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1 Type Package Package RTextureMetrics February 19, 2015 Title Functions for calculation of texture metrics for Grey Level Co-occurrence Matrices Version 1.1 Date Author Hans-Joachim Klemmt Maintainer Hans-Joachim Klemmt This package contains several functions for calculation of texture metrics for Grey Level Cooccurrence matrices License GPL (>= 2) NeedsCompilation no Repository CRAN Date/Publication :49:32 R topics documented: RTextureMetrics-package calcasm calccon calcdis calcent calchom findmaxpropability genglcm plotglcm Index 13 1

2 2 RTextureMetrics-package RTextureMetrics-package Calculation of texture metrics for Grey Level Co-occurrence matrices This package contains several functions for calculation of important texture metrics for Grey Level Co-occurrence matrices Package: Type: Version: 1.1 Date: RTextureMetrics Package License: GPL (>=2) LazyLoad: yes Read in Image (e.g. using readjpeg in biops-package or readjpeg in rimage-package) and transform Image to a Grey-Image (e.g. using rgb2grey-function of biops or RGB2GREY in rimage). Use afterwards genglcm of this package to generate a GLC-Matrix and calculate afterwards (more than) one of the measures. Hans-Joachim Klemmt, Bayerische Landesanstalt fuer Wald und Forstwirtschaft, (Bavarian Institute of Forestry), Freising Maintainer: Hans-Joachim Klemmt <hans-joachim.klemmt@lwf.bayern.de> Toennies, D., 2005: Grundlagen der Bildverarbeitung, 341 S., Pearson Studium Harralick, R.M., calccon calchom calcdis

3 calcasm 3 calcasm calcent findmaxpropability plotglcm calcasm ASM (Angular Second Moment) calculates Angular Second Moment (ASM) measure calcasm() assigns the Grey Level Co-occurrence Matrix for ASM calculation Angular Second Moment (ASM) measure belongs to the orderlines group of texture measures. It is sometimes also called Energy or Uniformity. High values occur when the window ist very orderly returns ASM value Toennies, D., 2005: Grundlagen der Bildverarbeitung, 341 S., Pearson Studium Harralick, R.M., See Also The GLCM-Tutorial by Mryka Hall-Beyer,

4 4 calccon (calcasm) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets. function () return(sum(^2)) calccon CON Contrast calculates CONTRAST measure for Grey-Level Co-occurrence Matrices calccon() assigns Grey Level Co-occurrence Matrix for calculation of CONTRAST measure CONTRAST measure belongs to the Contrast group of texture metrics. CONTRAST measure is also called sum of square variances returns CONTRAST measure Toennies, D., 2005: Grundlagen der Bildverarbeitung, 341 S., Pearson Studium Harralick, R.M.,

5 calcdis 5 See Also The GLCM Tutorial by Mryka Hall-Beyer, (calccon) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets. function () size <- dim()[1] matconweights <- matrix(0, nrow = size, ncol = size) for (i in 1:size) for (a in 1:size) matconweights[i, a] <- (a - i)^2 con <- * matconweights return(sum(con)) calcdis DIS Dissimilarity calculates DISSIMILARITY measure for Grey Level Co-occurrence Matrices calcdis() assigns the GLC-Matrix for DISSIMILARITY calculation DISSIMILARITY measure belongs to the Contrast group of texture metrics. In the DISSIMILAR- ITY measure weights increase linearly.

6 6 calcent returns the DISSIMILARITY measure Toennies, D., 2005: Grundlagen der Bildverarbeitung, 341 S., Pearson Studium Harralick, R.M., (calcdis) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets. function () size <- dim()[1] matconweights <- matrix(0, nrow = size, ncol = size) for (i in 1:size) for (a in 1:size) matconweights[i, a] <- abs(a - i) dis <- * matconweights return(sum(dis)) calcent ENT Entropy calculates ENTROPY measure for Grey Level Co-occurrence Matrices calcent()

7 calcent 7 assigns the GLC-Matrix Entropy is a texture measure related to the orderline group. Entropy characterizes energy values for pixel combinations. returns Entropy value Toennies, D., 2005: Grundlagen der Bildverarbeitung. 341 S., Pearson Studium Harralick, R.M., See Also The GLCM Tutorial by Myrka Hall-Beyer, (calcent) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets. function () ln <- log() size <- dim(ln)[1] for (i in 1:size) for (a in 1:size) if (ln[a, i] == "-Inf") ln[a, i] <- 0 return(sum( * ln))

