BELLS • Bells can have many different shapes • Some examples from around the world • How to capture these shapes ? • In a parameterized form, • so that we can “morph” between them? • Start with simple symmetrical shape
Use Rotational Symmetry • Start with a piece of a sphere:
Use Rotational Symmetry • Add a lip at bottom rim (torus piece):
Parametrization • What variables are most useful? R1 R3 a1 R2 a2 Need to calculate dependencies! (R3)
Another “Assembly” • Add an intermediate cone • Turn bottom rim inward • Optional Affine stretching
A Different Approach • Use a rotational sweep Bezier Curve Profile
Another Sweep • Sweep a circle of varying radius along a straight path.
Subdivision Surface • Start with polyhedral approximation