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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 17, 2013 7:33 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Ray Koopman wrote:

> This set of data seems quite well conditioned. All the projections
> into the best-fit planes give convex polygons, with their vertices
> in the order given. The areas of the polygons range from 699 to 933.
> A plot of the areas as a function of time makes it obvious that the
> 264 points cover 3 beats of the heart. This can also be seen if you
> view the polygons successively, as a movie.


How do the polygon area plots compare with the more simple area method
(sum of triangles using computed centroid) ?


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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