Creating new lines based on another line feature and point feature using QGIS?

Question

I have line layer (roads) and point layer (milestones) and I need to create a new line layer based on roads layer, where the start and the end points will be milestone points.

Can you advise me some tool or script to create it?

when I try use in Qgis Split lines at points I get this:

Answer 1

I think there's a bug in the split line at points tool. I used it recently (in QGIS 3.4) and got a similar result, with lines that extended far off the screen. I haven't gotten around to making a bug report yet. If you make one, please provide a link in a comment (or edit it into your question, if you don't have the commenting privilege yet).

Here's a workaround using the similar tool, split lines with lines.

1. Convert your points into short line segments with the geometry by expression tool. Use an expression like this:

    make_line($geometry, translate( $geometry,1,1))
   

2. Use the SAGA tool split lines with lines -or- the QGIS tool split with lines. Both worked for me, but the QGIS tool was significantly faster.