Resolution of a plotted function

Question

simira atraqi 2012-4-17

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https://ww2.mathworks.cn/matlabcentral/answers/35737-resolution-of-a-plotted-function

回答： Rishi 2023-12-30

Hello Everyone,

I need to put this function (f) in a matrix to print it as a figure, but how can I put it in the same matrix (4001, 3001) with two resolutions (1um, 2um) and the same wavelength 100um?

May someone please help me in solving this query.

Thanks

   f = @(x) 3*sin(x*2*pi/wavelength) + 1003;
  % The function for the sine wave with the 
  % amplitude 3 µm and wave length of about 100 µm.
  %Mean level is 1003 µm.

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Answer 1

Rishi 2023-12-30

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https://ww2.mathworks.cn/matlabcentral/answers/35737-resolution-of-a-plotted-function#answer_1380581

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Hello Simira,

I undersrand that you want to know how to use same function 'f' with two different resolutions in a matrix of same size.

Here is the code to do the same, assuming that the matrix dimensions refer to the number of data points:

wavelength = 100; 
matrix_size_x = 4001; % number of points in the x-dimension
matrix_size_y = 3001; % number of points in the y-dimension
f = @(x) 3*sin(x*2*pi/wavelength) + 1003;
[x_1um, y_1um] = meshgrid(0:1:(matrix_size_x-1), 0:1:(matrix_size_y-1));
matrix_1um = f(x_1um);
[x_2um, y_2um] = meshgrid(0:2:(2*matrix_size_x-2), 0:2:(2*matrix_size_y-2));
matrix_2um = f(x_2um);
figure;
imagesc(matrix_1um);
colorbar;
title('Function f at 1um resolution');
figure;
imagesc(matrix_2um);
colorbar;
title('Function f at 2um resolution');