Missing hits and starts and ends of tracks

[AsaNehm]

So far the A* algorithm that is run after the Hough transform only looks for hits between the start and end hit of the Hough track. This leaves out hits that are e.g. in a curved path further away from the straight Hough line especially at the end and/or beginning of paths. This can be solved in two ways:

1. group hits together before a Hough transform and look for the most upstream and downstream hits as beginning and end of the track -> Huge change of the existing reconstruction and can be quite tricky to implement
2. extrapolate and potentially also interpolate (as curve can impact not only the ends of a path but also the middle, depending on how the line is drawn) from the hits in a track to other hits that are not in the track yet -> smaller changes including new parameters for the reconstruction but uses mostly already existing code passages

[AsaNehm]

I will try to implement the extrapolation solution, as it seems a lot easier than the other way Create a new branch from main for this

[AsaNehm]

• [x] get direction for correct extrapolation
• [x] run A* algorithm at start with parameters in correct direction
• [x] run A* algorithm at end with parameters in correct direction
• [x] merge tracks that are now potentially really close to each other

[AsaNehm]

The track merging happens automatically afterwards as this feature is implemented in RunHough which gets called before merging of tracks in HoughTransform

[AsaNehm]

TMS_Nehm_003_code.pdf