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Topic: Calculating the area of a closed 3-D path or ring
Replies: 23   Last Post: Mar 25, 2013 4:54 PM

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Math Guy

Posts: 20
Registered: 5/21/05
Re: Calculating the area of a closed 3-D path or ring
Posted: Mar 16, 2013 9:42 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Math Guy wrote:

> A closed loop (an irregular ring) is defined by a set of n points
> in space.
>
>
> I am looking for a numerical-methods formula or algorythm to
> calculate the "area" of such a ring...


In case anyone's interested, here is some example data:

http://www.fileden.com/files/2008/7/19/2010361/data.xls

http://www.fileden.com/files/2008/7/19/2010361/data.txt

They contain the same data - the txt file is just a tab-delimited ascii
text dump of the data in the xls file.

First column is time, the next 27 columns are the {x,y,z} sets for 9
marker coordinates.

About 260 rows representing about 1.7 seconds worth of data.

The markers are numbered in correct path-order from 1 to 9 (and back to
1).


Date Subject Author
3/12/13
Read Calculating the area of a closed 3-D path or ring
Math Guy
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Nicolas Neuss
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Peter Spellucci
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Shmuel (Seymour J.) Metz
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Frederick Williams
3/13/13
Read Re: Calculating the area of a closed 3-D path or ring
Brian Q. Hutchings
3/14/13
Read Re: Calculating the area of a closed 3-D path or ring
fom
3/14/13
Read Re: Calculating the area of a closed 3-D path or ring
fom
3/14/13
Read Re: Calculating the area of a closed 3-D path or ring
Math Guy
3/15/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/15/13
Read Re: Calculating the area of a closed 3-D path or ring
Math Guy
3/15/13
Read Re: Calculating the area of a closed 3-D path or ring
fom
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
fom
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
Math Guy
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
fom
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/15/13
Read Re: Calculating the area of a closed 3-D path or ring
Peter Spellucci
3/16/13
Read Re: Calculating the area of a closed 3-D path or ring
Math Guy
3/17/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/17/13
Read Re: Calculating the area of a closed 3-D path or ring
Math Guy
3/18/13
Read Re: Calculating the area of a closed 3-D path or ring
Ray Koopman
3/25/13
Read Re: Calculating the area of a closed 3-D path or ring
Gib Bogle

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