Surface Morphing

Continuous morphing between two parametric surfaces in 3D.

THINGS TO TRY

SNAPSHOTS

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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)) f1+ τ(t) f2, 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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