Plotting a vectorial function over a meshgrid.

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Philipp Tscherner
Philipp Tscherner 2018-10-23
编辑： Philipp Tscherner 2018-10-24
Dear MathWorks Community, I would like to plot a vectorial function called mysurface over a 2D area like [0,2]x[0,1]. Basically the function describes a deformation of [0,2]x[0,1] into 3D. When defining a meshgrid [X,Y] = meshgrid(0:0.1:2, 0:0.1:1) I can't simply write mysurface([X,Y]), since [X,Y] isn't a vector. How do I handle that? Also I would like to plot the resulting surface, but using surface[X,Y,Z] wouldn't make sense. I need something like p=mysurface([X,Y]) and plot with surface(p(1),p(2),p(3)) but over all points of the grid. Thank you in advance.
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Guillaume
Guillaume 2018-10-24
It sounds like your input was actually a 3D mesh with all points having Z=0 and your output was the resulting 3D mesh after deformation and you're just plotting that resulting 3D mesh.
In which case, yes it's fairly straightforward. However, I don't understand how summing the X and Y coordinates of the input mesh helps.
Please don't close questions that have an answer. Even if the answer is not what you were looking for.
Philipp Tscherner
Philipp Tscherner 2018-10-24
编辑：Philipp Tscherner 2018-10-24
Yes you could identify (x, y) = (x, y, 0). As already said I created 3 matrices Z1, Z2, Z3. Mysurface gets the 2D mesh point (x, y) and returns the deformed point p. Summing over all x, y (the indices i, j have to run accordingly) I can define my deformed surface by Z1, Z2, Z3 and finally plot the resutling surface. Although I know it works, I'm not sure if that's the prettiest way to solve the problem:
p = mysurface(x, y)
Zk(i, j) = p(k)
surf(Z1, Z2, Z3)

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KSSV
KSSV 2018-10-24
V = [2 3] ;
L = V(1) ; % length of the plate
B = V(2) ; % breadth of the plate
N = 100 ;
x = linspace(0,L,N) ;
y = linspace(0,B,N) ;
[X,Y] = meshgrid(x,y) ;
mesh(X,Y)

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