harmonic_potential_fields
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harmonic_potential_fields [2017/09/12 17:52] – tbrodeur | harmonic_potential_fields [2017/09/14 11:41] – tbrodeur | ||
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* [[Harmonic_Potential_Fields# | * [[Harmonic_Potential_Fields# | ||
* [[Harmonic_Potential_Fields# | * [[Harmonic_Potential_Fields# | ||
- | * Final Words | + | * [[Harmonic_Potential_Fields# |
+ | * [[Harmonic_Potential_Fields# | ||
+ | |||
+ | This work is presented in more detail in [[https:// | ||
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===== Multi-Panel Method for Complex Obstacles ===== | ===== Multi-Panel Method for Complex Obstacles ===== | ||
+ | * {{: | ||
* Used to represent complex obstacles and cluttered environments. | * Used to represent complex obstacles and cluttered environments. | ||
* Obstacles approximated by set of panels numbered in clockwise direction. | * Obstacles approximated by set of panels numbered in clockwise direction. | ||
* Each panel has own center point with a desired outward normal velocity as input variable. | * Each panel has own center point with a desired outward normal velocity as input variable. | ||
* Boundary points are intersections of neighboring panels. | * Boundary points are intersections of neighboring panels. | ||
- | * | + | * If we let M = # of panels, and let λ< |
+ | * where R< | ||
+ | |||
+ | == Goal Points == | ||
+ | * We need an attractive potential at our goal point, where the potential has only one global minimum. | ||
+ | * This potential can be represented by a point singularity of sink, that acts like a drain in a sink, and has a strength of A > 0, and can be represented by: {{: | ||
+ | * where R< | ||
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</ | </ |
harmonic_potential_fields.txt · Last modified: 2017/09/14 12:58 by tbrodeur