Metamorphosis (shape transformation, morphing) between two functionally represented objects can be described by the interpolation between their defining functions. Such interpolation procedure defines a homotopy map in n+1-dimensional space. This makes possible metamorphosis between a blobby object and a constructive solid (frames shown above).
A picture shown above illustrates metamorphosis between four "key objects" normally modeled in different representational styles, but unified by F-rep here:
Pasko A.A.,
Adzhiev V.D.,
Sourin A.I.,
Savchenko V.V.
"Function representation
in geometric modeling: concepts, implementation and applications",
The Visual Computer, vol.11, No.8, 1995, pp.429-446.
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