Ron Parker wrote:
> 
> Isosurfaces can be viewed as basic mathematical objects for the sake of
> this exercise, since the approximation is purely visual.  The problem
> of determining whether two "basic mathematical objects" overlap reduces
> to a simple matter of solving a set of simultaneous equations and looking
> for solutions within given ranges.  Unfortunately, the equations you're
> solving aren't necessarily linear or even polynomial.  Presumably it's
> possible to solve such a system for any given combination of objects
> (though not necessarily) but it's either impossible or ridiculously
> difficult to automate the process for any two arbitrary objects.
> 

Seems you are right if you want to make it work for any CSG.  Anyway if
you only need the objects themselves (or unions) it could be reduced to a
set of independent equations.  

After all, whether you need a numerical approximation to solve the problem
is not important in this case.  

Christoph

-- 
Christoph Hormann <chr### [at] gmxde>
IsoWood include, radiosity tutorial, TransSkin and other 
things on: http://www.schunter.etc.tu-bs.de/~chris/

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