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Multifractal analysis of three-dimensional histogram from color images

机译:彩色图像三维直方图的多重分形分析

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摘要

Natural images, especially color or multicomponent images, are complex information-carrying signals. To contribute to the characterization of this complexity, we investigate the possibility of multiscale organization in the colorimetric structure of natural images. This is realized by means of a multifractal analysis applied to the three-dimensional histogram from natural color images. The observed behaviors are confronted to those of reference models with known multifractal properties. We use for this purpose synthetic random images with trivial monofractal behavior, and multidimensional multiplicative cascades known for their actual multifractal behavior. The behaviors observed on natural images exhibit similarities with those of the multifractal multiplicative cascades and display the signature of elaborate multiscale organizations stemming from the histograms of natural color images. This type of characterization of colorimetric properties can be helpful to various tasks of digital image processing, as for instance modeling, classification, indexing.
机译:自然图像,尤其是彩色图像或多分量图像,是复杂的信息承载信号。为了有助于表征这种复杂性,我们研究了自然图像的比色结构中多尺度组织的可能性。这是通过对自然彩色图像应用于三维直方图的多重分形分析来实现的。观察到的行为与具有已知多重分形特性的参考模型的行为相对。为此,我们使用具有琐碎的单分形行为的合成随机图像,以及以其实际的多分形行为而闻名的多维乘法级联。在自然图像上观察到的行为与多重分形乘法级联的行为相似,并显示出源自自然彩色图像直方图的精心设计的多尺度组织的特征。比色性质的这种类型的表征可有助于数字图像处理的各种任务,例如建模,分类,索引。

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