====== Metamorphosis ======
{{frep:bcg0.gif?130&nolink}} {{frep:bcg2.gif?130&nolink}} {{frep:bcg5.gif?130&nolink}} {{frep:bcg7.gif?130&nolink}}

Animation:\\
  * [[http://hyperfun.org/bcg.qt.mov|QuickTime (350K)]],
  * [[http://hyperfun.org/bcg.sgi.mov|SGI movie (313K)]] 

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). 

{{frep:fpic_c.gif?nolink}}

A picture shown above illustrates metamorphosis between four "key objects" normally modeled in different representational styles, but unified by F-rep here:\\
  * CSG solid
  * Swept spiral
  * Volumetric teapot
  * Blobby object 

More details and a program code for this example can be found in the paper:

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.
Electronic version: [[http://hyperfun.org/F-rep.ps|PostScript (467K)]] and [[http://hyperfun.org/F-rep.ps.gz|PostScript + gzip (112K)]]