Converting the Domain of an Array

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NH3
NH3 2018-12-5
评论： NH3 2018-12-5
I have an array of m columns by n rows. The array corresponds to locations on a physical geometry, e.g. the value in cell [1,1] corresponds to the temperature at a physical x and y location. How do I convert my array into a function that can be plotted in the physical domain?
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jonas
jonas 2018-12-5
What do you mean? Do you want to fit a surface to your data, plot the scattered data points or interpolate and plot?
NH3
NH3 2018-12-5
编辑：NH3 2018-12-5
Interpolate and plot.
Essentially, I am looking to convert the value in cell [1,1] to a solution to a function when x=0 and y=0, the value in cell [2,1] to the solution to the function when x=0 and y =0.25...and so on.

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jonas
jonas 2018-12-5
编辑：jonas 2018-12-5
Read about scatteredInterpolant and post some data if you need help. Using meshgrid and griddata would probably suffice, but your description leads me to believe scatteredInterpoland is what you're looking for.
Use surf(x,y,z) or contourf(x,y,z) to plot. Note that you must interpolate z to a rectangular grid first, using the functions suggested above.
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jonas
jonas 2018-12-5
I assume your example array denoted x is actually z-data? When you pass a single array to contour, then it is interpreted as z-data and the indices are interpreted as xy-data. You can also pass xy-data to contour, which in your case are spatial coordinates. This can be really easy, if your data is already gridded, and a little bit harder if your data is scattered.
Try this:
T = [1,2,3,4,5;6 7 8 9 10; 11 12 13 14 15];
x = linspace(0,0.25,5);
y = linspace(0,0.1,3)
contourf(x,y,T)

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