本文从分形信息论观点出发，考察多重测度分形，导出基于分形熵比的多重分形维谱函数。
From the view of fractal information theory, the multifractal has been introduced, and the multifractal dimension spectrum function based on the fractal entropy has been investigated.
本文提出了一种基于亚像素边缘测度的多重分形算法，应用于图像奇异性分析中可以实现从纹理到边缘各层面的精确划分。
In this paper, a new multifractal algorithm is proposed based on sub-pixel edge measure. The method can precisely divide the image from texture to edge for image singularity analysis.
探讨了分形测度小波变换极大值线的拓扑分岔情况，并提出了一种基于小波变换模极大值的多重分形谱估算方法。
Topologic bifurcation situation of maxima lines is also discussed. In the end, an estimation for multifractal spectrum is proposed in terms of wavelet module maxima lines.
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