How do I convert point cloud data to DICOM?
This answer is actually based on combining answers from 2 other questions (this and that).

The process isn't a single step and would be to as follows:


The point cloud data needs to be converted to a 3d mesh.
Convert the mesh to STL.
Slice the STL into SVG.


For step one, the type of point cloud data would decide the software to use (for example, if it is GIS point cloud data, or 3D scanner point cloud data). A good end result of step 1 would be a VRML file. As you've not specified the type of point cloud data, I cannot suggest a software for it.

Step 2 would be to convert the mesh to STL which is easily doable using  Meshlab.

For step 3, Slic3r itself will work just fine to generate the SVG output you're looking for.