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Notes:

I first created an automatic solution It starts by finding the green segments.

To do this it calculates the second order derivate (hessian) to find edged in the image.

A threshold and the find objects operation are applied.

Only long objects are kept. To judge if an object is long the width and length of the object are compared.

For the remain object centers calculate the shortest paths to all pixels upto a distance.

With help of the shortest path image trace the segment from the middle to the borders allowing for gaps of a give maximum size.

The use of the hessian derivate and the calculation of the shortest paths have been copied from Erik Meierings NeuronJ. The DNA combing task is similar to the neurite tracing task, however there are more and larger gaps in case of the DNA combing task.