How to make surf plot have different x scales?

Question

Sharon 2023-11-19

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2049347-how-to-make-surf-plot-have-different-x-scales

评论： Voss 2023-11-20

Hi there,

I have plotted a 2D graph using the surf(x,t,w) function first and then using the view(2) commend. The W is a 2000x11matrix. x denotes space and is the 1x11 vector. t denotes time and is the 1x2000 vector. Now I want to rescale space x. For each time t, x is rescaled differently. For example, when t=t_1, x is rescaled to 1.2x (each element in the vector x is multiplied by 1.2); when t=t_2, x is rescaled to 1.5x (each element in the vector x is multiplied by 1.5); and so on. How can I achieve this? Any help would be appreciated! Attached is the graph I get.

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Answer 1

Voss 2023-11-19

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2049347-how-to-make-surf-plot-have-different-x-scales#answer_1356042

在 MATLAB Online 中打开

% define t,x,W variables:

Nx = 11;

Nt = 2000;

W = (Nx:-1:1).*(Nt:-1:1).'/4500;

t = linspace(0,200,Nt);

x = linspace(0,1,Nx)

x = 1×11

0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000

% plot original:

figure

surf(x,t,W,'EdgeColor','none')

view(2)

xlabel('x')

ylabel('t')

colormap(jet())

colorbar

title('original')

% generate factors to multiply x by, one for each element of t:

x_factor = 1.2+0.3*(0:Nt-1) % 1.2, 1.5, and so on

x_factor = 1×2000

1.2000 1.5000 1.8000 2.1000 2.4000 2.7000 3.0000 3.3000 3.6000 3.9000 4.2000 4.5000 4.8000 5.1000 5.4000 5.7000 6.0000 6.3000 6.6000 6.9000 7.2000 7.5000 7.8000 8.1000 8.4000 8.7000 9.0000 9.3000 9.6000 9.9000

% make matrices called tt (from t) and xx (from x and x_factors)

% t gets replicated:

tt = repmat(t(:),1,Nx);

% x gets multiplied by the factors:

xx = x.*x_factor(:)

xx = 2000×11

0 0.1200 0.2400 0.3600 0.4800 0.6000 0.7200 0.8400 0.9600 1.0800 1.2000 0 0.1500 0.3000 0.4500 0.6000 0.7500 0.9000 1.0500 1.2000 1.3500 1.5000 0 0.1800 0.3600 0.5400 0.7200 0.9000 1.0800 1.2600 1.4400 1.6200 1.8000 0 0.2100 0.4200 0.6300 0.8400 1.0500 1.2600 1.4700 1.6800 1.8900 2.1000 0 0.2400 0.4800 0.7200 0.9600 1.2000 1.4400 1.6800 1.9200 2.1600 2.4000 0 0.2700 0.5400 0.8100 1.0800 1.3500 1.6200 1.8900 2.1600 2.4300 2.7000 0 0.3000 0.6000 0.9000 1.2000 1.5000 1.8000 2.1000 2.4000 2.7000 3.0000 0 0.3300 0.6600 0.9900 1.3200 1.6500 1.9800 2.3100 2.6400 2.9700 3.3000 0 0.3600 0.7200 1.0800 1.4400 1.8000 2.1600 2.5200 2.8800 3.2400 3.6000 0 0.3900 0.7800 1.1700 1.5600 1.9500 2.3400 2.7300 3.1200 3.5100 3.9000

% plot rescaled result:

figure

surf(xx,tt,W,'EdgeColor','none')

view(2)

xlabel('x')

ylabel('t')

colormap(jet())

colorbar

title('rescaled')

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Sharon 2023-11-20

Hi Voss, thank you very much for answering my question. It is very helpful. I have a question. What is the variable W you defined? Could you explain it a little? Thanks.