosen, D. M., Carlone, L., Bandeira, A. S., & Leonard, J. J. (2018). SE-Sync: a certifiably correct algorithm for synchronization over the Special Euclidean group. *Intl. J. of Robotics Research (IJRR)*. [(pdf)](https://arxiv.org/pdf/1612.07386.pdf)
2. Eriksson, A., Olsson, C., Kahl, F., & Chin, T.-J. (2018). Rotation averaging and strong duality. In *IEEE Conf. on Computer Vision and Pattern Recognition (CVPR)*. [(pdf)](https://arxiv.org/pdf/1705.01362.pdf)
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Hands-on Tutorial for Global Optimization in Matlab.zip
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Hands-on Tutorial for Global Optimization in Matlab.zip (212个子文件)
rim.g2o 4.63MB
torus3D.g2o 3.11MB
parking-garage.g2o 1.22MB
sphere2500.g2o 1.04MB
intel.g2o 300KB
CSAIL.g2o 125KB
MIT.g2o 119KB
.gitignore 10B
trustregions.m 33KB
low_rank_dist_completion.m 25KB
multiprod.m 24KB
SE_Sync.m 24KB
fixedrankfactory_tucker_preconditioned.m 17KB
conjugategradient.m 16KB
maxcut.m 12KB
fixedrankfactory_3factors_preconditioned.m 12KB
low_rank_tensor_completion.m 11KB
fixedrankembeddedfactory.m 11KB
pso.m 10KB
shapefit_smoothed.m 10KB
neldermead.m 10KB
packing_on_the_sphere.m 9KB
essentialfactory.m 9KB
tCG.m 9KB
steepestdescent.m 9KB
productmanifold.m 9KB
elliptopefactory.m 9KB
grassmanngeneralizedfactory.m 9KB
low_rank_matrix_completion.m 8KB
hessianspectrum.m 8KB
linesearch.m 8KB
grassmannfactory.m 7KB
fixedrankfactory_2factors.m 7KB
fixedrankfactory_3factors.m 7KB
sympositivedefinitefactory.m 7KB
truncated_svd.m 7KB
grassmanncomplexfactory.m 7KB
fixedrankfactory_2factors_subspace_projection.m 7KB
radio_interferometric_calibration.m 7KB
generalized_procrustes.m 7KB
obliquefactory.m 6KB
sparse_pca.m 6KB
hessianextreme.m 6KB
fixedrankfactory_2factors_preconditioned.m 6KB
powermanifold.m 6KB
StoreDB.m 6KB
linesearch_adaptive.m 6KB
robust_pca.m 6KB
stiefelgeneralizedfactory.m 6KB
stiefelstackedfactory.m 6KB
checkhessian.m 6KB
preconhessiansolve.m 6KB
stiefelcomplexfactory.m 5KB
approxhessianFD.m 5KB
fixedrankMNquotientfactory.m 5KB
multinomialfactory.m 5KB
load_g2o_data.m 5KB
spectrahedronfactory.m 5KB
symfixedrankYYcomplexfactory.m 5KB
readG2oDataset2D.m 5KB
essential_distMinAnglePair_base.m 5KB
stiefelfactory.m 5KB
rotationsfactory.m 4KB
construct_problem_data.m 4KB
grid_random_graph_2D.m 4KB
linesearch_decrease.m 4KB
symfixedrankYYfactory.m 4KB
positive_definite_karcher_mean.m 4KB
Q_minus_Lambda_min_eig.m 4KB
dominant_invariant_subspace.m 4KB
linesearch_hint.m 4KB
spherecomplexfactory.m 4KB
construct_B_matrices.m 4KB
complexcirclefactory.m 4KB
checkdiff.m 4KB
generalized_eigenvalue_computation.m 4KB
symmetricfactory.m 4KB
getHessian.m 3KB
spheresymmetricfactory.m 3KB
statsfunhelper.m 3KB
dominant_invariant_subspace_complex.m 3KB
spherefactory.m 3KB
getEuclideanGradient.m 3KB
nonlinear_eigenspace.m 3KB
getGradient.m 3KB
diagsum.m 3KB
refinePose2D.m 3KB
checkgradient.m 3KB
euclideanfactory.m 3KB
stoppingcriterion.m 3KB
construct_connection_Laplacian.m 3KB
getCost.m 3KB
centeredmatrixfactory.m 3KB
getHessianFD.m 3KB
chordal_initialization.m 3KB
shapefitfactory.m 3KB
tangentspherefactory.m 2KB
getDirectionalDerivative.m 2KB
getSqrtPrecon.m 2KB
plot_poses.m 2KB
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