The idea of the proposed image thresholding scheme is simply to consider the histogram as a 2D plot rather than a 1D function. The data can now be represented as a two-row matrix. The first row is simply the grey levels of the image and the second row is the corresponding histogram values. Multiplying this matrix by its transpose will result in a power-type matrix of size 2 × 2. The best threshold is the one producing a power matrix closer to that of the original image. Many combinations of the eigenvalues are suggested. To increase the correlation with the first row of the matrix, the histogram is replaced by the cumulative histogram. It is noticed that the trace of the matrix produces the best results. Comparative results show the effectiveness of the proposed schemes.

中文翻译：

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涉及直方图的特征结构用于图像阈值化

提出的图像阈值处理方案的思想只是将直方图视为2D图，而不是1D函数。现在可以将数据表示为两行矩阵。第一行只是图像的灰度级，第二行是相应的直方图值。将该矩阵与其转置相乘将得到大小为2×2的幂类型矩阵。最佳阈值是产生与原始图像更接近的幂矩阵的阈值。建议特征值的许多组合。为了增加与矩阵第一行的相关性，将直方图替换为累积直方图。注意到矩阵的迹线产生最佳结果。比较结果表明了所提方案的有效性。