The Laplacian incorporated with diagonal directions, i.e. ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 8f(x, y)], gives an isotropic result for rotations in increment by what degree?

The Laplacian incorporated with diagonal directions, i.e. ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 8f(x, y)], gives an isotropic result for rotations in increment by what degree?

(a) 90^o

(b) 0^o

(c) 45^o

(d) None of the mentioned

I have been asked this question by my college professor while I was bunking the class.

Query is from Use of Second Order Derivative for Enhancement topic in section Image Enhancement of Digital Image Processing

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The Laplacian incorporated with diagonal directions, i.e. ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 8f(x, y)], gives an isotropic result for rotations in increment by what degree?

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