Table 2 First and second order textural markers.

From: A novel computer-aided diagnostic system for accurate detection and grading of liver tumors

Textural marker

Definition

First order

Mean (\(\mathrm {\mu }\))

Represents the gray-level values balance point of each object. It is calculated simply by getting the average gray-level value for each object.

Variance

Describes the gray-level distribution around our computed Mean.

Skewness

Expresses how the gray-level values are asymmetrically distributed around the Mean of the object.

Kurtosis

Measures to what extent the gray-level values are concentrated towards the tails of the distribution.

Entropy

Expresses the amount of randomness within each structure gray-level values.

CDFs

Return the cumulative distribution function of the histogram density values. This is calculated along the whole object and getting the cumulative sum of the gray-level values (Normalized to [0 to 1] at multiple positions (from 0 to 100% of the object with a 10% step).

Percentiles

Calculate the percentiles of gray-level values for the corresponding CDFs.

Second order

Contrast

Measures the disparity in gray-level values between neighbors.

Dissimilarity

Finds to what extent voxels are different from their neighbors.

Homogeneity

Expresses the inverse difference moment among neighbors.

Angular second moment (ASM)

Determines the gray-levels local uniformity (orderliness).

Energy

The square root of the ASM.

Correlation

Determines the gray-level linear dependency between center voxel and its neighbors.

Gray-level non-uniformity (GLN)

Describes the dissimilarity of gray-level values within the object.

High gray-level run emphasis (HGLRE)

Measures the concentration of high gray-level values in the structure.

Long run emphasis (LRE)

Determines how long run lengths are distributed in the object indicating the coarseness of the texture.

Long run high gray-level emphasis (LRHGLE)

Measures how long runs of high gray-level values are distributed in the object.

Long run low gray-level emphasis (LRLGLE)

Measures how long runs of low gray-level values are distributed in the object.

Low gray-level run emphasis (LGLRE)

Measures the concentration of low gray-level values in the structure.

Run entropy (RE)

Indicates the amount of randomness in gray-level runs in the structure.

Run length non-uniformity (RLN)

Expresses the inhomogeneity among run lengths in the object.

Run percentage (RP)

Is calculated by the division of the overall count of runs by the total number of pixels.

Short run emphasis (SRE)

Measures the concentration of short run lengths in the object indicating how fine the texture is.

Short run high gray-level emphasis (SRHGLE)

Measures the concentration of high gray-level values short runs in the object.

Short run low gray-level emphasis (SRLGLE)

Measures the concentration of low gray-level values short runs in the object.