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Forum index » Science and Technology » Math » Undergraduate
Definition of Isocontour
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Michael Wyrzykowski
science forum beginner


Joined: 13 Jun 2006
Posts: 1

PostPosted: Tue Jun 13, 2006 5:59 pm    Post subject: Definition of Isocontour Reply with quote

Does anyone know the definition of "isocontour" off hand. It sounds like something I learned in calculus but have forgotten.

Thanks.
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William Elliot
science forum Guru


Joined: 24 Mar 2005
Posts: 1906

PostPosted: Wed Jun 14, 2006 2:53 am    Post subject: Re: Definition of Isocontour Reply with quote

On Tue, 13 Jun 2006, Michael Wyrzykowski wrote:

Quote:
Does anyone know the definition of "isocontour" off hand. It sounds like
something I learned in calculus but have forgotten.

Given a surface f(x,y,z) = 0, the isocontours at height c,
are the curves f(x,y,c) = 0. Graphically in R^3 they are
{ (x,y,c) | f(x,y,c) = 0 }

When the surface is z = g(x,y), the isocontours at height c
are the curves g(x,y) = c. Graphically in R^3 they are
{ (x,y,c) | g(x,y) = c }
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David C. Ullrich
science forum Guru


Joined: 28 Apr 2005
Posts: 2250

PostPosted: Wed Jun 14, 2006 10:03 am    Post subject: Re: Definition of Isocontour Reply with quote

On Tue, 13 Jun 2006 13:59:47 EDT, Michael Wyrzykowski
<wyrzym@gmail.com> wrote:

Quote:
Does anyone know the definition of "isocontour" off hand. It sounds like something I learned in calculus but have forgotten.

That's a fancy word for "level set".

Quote:
Thanks.


************************

David C. Ullrich
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