8 8 calchom calchom HOM Homogeinity calculates HOMOGENEITY measure for Grey Level co-occurrence matrices calchom() assigns the GLC-Matrix to use Homogeneity weigths values by the inverse of the Contrast weight with weights decreasing exponentially away from diagonal Homogeneity measure is sometimes also called Inverse Difference Moment. returns Homogeneity value Toennies, D., 2005: Grundlagen der Bildverabeitung, 341 S., Pearson Studium Harralick, R.M., See Also GLCM Tutorial by Mryka-Hall-Beyer, (calchom) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets.

9 findmaxpropability 9 function () size <- dim()[1] mathomweights <- matrix(0, nrow = size, ncol = size) for (i in 1:size) for (a in 1:size) mathomweights[i, a] <- 1/(1 + (a - i)^2) hom <- * mathomweights return(sum(hom)) findmaxpropability findmaxpropability finds and assings the largest Pij value found in a picture findmaxpropability() assigns the Grey Level Co-occurrence Matrix for Maximum Propability characterization Maximum Probabilty is a simple statistic which records in the central pixel of a picture or window the largest found Pij value. High values occur if one combination of pixels dominate the pixel pairs. returns Maximum Propability value Toennies, D., 2005: Grundlagen der Bildverarbeitung, 341 S., Pearson Studium Harralick, R.M.,

10 10 genglcm See Also The GLCM Tutorial by Mryka Hall-Beyer, (findmaxpropability) ##-- ==> Define data, use random, ##--or do help(data=index) for the standard data sets. function () return(max()) genglcm genglcm (generate GLC-Matrix) genglcm generates a Grey Level Co-occurrence Matrix genglcm(direction, distance, ) direction distance assigns the direction of the neighbour (1=east, right), (2=south, down), (3=west, left), (4=north, up) assigns the number of pixels between reference and neighbour assigns the grey level [0..255] pixel matrix of a picture GLCM is a tabulation of how often different combinations of pixel brightness values (grey levels) occur in an image. returns a normalized propability matrix of the occurrence of different grey values

11 genglcm 11 Toennies, D., 2005: Grundlagen der Bildverarbeitung. Pearson Studium, 341 S. Harralick, R.M., mat<-matrix(data,nrow=4, byrow=true) function (direction, distance, ) number_coloums <- max() + 1 number_rows <- max() + 1 GLCM <- matrix(0, ncol = 255, nrow = 255) if (direction == 1) for (i in 1:number_coloums - 1) for (a in 1:number_rows) GLCM[[a, i] + 1, [a, i + 1] + 1] <- GLCM[[a, i] + 1, [a, i + 1] + 1] + 1 if (direction == 2) for (i in 1:number_coloums) for (a in 1:number_rows - 1) GLCM[[a, i] + 1, [a + 1, i] + 1] <- GLCM[[a, i] + 1, [a + 1, i] + 1] + 1 transglcm <- t print("invertiert") GLCM <- GLCM + transglcm GLCMprob <- round(glcm/sum, digits = 4) return(glcmprob)

12 12 plotglcm plotglcm plot (plot GLC-Matrix) plotglcm plots a Grey Level Co-occurrence Matrix plotglcm GLCM data frame with GLCM data GLCM is a tabulation of how often different combinations of pixel brightness values (grey levels) occur in an image. no return value Toennies, D., 2005: Grundlagen der Bildverarbeitung. Pearson Studium, 341 S. Harralick, R.M., mat<-matrix(data,nrow=4, byrow=true) plotglcm

13 Index Topic IO calcasm, 3 calccon, 4 calcdis, 5 calcent, 6 calchom, 8 findmaxpropability, 9 genglcm, 10 plotglcm, 12 Topic package RTextureMetrics-package, 2 calcasm, 3 calccon, 4 calcdis, 5 calcent, 6 calchom, 8 findmaxpropability, 9 genglcm, 10 plotglcm, 12 RTextureMetrics (RTextureMetrics-package), 2 RTextureMetrics-package, 2 13

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