论文标题

在自然图像中的规模不变属性及其模拟中

On scale-invariant properties in natural images and their simulations

论文作者

Koroteev, Maxim, Aistov, Kirill

论文摘要

我们研究了一组统计特征的自然图像样品,并在计算中证明了样品的规模不变特性。进行功率谱的计算,并在自然场景的范·赫特伦(Van Hateren)图像中观察到幂律衰减功率谱。我们提出了一个动态模型,以定性地重现功率谱中观察到的斜率。对于此模型的两种源,研究了功率谱的行为,并通过数值确认了规模不变。然后,我们讨论自然图像的规模不变特性的潜在应用。

We study samples of natural images for which a set of statistical characteristics is computed and scale-invariant properties of samples are demonstrated computationally. Computations of the power spectrum are carried out and a power-law decaying power spectrum is observed on samples taken from van Hateren images of natural scenes. We propose a dynamic model to reproduce the observed slope in the power spectrum qualitatively. For two types of sources for this model the behaviour of power spectrum is investigated and scale-invariance confirmed numerically. We then discuss potential applications of scale-invariant properties of natural images.

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