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Here's something I'd like to see someone try.

Take pictures of a 3D object from say 100 different angles, remembering which angles they were. Now, use this mona lisa algorithm to put 3D polygons inside a box of sufficient size, keep those that most look like the original object when looked at from all those angles.

Will you get a compressed 3D representation of an object this way?



Usually these type of inverse problems are severely ill-defined. There can be many 3D configurations that give the 2D images, and you need to use some knowledge of the world (or some regularization) to select which one is the most plausible.

A typical application is when they measure brain signals at the surface of the brain and then try to reconstruct what happens inside. Have people thought of using genetic algorithms and other stochastic methods ? Probably yes.


That is a really exciting application. Keep in mind that "compressed" normally implies a lossless representation, not lossy, like you are proposing.




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