Can registration be used to align a point cloud to a mesh?

[dyanavalerya]

Hi I have these ideal 3D surfaces, that are then shaped out of a certain material, e.g. concrete. Then I use a vision system to capture the shape into a point cloud. I need to align the point cloud (src) to the ideal shape mesh (target) as close as possible, to then see how well the real physical shape resembles the ideal 3D shape.

What I tried was to export the surface mesh into a ply file containing multiple 3D points. Then I tried using some of the registration algorithms provided by Open3D such as RANSAC and fgr. I am assuming I need a global registration algorithm. I also noticed these algorithms use FPFH features, but the point clouds I need to use do not have that many features in my opinion and not as many points either. I will attach a test document, where different tests with different parameters were performed.

So what I am hoping to get out of this discussion, is for someone to tell me if it is possible to achieve what I am trying to with this library, and if yes, what am I doing wrong?

Test_results.docx
InputFilesForTheTest.zip