Hah! That was quick.
isosurface VOLUME
reports the volume of the isosurface and stores this number in the
isosurfaceVolume variable.
Turns out it is just
SUM ( v1 dot (v2 x v3) )
over all the triangles, where v1, v2, and v3 are the three vertices.
How convenient!
Don't expect meaningful results with unclosed isosurfaces....
Bob
On Thu, Feb 12, 2009 at 9:39 PM, Robert Hanson <[email protected]> wrote:
> Well, I suppose so! We know which corners are "inside" and which are
> "outside", so we should be able to make that assessment, and beyond that
> it's just a combination of simple shapes. Good thinking, Matt.
>
> I wasn't planning on sleeping tonight anyway....
>
> Bob
>
>
>
> On Thu, Feb 12, 2009 at 6:53 PM, Matthew Zwier <[email protected]> wrote:
>
>> On Thu, Feb 12, 2009 at 7:28 PM, Robert Hanson <[email protected]>
>> wrote:
>> > I have added the "AREA" keyword to the isosurface command. No idea how
>> you
>> > would calculate the volume...
>>
>> I might be speaking out of ignorance here...but the JVXL code uses a
>> marching cubes algorithm to characterize the surface...could the code
>> be adapted to act as an integrator? "The isosurface contains N
>> complete cubes of side length L" or something? It'd necessarily be
>> approximate (in very much the same sense that a Riemann sum
>> approximation of an integral is), but it'd be a very quick and easy
>> first-order approximation if it were possible.
>>
>> Matt Z.
>>
>>
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>
>
>
> --
> Robert M. Hanson
> Professor of Chemistry
> St. Olaf College
> 1520 St. Olaf Ave.
> Northfield, MN 55057
> http://www.stolaf.edu/people/hansonr
> phone: 507-786-3107
>
>
> If nature does not answer first what we want,
> it is better to take what answer we get.
>
> -- Josiah Willard Gibbs, Lecture XXX, Monday, February 5, 1900
>
--
Robert M. Hanson
Professor of Chemistry
St. Olaf College
1520 St. Olaf Ave.
Northfield, MN 55057
http://www.stolaf.edu/people/hansonr
phone: 507-786-3107
If nature does not answer first what we want,
it is better to take what answer we get.
-- Josiah Willard Gibbs, Lecture XXX, Monday, February 5, 1900
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-OSBC tackles the biggest issue in open source: Open Sourcing the Enterprise
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