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From: S O on 12 Feb 2010 13:50
I am trying to use a few vectors (between 2 and 36) to generate an estimate of the entire vector field in 2D. That is I have the vector magnitude, direction & origin of several vectors and I would like to generate the entire 2D vector field. Any examples or ideas on how to get this done?
From: Lorenzo Guerrasio on 12 Feb 2010 14:09
you should bin your vectors according their origin and then compute the mean vector. You might want to use values of neighbour bins to fill empty bins.

"S O" <sjo2008(a)gmail.com> wrote in message <hl47tg$ok1$1(a)fred.mathworks.com>...
> I am trying to use a few vectors (between 2 and 36) to generate an estimate of the entire vector field in 2D. That is I have the vector magnitude, direction & origin of several vectors and I would like to generate the entire 2D vector field. Any examples or ideas on how to get this done?
From: S O on 12 Feb 2010 14:43
I only have a few vectors to begin with so I cannot simply take a tally. I need to extrapolate a "possible vector field" given only a very few vectors (i.e about 16 each with different origins). I do however know that the vector field only rotates once about a point & shifts once linearly. That is it rotates and shifts once.

Another way to think of it is that the entire field is fixed with respect to itself but rotates about a moving point.

"Lorenzo Guerrasio" <lorenzo.guerrasio(a)email.it> wrote in message <hl4911$7md$1(a)fred.mathworks.com>...
> you should bin your vectors according their origin and then compute the mean vector. You might want to use values of neighbour bins to fill empty bins.
>
> "S O" <sjo2008(a)gmail.com> wrote in message <hl47tg$ok1$1(a)fred.mathworks.com>...
> > I am trying to use a few vectors (between 2 and 36) to generate an estimate of the entire vector field in 2D. That is I have the vector magnitude, direction & origin of several vectors and I would like to generate the entire 2D vector field. Any examples or ideas on how to get this done?
From: Steven Lord on 16 Feb 2010 22:39

"S O" <sjo2008(a)gmail.com> wrote in message
news:hlf9ia$iqj$1(a)fred.mathworks.com...
>I am trying to write a code that has the following input output
>capabilities. I want to input (a few vectors & their origins) and output
>(a vector field expression).
> For example, input vector & origin pairs:
> <0,4> at (-2,-2)
> <-4,-4> at (-2,2)
> <4,-4> at (2,-2)
> <0,4> at (2,2)
> <0,0> at (0,0)
> <0,2> at (-2,0)
> <0,-2> at (2,0)
> <2,0> at (2,0)
> <-2,0> at (2,0)
>
> And output a vector field:
>
> F=<x-y,x*y>
>
> Is this possible?

What is your desired output? Do you want a graph of the vectors? If so,
look at QUIVER.

--
Steve Lord
slord(a)mathworks.com
comp.soft-sys.matlab (CSSM) FAQ: http://matlabwiki.mathworks.com/MATLAB_FAQ


From: S O on 16 Feb 2010 18:26
I am trying to write a code that has the following input output capabilities. I want to input (a few vectors & their origins) and output (a vector field expression).

For example, input vector & origin pairs:
<0,4> at (-2,-2)
<-4,-4> at (-2,2)
<4,-4> at (2,-2)
<0,4> at (2,2)
<0,0> at (0,0)
<0,2> at (-2,0)
<0,-2> at (2,0)
<2,0> at (2,0)
<-2,0> at (2,0)

And output a vector field:

F=<x-y,x*y>

Is this possible?
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