Numerical differentiation of a 2-D data set along one dimension

Question

Sweta 2022-8-18

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https://ww2.mathworks.cn/matlabcentral/answers/1781365-numerical-differentiation-of-a-2-d-data-set-along-one-dimension

回答： Chunru 2022-8-18

I have an image with 1000 vertical pixels and 400 horizontal pixels. Now wach pixel has a certain intensity value to it. Now I want to differentiate 1000.400 (z,x) data set in vertical direction i.e. in z. Without using symbolic toolbox how do I perform this calculation numerically.

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Answer 1

Chunru 2022-8-18

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https://ww2.mathworks.cn/matlabcentral/answers/1781365-numerical-differentiation-of-a-2-d-data-set-along-one-dimension#answer_1028490

在 MATLAB Online 中打开

A = randn(4,5)         % Your image
A = 4×5
    0.5670    0.5012    2.1533    0.8796    2.5701
   -0.0521    0.4847   -1.7372   -0.1244   -0.5789
   -0.6350    1.9176    0.6647   -0.1368    0.9675
   -1.0497    0.4211   -0.4037   -1.6222   -0.2422
[Ax, Ay] = gradient(A)
Ax = 4×5
   -0.0658    0.7932    0.1892    0.2084    1.6905
    0.5368   -0.8425   -0.3045    0.5792   -0.4545
    2.5526    0.6499   -1.0272    0.1514    1.1043
    1.4708    0.3230   -1.0216    0.0808    1.3801
Ay = 4×5
   -0.6191   -0.0165   -3.8905   -1.0040   -3.1489
   -0.6010    0.7082   -0.7443   -0.5082   -0.8013
   -0.4988   -0.0318    0.6668   -0.7489    0.1684
   -0.4148   -1.4965   -1.0684   -1.4854   -1.2096