Possible Applications of Pose Estimation Algorithm to Missile

Possible Applications of Pose Estimation Algorithm to Missile Defense William Martin

Problem Set-up – Single ICBM • Satellites at known 3 D coordinates take thermal images that can detect ICBMs (Intercontinental Ballistic Missiles) • 4 -Point Pose estimation can be inverted from its usual use to tell the 3 D coordinates of missile

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Pose Estimation Algorithm Imaged From Chandra Tan’s Thes

Problem Set-up – Single ICBM 1 2 3 4

Problem Solution – Single ICBM • Two successive iterations can determine velocity vector of missile • Three iterations can tell projectile path of missile and can be used to accurately predict location of missile in the future • This method of determining a missile’s path can work in concert with or as an alternative to traditional RADAR triangulation techniques to missile path prediction

Problem Set-up – Multiple ICBMs • Satellites at known 3 D coordinates take thermal images that can detect ICBMs (Intercontinental Ballistic Missiles) • If dynamics are known about missiles at a time t 0, then the pose estimation algorithm can be used to predict the pixel locations of groups of 4 missiles at a time t 1

Problem Set-up – Multiple ICBMs • This grouping greatly simplifies the tracking of missiles and makes the strategy of overwhelming our radar detection methods less effective • Prediction and tracking will be more accurate since calculations made by one satellite can be corroborated by other satellites

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2 Problem Set-up 3 Set 1 Set 2 Set 3 Set 4 Set 5

Problem Set-up – Multiple ICBMs 1 2 3 4

Problem Solution – Multiple ICBMs • Additional accuracy can be gained by permuting each of the N missiles into all possible subsets of groups of 4. • By comparing expected and actual positions of missiles at time t 1, we can refine our prediction of the projectile motion of the missiles and the relative distances between them in 3 D space

Conclusions • The 4 -Point pose estimation algorithm has the potential to improve algorithms for missile tracking in both single missile and multiple missile cases • In the multiple missile case, this approach may provide a solution to the problem of overloaded RADAR based missile tracking systems • These approaches could be used in concert with existing systems to verify their findings and to improve estimates of future positions of missiles