how to implement these equations in Matlab?

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ghada sandoub
ghada sandoub 2020-10-1
编辑： VBBV 2020-10-2
I have the following equations
where and represent the first-order derivative of matrix I . I tried to implement these equations in matlab using the following lines:
fx = diff(I,1,2);
fx = padarray(fx, [0 1 0], 'post');
fy = diff(I,1,1);
fy = padarray(fy, [1 0 0], 'post');
Gx = -log10(fx);
Gy = -log10(fy);
however, the value of Gx and Gy are complex numbers which means that these equations don't implemented correctely. does anyone know how to implement these equations correctely in matlab? any help will be appreciated.
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John D'Errico
John D'Errico 2020-10-2
natural log vs log10 is irrelevant. If one gives complex, than so will the other.
The log of a negative number is complex. Taken to ANY base.
VBBV
VBBV 2020-10-2
编辑：VBBV 2020-10-2
Check if fx and fy Is producing negative values. Also verify the initial conidtions for generating I matrix used as input to diff function

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