shape defomation from "x" to "o"

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how can I make a 3d shape whose section is changing from “x” to “o”, like the picture show below, here is the paper by Greg Turk(http://www.cc.gatech.edu/~turk/my_papers/schange.pdf), [cc.gatech.edu] I wonder if it is possible using houdini volumn system to get the same effects. Hope someone could offer some ideas. thanx.

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xo.jpg (30.9 KB)

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sections

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xo_2.jpg (21.5 KB)

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implementing the technique used in this paper seems pretty complex since there are no built in tools for fitting parametric surfaces to volumes (i think that's what this paper is describing).

this paper does talk about a technique which is very easy to do in houdini


the signed distance function (sometimes called the distance
transform) is an implicit function that gives very plausible
intermediate shapes even when used with simple linear interpolation
of the function values of the two shapes.

Doing this linear interpolation between sdfs is really easy in houdini and gives high quality results. I attached an example.

good luck doode

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sdf_blend.hip (389.1 KB)

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thanks very much. you are really a nice person.
I learn a lot from your network.
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