So far, RANSAC is used. It has fixed number of iterators - i.e. model evaluations on full set of lines which is slow. It can be replaced with PROSAC which is more universal and faster. And additionally, the result would be more stable (so no need of deterministic random generator)
Prosac needs:

• A weighting mechanism for selection of single model. Most likely CHT-based.
• PROSAC sampler