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In combination with the available gradient function, additional adaptation to different assays becomes easily possible.
This gradient function can directly be used as a controlled variable to achieve selfoptimization.
The gradient can be calculated by the Sobel gradient function and the Scharr gradient.
where ∇ θ denotes the vector differential operator or gradient function with respect to θ.
Step 1: Applying the gradient function in x and y direction.
The shape gradient function, the size gradient function, and the optimality conditions for this problem are theoretically derived with the Lagrange multiplier method, the material derivative method, and the adjoint variable method.
(b) One-way travel time of the layered structure (black line) and best-fit velocity gradient function (blue line).
They have proved that the generalized convexity of the function is equivalent to the generalized monotonicity of its gradient function.
Other operators such as Sobel or Perwitt can be used for the gradient function in the above equation.
(a) S-wave velocity structure of the layered structure (black line) and best-fit velocity gradient function (blue line).
Kehtarnavaz et al. chose the square gradient function to measure high-frequency component in the defocused image.
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