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Compute Gradient of a Scalar 3-D Field Defined On a non Uniform Grid

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Alessandro
Alessandro 2017-3-31
评论： darova 2021-3-26
I have the values of a scalar Field in 3 dimensions over a randomly arranged set of points in space. How do I calculate the components of the gradient of such function at the same point locations?

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回答（2 个）

Ramesh Rajesh
Ramesh Rajesh 2021-3-25
Did you manage to figure out ? I have same question.
darova
darova 2021-3-25
What about griddata?
% assume x,y,z are your random coordinates
% assume u,v,w are your vectors (gradients)
% assume that you can interpolate Z variable
xx = linspace(min(x(:)),max(x(:)),20);
yy = linspace(min(y(:)),max(y(:)),20);
[x1,y1] = meshgrid(xx,yy); % create regular mesh
z1 = griddata(x,y,z,x1,y1); % interpolate Z coordinate
u1 = griddata(x,y,u,x1,y1); % interpolate gradient U
v1 = griddata(x,y,v,x1,y1); % interpolate gradient V
w1 = griddata(x,y,w,x1,y1); % interpolate gradient W
  2 个评论
Ramesh Rajesh
Ramesh Rajesh 2021-3-26
Thanks for your code. I have data of coordinates in X,Y,Z with a scalar value. The locations of X,Y,Z are random. How do I find gradients (u,v,w) of the random coordinates?

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