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Exploring Diverse Shapes of Bells through Parameterization and Rotational Symmetry

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Presentation Transcript

  1. 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

  2. Use Rotational Symmetry • Start with a piece of a sphere:

  3. Use Rotational Symmetry • Add a lip at bottom rim (torus piece):

  4. Parametrization • What variables are most useful? R1 R3 a1 R2 a2 Need to calculate dependencies! (R3)

  5. Another “Assembly” • Add an intermediate cone • Turn bottom rim inward • Optional Affine stretching

  6. A Different Approach • Use a rotational sweep Bezier Curve Profile

  7. Another Sweep • Sweep a circle of varying radius along a straight path.

  8. Subdivision Surface • Start with polyhedral approximation

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