CurvatureAnalysis uses what’s called a Visual Analysis Mode. Basically the object is assigned a special analysis mode that control’s its visibility. Rhino has a number of visual analysis modes: Curvature, EMap, Zebra, etc.
Plug-in can create their own visual analysis modes. In C++, you’d do this by deriving a custom class from CRhinoVisualAnalysisMode. You can find a sample of this here:
https://github.com/mcneel/Rhino5Samples_CPP/tree/master/SampleAnalysisMode
In RhinoCommon equivalent to this is the VisualAnalysisMode class. I thought I had an example of this, but I can’t seem to locate it at the moment.
If you don’t want to create a full blown visual analysis mode, a simple way to display the results of analysis is with a false-color mesh. Basically you create a display conduit, and display a custom mesh, generated from the object, that has vertex colors based on the analysis.
– Dale