morphing 2d geometries

Does anyone know how to take two simple geometries (say, circle and square) and generate the intermediate steps/geometries in transforming one to another? Is this at all possible?

Thanks

Replies to This Discussion

Permalink Reply by David Rutten on September 11, 2009 at 5:42pm

A very naive approach:

Permalink Reply by J Short on September 11, 2009 at 6:31pm

Thanks a lot David. I had ended up doing a similar operation, but using a division+slider and listitem+slider instead of Eval, which seemed clunky.

If this is the naive approach, what's the more advanced/elegant technique? Is there one?
Thanks again

Permalink Reply by David Rutten on September 11, 2009 at 7:59pm

The way I've seen people do this in Rhino is to Loft, then extract iso-curve. Might also be an interesting approach.

Permalink Reply by Pranzy on September 14, 2015 at 2:24am

Hi David,

what if I want these 3 curves to be morphed onto a single surface in the same order; that means first the starting curve den transforming to the last curve through the intermediate curve?? can that be done?? this is urgent !!

Thanks

Permalink Reply by David Rutten on September 14, 2015 at 3:06am

Yes lofting will take more than two curves, though I'm not sure you're guaranteed to get a surface which will give you exactly the intermediate curve when evaluated in the middle. If the curves are topologically identical (same degree, same number of control-points, same control-point weight, same knot-vector) you can interpolate them more directly.

If you can post your curves we don't have to talk in the abstract.

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