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@Anonymous With terrible I am not referring to the underlying NURBS mesh structure but the visual quality.
Faster is a problematic question. If something just takes a minute longer but has much better surface flows is that an issue?
Obviously making this type of a transition just with one fillet command would be ideal - truth to that.
Below is a different example showing you three different.
Left: Typical sharp rounding
Middle: Ball corner approach - at least top face has round corners
Right: All face corners are rounded
The left example is what you see very often being used similar to only using G1 instead of at least G2 for rounding hard edges in consumer product designs.
I bring very often products to class to show my students how lazy very often designers/engineers are and how easily it would have been
to make a better highlight flow with a G2 rounding.