Compute the Second Order Derivative of Digital Image with Finite Differences

1. What is the second derivative of an image?
2. What is value of 2nd order derivative in an image with constant areas?
3. How do you find derivative of second order?

What is the second derivative of an image?

The 2nd derivative of an image where the image highlights regions of rapid intensity change and is therefore often used for edge detection zero crossing edge detectors.

What is value of 2nd order derivative in an image with constant areas?

Explanation: The second order derivative of a digital function is defined as: Must be zero in the flat areas i.e. areas of constant grey values.

How do you find derivative of second order?

The second derivative of a function f(x) is usually denoted as f”(x). It is also denoted by D²y or y₂ or y” if y = f(x). If f'(x) is differentiable, we may differentiate (1) again w.r.t x. Then, the left-hand side becomes d/dx(dy/dx) which is called the second order derivative of y w.r.t x.