Table 4 List of height features.

From: A new strategy based on multi-source remote sensing data for improving the accuracy of land use/cover change classification

Features

Definition/formula

Hmax

Maximum height

Hmean

Mean height

Hmin

Minimum height

Hmed

Median height

Hmed_z

Median of median absolute deviation

Hcv

Coefficient of variation.\(\frac{{Z_{{{\text{s}}td}} }}{{Z_{mean} }} \times 100\%\)

Hkur

Kurtosis of height. Flatness of height distribution for all points in a statistical unit

Hske

Skewness of height. The distortion or symmetry state of a height frequency distribution curve

HAAD

Average absolute deviation,\(\frac{{\sum\nolimits_{i = 1}^{n} {\left( {\left| {Z_{i} - \overline{Z} } \right|} \right)} }}{n}\)

HAIH (15)

Point clouds are sorted according to elevation. AIHX is the height of a laser point that ranks in

the Xth% position in the accumulative curve

Hper (15)

Point clouds are sorted according to elevation. HX is the height of the Xth% point

HIQ

Elevation percentile interquartile distance,\(H75\% - H25\%\)

HAIH IQ

Interquartile distance of accumulative height,\(AIH75\% - AIH25\%\)

HCRR

Canopy relief ratio.\(\frac{mean - min}{{max - min}}\)

HGM2nd

Generalized means for the 2nd power,\(\sqrt[2]{{\frac{{\sum\nolimits_{{i = 1}}^{n} {Z_{i} ^{2} } }}{n}}}\)

HGM3nd

Generalized means for the 3rd power,\(\sqrt[3]{{\frac{{\sum\nolimits_{i = 1}^{n} {Z_{i}^{3} } }}{n}}}\)

HStdDev

Standard deviation of height

HVariance

Height variance

HD (10)

Density metrics. Point clouds are divided into 10 slices with the same interval from low to high elevation. D[N] is the proportion of points in the Nth slice compared to the total points