How to connect lines after probabilistic Hough transform?

Question

I am trying to find a cross on image. Here are the steps: 1. Canny operator 2. Probabilistic Hough transformation

=> set of sections - on the image.

I want to connect the dotted lines in order to get few long segments. Unfortunately, I didn't find any standard tool to do that:

1. Standard Hough transformation - returns infinite lines, so it is not useful.
2. Dilation - cannot connect dotted lines.

Any ideas are welcome..

UPDATE:

Don't have the exact source of above image right now, but here is the one of the examples.