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| {{Use dmy dates|date=August 2012}}
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| The '''gray level size zone matrix''' (GLSZM) is the starting point of Thibault matrices. It is an advanced statistical matrix used for texture characterization.
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| For a texture image '''f''' with '''N''' gray levels, it is denoted <math>GS_f</math> and provides a statistical representation by the estimation of a bivariate conditional probability density function of the image distribution values. It is calculated according to the pioneering run length matrix principle (RLM): the value of the matrix <math>GS_f(s_n, g_m)</math> is equal to the number of zones of size <math>s_n</math> and of gray level <math>g_m</math>. The resulting matrix has a fixed number of lines equal to '''N''', the number of gray levels, and a dynamic number of columns, determined by the size of the largest zone as well as the size quantization.
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| The more homogeneous the texture, the wider and flatter the matrix. GLSZM does not required computation in several directions, contrary to RLM and [[co-occurrence matrix]] (COM). However, it has been empirically proved that the degree of gray level quantization still has an important impact on the texture classification performance. For a general application it is usually required to test several gray-level quantization to find the optimal one with respect to a training dataset.
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| ==Examples==
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| Two examples of matrix filling for textures 4 × 4 with four gray levels.
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| <gallery>
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| [[File:GlszmExamples.png|thumb]] | |
| [[File:GlszmExamples.pdf|thumb|alt=GLSZM examples|GLSZM examples]]
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| </gallery>
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| ==References== | |
| * {{ cite journal
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| | author = Guillaume Thibault, Bernard Fertil, Claire Navarro, Sandrine Pereira, Pierre Cau, Nicolas Levy, Jean Sequeira, Jean-Luc Mari
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| | year = 2009
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| | title = Texture Indexes and Gray Level Size Zone Matrix. Application to Cell Nuclei Classification
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| | journal = Pattern Recognition and Information Processing (PRIP)
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| | pages = 140–145
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| }} [http://www.thibault.biz/Doc/Publications/TextureIndexesAndGrayLevelSizeZoneMatrixApplicationToCellNucleiClassification_PRIP2009.pdf]
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| * {{ cite journal
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| | author = Guillaume Thibault, Jesus Angulo, Fernand Meyer
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| | year = 2011
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| | title = Advanced Statistical Matrices for Texture Characterization: Application to DNA Chromatin and Microtubule Network Classification
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| | journal = IEEE International Conference on Image Processing (ICIP)
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| | pages = 53–56
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| }} [http://www.thibault.biz/Doc/Publications/AdvancedStatisticalMatrices_ICIP_2011.pdf]
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| ==External links== | |
| * [http://www.thibault.biz/Research/ThibaultMatrices/ThibaultMatrices.html Thibault matrices]
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| * [http://www.thibault.biz/Research/ThibaultMatrices/GLSZM/GLSZM.html Gray Level Size Zone Matrix]
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| * [http://www.thibault.biz/Research/ThibaultMatrices/MGLSZM/MGLSZM.html Multiple Gray Level Size Zone Matrix]
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| [[Category:Image processing]]
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