If you were Registered and logged in, you could reply and use other advanced thread options
|
Posted by David Combs on November 2, 2009, 1:21 am
show/hide quoted text
>SteveB wrote:
>> How do I figure the area of a pool from the perimeter? It is a kidney
>> shaped (exaggerated) pool.
>You can estimate the area by overlaying the circumference of a couple of
>circles, figuring the area of each, then adding those areas together. Take
>the remaining area not covered by your circles, and estimate that area,
>adding it to the previous area to obtain your final rough estimate.
>Jon
Circles, triangles, etc. Maybe just triangles.
That's what they've been doing since the beginning
of computer graphics, for "filling" closed curves
with colors, say.
Stupidly, I forget the generic term for computing a set
of triangles to, to some approximation, "fill" an area.
And to figure an approaching-optimum set of triangles,
ie the FEWEST number of them (differently sized, of course)
to fill an area. Triangles REALLY easy to compute, so easy
that long ago they designed chips to do it "in hardware",
REALLY quickly.
A picture might contain a jillion triangles, so doing them
fast is important. Especially if you're doing it "in real time",
ie like in an animation.
Not that I've ever done any of this stuff, nor even
taken a class in it. But I am a mamber of ACM "SigGraph",
and once a year get this heavy book of the yearly "proceedings" --
man, you have to be a physicist to do some of that stuff,
and you want to see applications of REALLY hairy math,'
and REALLY clever algorithms, you'll see them there.
Again, not that I actually understand it all, but I can at
least read *parts* of *most* (well, many) of the included
"papers". Nifty stuff indeed!
Oh, there's a newsgroup that's related: comp.graphics.algorithms,
where I sometimes ask (my usual stupid) questions.
David
|
|
Posted by mike on October 7, 2009, 4:18 pm
show/hide quoted text
> How do I figure the area of a pool from the perimeter? =A0It is a kidney
> shaped (exaggerated) pool.
> Steve
If accuracy is important, I'd use the Simpson's Rule formula, where
you take measurements across the pool at interals and plug those
distances into the formula. You also have to plug the interval
distance into the formula.
Why do you ask?
http://tinyurl.com/y9h7av5
The hard part is Googling a web page that presents the formula in an
easy to understand manner for novices.
|
|
Posted by mike on October 7, 2009, 4:27 pm
show/hide quoted text
> The hard part is Googling a web page that presents the formula in an
> easy to understand manner for novices.
Found something. See problem #6 in the following link. It shows an
example without too much math jargon
http://tinyurl.com/y9cphfy
|
|
Posted by David Nebenzahl on October 7, 2009, 4:44 pm
On 10/7/2009 1:18 PM mike spake thus:
show/hide quoted text
>
>> How do I figure the area of a pool from the perimeter? It is a kidney
>> shaped (exaggerated) pool.
>
> If accuracy is important, I'd use the Simpson's Rule formula, where
> you take measurements across the pool at interals and plug those
> distances into the formula. You also have to plug the interval
> distance into the formula.
Ackshooly, that's called "Simpson's approximation", but yes, it does
work as you described. It's a weighted-average method of approximating
the area under a curve.
--
Found--the gene that causes belief in genetic determinism
|
|
Posted by mike on October 7, 2009, 4:52 pm
show/hide quoted text
> Ackshooly, that's called "Simpson's approximation", but yes, it does
> work as you described. It's a weighted-average method of approximating
> the area under a curve.
Wikipedia says it's Simpson's Rule:
http://en.wikipedia.org/wiki/Simpson's_rule
I never argue with Wikipedia when it agrees with me.
|
Page 6 of 19 < 1 2 3 > last >>
| Similar Threads | Posted | | What Math Conversions Do You Need? | October 11, 2007, 1:17 pm |
| Need help with math for roof pitch | August 30, 2006, 9:48 am |
| Simple math in shell script | February 11, 2006, 5:25 pm |
| Insulation Measurment - Funny Math | October 8, 2008, 11:05 am |
| electrical math - ground rods | January 23, 2010, 3:34 pm |
| Concrete question (regarding previous plumbing question) | October 17, 2006, 2:29 pm |
| AC and fan question | July 17, 2005, 6:59 pm |
| Yet another A/C question............... | July 19, 2005, 11:33 pm |
| AC question | August 21, 2005, 10:29 pm |
| A/C Question | August 24, 2005, 10:21 pm |
|
|
Yahoo! 
Google 
Windows Live 
del.icio.us 
digg 
Netscape 
XML Sitemap
>> How do I figure the area of a pool from the perimeter? It is a kidney
>> shaped (exaggerated) pool.
>You can estimate the area by overlaying the circumference of a couple of
>circles, figuring the area of each, then adding those areas together. Take
>the remaining area not covered by your circles, and estimate that area,
>adding it to the previous area to obtain your final rough estimate.
>Jon