CS 284. Minimum Variation Surfaces Carlo H. Séquin EECS Computer Science Division University of California, Berkeley. Smooth Surfaces and CAD. Smooth surfaces play an important role in engineering. Some are defined almost entirely by their functions Ships hulls Airplane wings
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Minimum Variation SurfacesCarlo H. Séquin
EECS Computer Science Division
University of California, Berkeley
Smooth surfaces play an important role in engineering.
What is a “ beautiful” or “fair” geometrical surface or line ?
Soap films in wire frames:
Natural beauty functional:
“Volution 0” --- “Volution 5”Minimal surfaces of different genus.
Start with a crude
We need another functional !
Use thin-plate (Bernoulli) “Elastica”
Closely related to minimal area functional:
Shapes get worse for MES as we go to higher genus …
Things get worse for MES as we go to higher genus:
MVSkeep nice toroidal arms