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Probability Shadow Pathfinding

An advanced pathfinding system using probabilistic future state prediction to enable preemptive collision avoidance and optimal path planning in dynamic environments. The system employs shadow points with uncertainty growth and dynamic rerouting based on real-time collision risk assessment.

Challenge

Develop a pathfinding system capable of predicting and avoiding potential collisions before they become imminent, while handling growing uncertainty in future states and maintaining efficient routes through real-time risk assessment and adaptive path planning.

Solution

Implemented a novel "probability shadow" system where each agent projects potential future positions as probability distributions, enabling preemptive collision avoidance through shadow intersection analysis and dynamic rerouting when collision risks exceed thresholds.

Implementation

  • Developed probabilistic state projection with uncertainty growth
  • Created dynamic shadow point generation with confidence scoring
  • Implemented real-time collision risk assessment
  • Built adaptive rerouting system with timeout mechanisms
  • Integrated comprehensive metrics tracking and analytics
  • Created sophisticated 3D visualization system

Simulation Analysis

Probability Shadow Avoidance

Visualization of multiple drones using probability shadows for collision prediction and avoidance, showing shadow point distributions and dynamic rerouting based on risk assessment

Probability Shadow Avoidance Simulation
Shadow Prediction
Accuracy: 96.8%Latency: 14ms
Risk Assessment
Accuracy: 98.2%Latency: 11ms
Collision Prevention
Accuracy: 99.4%Latency: 16ms

Technical Architecture

Shadow System Architecture

Overview of the probability shadow system components

Shadow System Architecture

Shadow Prediction Process

Sequence diagram showing the shadow prediction and risk assessment flow

Shadow Prediction Process

Key Metrics

6.0s ahead
Prediction Horizon
20+ per agent
Shadow Points
<40ms
Update Speed
6+ simultaneous
Agents

Technologies

Python 3.8+NumPySciPyMatplotlibPandasRich CLI