Applying Non-Uniform Transformations to Objects

This brief guide discusses similarity transformations and how to use them on objects.

Discussion

Imagine you are trying to apply a non-uniform scale to a cylinder. If the same scale operation is applied to another object type, it works as expected; but not a cylinder. Why?

Not all ON_Geometry derived classes can be can be accurately modified with “squishy” transformations like projections, shears, an non-uniform scaling. For example, if you were to apply a non-uniform scale to a circle, which is represented by an ON_ArcCurve curve, the resulting geometry is no longer a circle.

Before transforming your object, you will want to first test to see if the the transformation is a similarity transformation. This can be done by using ON_XForm::IsSimilarity(). See opennurbs_xform.h for more information.

If the transformation is not a similarity, then you should convert the geometry into a form that can be accurately modified. This can be done by using the ON_Geometry::MakeDeformable() override on the geometric object.