The Laplacian ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 4f(x, y)], gives an isotropic result for rotations in increment by what degree?

The Laplacian ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 4f(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

The question was posed to me in final exam.

This intriguing question originated from Use of Second Order Derivative for Enhancement topic in portion Image Enhancement of Digital Image Processing

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The Laplacian ∇^2 f=[f(x + 1, y) + f(x – 1, y) + f(x, y + 1) + f(x, y – 1) – 4f(x, y)], gives an isotropic result for rotations in increment by what degree?

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