Procedures

Function that returns the Abbott’s curve in a svg file as well as smrk1, smrk2, spk, svk, sk

Function that returns the acf of an array.

Function to calculate the median value of a series.

Function to calculate the statistical moments of an array with mask, of shape dim. 1 or 2

Function to calculate the statistical moments of a 1D array with mask, see calc_moments

Return the area of a surface

Return the asfc of a surface regarding the default parameter method_asfc

Return the asfc of a surface. The different grids are obtained by Hermite interpolation

Return the asfc of a surface. The different grids are obtained by linear interpolation

Return the asfc of a surface. The different grids are obtained by spline of degree 3

Function that returns the fraction of surface nearly horizontal (normal less than 5 degrees from a vertical line)

Function that returns ellipse_acf parameters calculated on the autocorrelation function. But prior to the acf calculation, the mean plane is subtracted.

Calculate the number of cells in a mask, as well as the cell median size

Function to calculate the double derivatives of a 2D array

Function to calculate the gaussian curvature of a 2D array, its mean quadratic value and the gradient mean quadratic value

Height mask without deepest pits and highest peaks

Function to provide the interpolation functions of a QU9 element, as well as its derivatives

Fitting function partial derivatives.

1D shape function derivative, quadratic case.

2D shape function $\eta$ derivative, quadratic case.

2D shape function $\xi$, $\eta$ derivative, quadratic case.

2D shape function $\xi$ derivative, quadratic case.

Function that returns p_acv which contains parameters on anisotropy.

Perform erosion or dilation on a binary mask depending on the value of act. The operations utilize a defined kernel to affect neighboring pixels based on the specified val

Fitting function.

Classical Gaussian filter

Perform some kind of flood fill or connected component labeling on a grid (masque), starting from an initial ‘1’ element found and spreading out to adjacent ‘1’ elements, updating them to a specified value or zero if no value (niv) is specified.

Function to calculate the double derivatives of a 2D array

Gaussian kernel

Function to calculate the gradient of a 2D array

Function that gives the nodal height gradients

Function that returns the fractal dimension with the box counting method

Function that initializes the fitting tanh function f_boltz parameters.

Function to output the extrema of a 2D array, as peaks, valleys or saddles.

Function to label a point as: peak, valley, saddle or nothing particular

Function that returns the location of an element in a vector.

Function that returns the location of an element in a vector.

The subroutine generates a composite mask based on specified parameters. The mask is filled with a number of shapes (in this case, ellipses) placed randomly within a defined area, while ensuring that the shapes do not overlap.

Mask a region within a given shape (for the moment an ellipsis)

A bit more complex filter: the overall height standard deviation is taken into account

Very classical smoothing

Morphological filter: uses combinations of roll_smooth to provide all kind of transformation :

Function that returns simple_anisotropy min, max and max/min for different Gaussian filter cutoff

1D shape function, quadratic case.

2D shape function, quadratic case.

Function to calculate and output the peaks and pits curvatures as well as then mean quadratic gradient value and the mean quadratic curvature value.

Generate a random normal deviate using the polar method.

Vector of reals that follow a normal law

A ball of radius “ray” rolls on / below the surface, hence defining a closing or an opening enveloppe.

scramble a vector of reals

Function that returns some anisotropy parameters calculated on a polar representation, for each angle from 0 to 179

Function to smooth out a 2D array: each point is replaced by a weighted mean of its neighbors.

Function that returns the relative area of a surface minus 1.

Function to test the capicity in detecting peaks, pits and saddles in a simple double sinus surface.

Function to test the function “labelize_point” on a QU9 domain with a 2nd order polynomial along x and y

Function to test the function “peaks_and_pits_curvatures” on a real rough surface. Outputs surface gradients and curvatures as 2D arrays or single values.

The function performs the following operations on a surface: