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Area Roughness Parameters

S10z (Ten-point height) / S5p (Five-point peak height) / S5v (Five-point pit height) / Sda(c) (Mean dale area) / Sha(c) (Mean hill area) / Sdv(c) (Mean dale volume) / Shv(c) (Mean hill volume)


Watershed algorithm

The watershed algorithm is employed to partition regions, which are used in the calculation of feature parameters.

Water is poured into the surface landscape and runs along the surface shape and reaches the pit. As more water continues to pour, the water surfaces of water filling different pits make contact with each other. The set of these contact points is the ridge line that partitions the dale region. The same approach can be applied to the hill region by vertically inverting the process.

Wolf pruning

Peaks and pits merely need to be higher or lower than other points in their respective neighborhoods. For this reason, a surface with fine asperity can have a vast number of peaks and pits. Applying the watershed algorithm to such surfaces can result in meticulous segmentation into minute peak and valley regions. In order to suppress this over-segmentation, the wolf pruning method is used to remove regions below a certain height/depth threshold.

The threshold is provided as a percentage of the maximum height (Sz) of the surface. The default value is 5%.

S10z (Ten-point height)

Closed area, Open area

A region that is in contact with the boundary of the definition area at the material height c is called an "open area," while a region that is not is called a "closed area." Height c is given in areal material ratio and the default value is 50%.

Find from the parameter list

Height Sa (arithmetical mean height)
Sz (Maximum height)
Sq (Root mean square height)
Ssk (Skewness)
Sku (Kurtosis)
Sp (Maximum peak height)
Sv (Maximum pit height)
Spatial Sal (Auto-correlation length) / Str (Texture aspect ratio)
Std* (Texture direction)
Hybrid Sdq (Root mean square gradient)
Sdr (Developed interfacial area ratio)
Functional Smr(c) Areal material (bearing area) ratio
Smc(mr) Inverse areal material ratio
Sk (Core roughness depth)
Spk (Reduced peak height)
Svk (reduced dale height (reduced valley depth))
Smr (Peak material portion)
Smr2 (Valley material portion)
Sxp (Peak extreme height)
Functional volume Vvv (Dale void volume)
Vvc (Core void volume)
Vmp (Peak material volume)
Vmc (Core material volume)
Feature Spd (Density of peaks)
Spc (Arithmetic mean peak curvature)
S10z / S5p / S5v / Sda(c) / Sha(c) / Sdv(c) / Shv(c)

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