Continuous morphing between two parametric surfaces in 3D.
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
, where τ(t
) ϵ [0,1] for ∀t
Also, we multiply a rotation matrix to the result to provide a 360° view of the morphing.