How to do multiple lines fitting on the images using NI LabVIEW RT?

[NAGINENI]

Dear sir,

We have to fit a model or line fitting on the image. Anyone can help us with the available model or line fitting algorithms on the image, excluding the hough transform (HT). Please have a look at the below image.

 We have to implement those possible algorithms using NI LabVIEW compact RIO Real-Time Processor. Please let us know the possibilities to get the multiple lines fitting on the attached image.

Thanks and regards

Sukumar.