Vertical Integration (INTGZ)

Use the Vertical Integration option to apply a vertical integration filter to the input data.

Vertical Integration dialog options

There are no configurable parameters for this filter.

Click OK to apply the vertical integration filter to the current grid.

Application Notes

The vertical integration filter calculates the vertical integral of the input transform. Mathematically, vertical integration is the inverse operation of the vertical derivative.

Because the vertical derivative amplifies high-frequency components and noise, vertical integration has the opposite effect: it attenuates high-frequency variations and enhances smoother, long-wavelength features.

During processing, the zero wavenumber component (k = 0) is explicitly set to zero to prevent undefined or infinite values in the transform domain.

Vertical Integration

The vertical integration operator is defined as:

L(r) = r^-1

Wavenumber Domain Variable Definitions

The following variables are used in the wavenumber domain:
k	Wavenumber increment, used to depict a radially symmetrical variable.	Where: np: number of points cs: cell size
μ	X-component of the wavenumber.
v	Y-component of the wavenumber.
r	Radial component of the wavenumber.
θ	Angular (polar) component of the wavenumber.