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Exploring Diverse Shapes of Bells through Parameterization and Rotational Symmetry

Discover the varied shapes of bells from around the world and learn how to capture and morph them through parametrization. Explore symmetrical shapes, rotational symmetry, torus pieces, cones, and more. Uncover the dependencies and assembly of bell shapes using innovative methods like rotational sweep, Bezier curves, and subdivision surfaces.

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Exploring Diverse Shapes of Bells through Parameterization and Rotational Symmetry

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  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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