Pointcloud to surface question

[R G W]

Hello, everyone. I'm RGW.
Recently I've had some problems reconstructing a surface using points.
I am using the sample/mfc/Geometry in the opencascade folder for testing.
The test results are shown in the figure below. When my point set is close to the origin, the result is better, but when my point set coordinates are far away from the origin, the result is not very good. Why?
Thanks in advance!
My point set txt file is attached with the question.

near result (good):


far result (bad):

 

[R G W]

My test program is right here：


It is a program that comes with opencascade. path is opencascade-7.7.0/samples/mfc/geometry

 

[Quaoar]

You may want to take a look at APPSURF2 algorithm in Analysis Situs. I gave it a try on your data:




The only way of approximating scattered point clouds in OpenCascade is the PLATE algorithm, btw. If you have troubles to see the result in the MFC sample, it is very likely that an initial surface is somehow improperly chosen (by the sample app). The algorithm itself is alright, here is the result from Analysis Situs with the selected PLATE approximation method:




To run the algorithm, you start in a dialog invoked from the context menu:



This algorithm is only available on the master branch, so you'll have to compile Analysis Situs from sources.