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## Extended Kalman Filter localization
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Documentation: [Notebook](https://github.com/AtsushiSakai/PythonRobotics/blob/master/Localization/extended_kalman_filter/extended_kalman_filter_localization.ipynb)
## Particle filter localization
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This is a sensor fusion localization with Particle Filter(PF).
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## Histogram filter localization
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This is a 2D localization example with Histogram filter.
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This is a 2D Gaussian grid mapping example.
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## Ray casting grid map
This is a 2D ray casting grid mapping example.
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## k-means object clustering
This is a 2D object clustering with k-means algorithm.
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# SLAM
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It can calculate a rotation matrix and a translation vector between points to points.
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Ref:
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Black points are landmarks, blue crosses are estimated landmark positions by FastSLAM.
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Ref:
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The black stars are landmarks for graph edge generation.
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- [The Dynamic Window Approach to Collision Avoidance](https://www.ri.cmu.edu/pub_files/pub1/fox_dieter_1997_1/fox_dieter_1997_1.pdf)
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## Grid based search
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This is a 2D grid based shortest path planning with Dijkstra's algorithm.
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In the animation, cyan points are searched nodes.
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This is a 2D grid based shortest path planning with A star algorithm.
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In the animation, cyan points are searched nodes.
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This is a 2D grid based path planning with Potential Field algorithm.
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In the animation, the blue heat map shows potential value on each grid.
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### Biased polar sampling
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### Lane sampling
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## Probabilistic Road-Map (PRM) planning
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This PRM planner uses Dijkstra method for graph search.