Surface Morphing

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Continuous morphing between two parametric surfaces in 3D.

Contributed by: Yu-Sung Chang (September 2007)
Open content licensed under CC BY-NC-SA


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Details

This Demonstration shows morphing between a plane, a sphere, a torus, a cylinder, a Möbius strip, and a sine surface using a continuous transition function.

For any two surfaces which can be defined by continuous parametrizations :[, , ] → , the transition function can be assigned as: π)=(1 - τ(t)) + τ(t) , where τ(t) ϵ [0,1] for ∀t ϵ [0,1].

Also, we multiply a rotation matrix to the result to provide a 360° view of the morphing.



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