Evaluation method for the hyperspectral image camouflage effect based on multifeature description and grayscale clustering

He, Zhenxin; Gan, Yuanying; Ma, Shixin; Liu, Chuntong; Liu, Zhongye

doi:10.1186/s13634-023-00971-x

EURASIP Journal on Advances in Signal Processing

Table 3 Corresponding whitening weight functions

From: Evaluation method for the hyperspectral image camouflage effect based on multifeature description and grayscale clustering

Class	Gray whitening weight function	Class	Gray whitening weight function
0	\(f_{j}^{0} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0.75}}{0.9 - 0.75},\;\;\;\;\;\;\;\;u_{ij} \in \left( {0.75,0.9} \right]\;\;\;\;} \\ {\frac{{1.05 - u_{ij} }}{1.05 - 0.9},\;\;\;\;\;\;\;u_{ij} \in \left( {0.9,1.05} \right]\;\;\;\;} \\ {0,\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0.75,1.05} \right)} \\ \end{array} } \right.\)	1	\(f_{j}^{1} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0.6}}{0.75 - 0.6},\;\;\;\;\;u_{ij} \in \left( {0.6,0.75} \right]} \\ {\frac{{0.9 - u_{ij} }}{0.9 - 0.75},\;\;\;\;\;\;u_{ij} \in \left( {0.75,0.9} \right]} \\ {0,\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0.6,0.9} \right)\;\;\;} \\ \end{array} } \right.\)
2	\(f_{j}^{2} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0.45}}{0.6 - 0.45},\;\;\;u_{ij} \in \left( {0.45,0.6} \right]\;\;\;\;\;\;} \\ {\frac{{0.75 - u_{ij} }}{0.75 - 0.6},\;\;\;\;u_{ij} \in \left( {0.6,0.75} \right]\;\;\;\;\;\;} \\ {0,\;\;\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0.45,0.75} \right)} \\ \end{array} } \right.\)	3	\(f_{j}^{3} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0.3}}{0.45 - 0.3},\;\;\;u_{ij} \in \left( {0.3,0.45} \right]\;\;\;\;\;\;} \\ {\frac{{0.6 - u_{ij} }}{0.6 - 0.45},\;\;\;\;u_{ij} \in \left( {0.45,0.6} \right]\;\;\;\;\;\;} \\ {0,\;\;\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0.3,0.6} \right)\;\;} \\ \end{array} } \right.\)
4	\(f_{j}^{4} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0.15}}{0.3 - 0.15},\;\;\;u_{ij} \in \left( {0.15,0.3} \right]\;\;\;\;\;\;} \\ {\frac{{0.45 - u_{ij} }}{0.45 - 0.3},\;\;\;\;u_{ij} \in \left( {0.3,0.45} \right]\;\;\;\;\;\;} \\ {0,\;\;\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0.15,0.45} \right)} \\ \end{array} } \right.\)	5	\(f_{j}^{5} \left( {u_{ij} } \right) = \left\{ {\begin{array}{*{20}c} {\frac{{u_{ij} - 0}}{0.15 - 0},\;\;\;\;\;u_{ij} \in \left( {0,0.15} \right]\;\;\;\;\;\;\;\;\;} \\ {\frac{{0.3 - u_{ij} }}{0.3 - 0.15},\;\;\;\;u_{ij} \in \left( {0.15,0.3} \right]\;\;\;\;\;\;\;} \\ {\;0,\;\;\;\;\;\;\;\;\;\;\;\;u_{ij} \notin \left( {0,0.3} \right)\;\;\;\;\;\;\;} \\ \end{array} } \right.\)

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