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README.md

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@@ -20,6 +20,10 @@ Plan around a sphere obstacle in $\mathbb{R}^3$ using the RRT-Connect planner:
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https://github.com/kylc/planning-kit/blob/e83075cf0f9afa06b3d94a9de964c3397302c08e/demo/01_intro.py#L1-L33
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<p align="center">
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<img height="400" src="https://user-images.githubusercontent.com/233860/244265174-68069931-3bf9-410e-9c4f-5a0e3baff516.png">
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</p>
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## Details
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### State Space
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https://github.com/kylc/planning-kit/blob/e83075cf0f9afa06b3d94a9de964c3397302c08e/demo/02_custom_space.py#L1-L26
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<p align="center">
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<img height="400" src="https://user-images.githubusercontent.com/233860/244265175-285e9884-19be-418c-8c75-16cd02faaf0e.png">
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</p>
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### Constraints
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Planning subject to manifold constraints is implemented via the unifying framework IMACS (implicit manifold configuration space) presented in [[KiMK19]](#KiMK19). Projection is used to adhere samples from an ambient space to the constrained manifold while preserving the planner properties of probabilistic completeness and asymptotic optimality.
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https://github.com/kylc/planning-kit/blob/e83075cf0f9afa06b3d94a9de964c3397302c08e/demo/03_constraints.py#L1-L14
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<p align="center">
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<img height="400" src="https://user-images.githubusercontent.com/233860/244265172-db2e12b8-6100-41d0-bdbe-75b8b8af4b6b.png">
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</p>
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### Planning
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| Planner | Category | Optimal | Reference |

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