Automatic TMA tool based on computer vision

[ljqcn101]

For anyone who is interested in the formulas of automatic TMA:

First I set three unknown variables,
1. target distance at first bearing as "L1_distance"
2. target course as "crs"
3. target speed as "spd"

Let ownship coordinate be (m,n). Y axis points to north (0 deg), and X axis points to east (90 deg). All angles start at Y axis and rotate in clockwise direction. So we can get:

1. target speed component on x axis "u" = spd * sin(crs)
2. target speed component on y axis "v" = spd * cos(crs)
3. target coordinate (a,b) at first bearing = m1+L1_distance*sin(brg1), n1+L1_distance*cos(brg1)
4. target coordinate (x,y) at time t = (a+u*t, b+v*t)
5. the vector pointing from ownship to target = (x-m, y-n)

By knowing the bearing of this vector, we can get the bearing vector equation:
(y-n)*sin(brg) = (x-m)*cos(brg)

Since we have three unknown variables to solve, in order to make sure the left hand side of the equation is really close to the right hand side, we can use the least square method:

Let formula f(t) = (y-n)*sin(brg) - (x-m)*cos(brg)
So we need to minimise the sum of squared f(t) for all bearing vectors. I used BFGS algorithm to solve this utilising C++ Dlib library.

[ljqcn101]

Updated to v0.3 to include speed constraint. Check the examples in the original post.

[ljqcn101]

Hi, I decided to do some further research and implement a real-life method called 'Maneuvering Target Statistical Tracker (MTST)', which assumes that the target is maneuvering.

A simple history of this method:

In 1980-81 at COMSUBPAC, W. H. Barker of DHWA employed IOU/SDE/Kalman methods to develop the Maneuvering Target Statistical Tracker (MTST). This TDA was the first operational program to take this approach. Barker improved the earlier algonthms and Importantly added a smoother by forwardbackward filtering to eliminate outliers. MTST has been extended further by Barker, Kierstead, W. R. Stromquist, N. L. Gerr, and others of DHWA. Its methodology, discussed in 3.5, is believed to be state-of-the-art in maneuvering target tracking. It has been incorporated in submarine combat control systems. It is also used in automated reconstruction by NTSA.

[ET2SN]

Originally Posted by ljqcn101

employed IOU/SDE/Kalman methods

I had to know how a Kalman filter worked for one piece of Navy hardware and later for some systems I worked on as a field engineer for Kodak.



Just be careful. When the filter gets good data its no big deal. When it gets bad data, things go south very quickly.

This is very cool, just remember that TMA also has a Zen component and you need to be good at taking a guess every now and then.

[ljqcn101]

Yeah it does require an estimate regarding how much the target can change its course or speed.

I'm using most of its idea like IOU but didn't strictly following the paper though. Here's a preliminary result and I've uploaded for download, check my signature.