将Naka-Rushton方程嵌入Möbius变换的几何设置中

2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA) Pub Date : 2021-09-13 DOI:10.1109/ISPA52656.2021.9552109

Nicoletta Prencipe, E. Provenzi

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引用次数: 0

摘要

Naka-Rushton方程模拟了从光子携带的电磁能量到视网膜光感受器膜电位差的转导，该方程已经在色调映射算法中使用了二十年，以压缩高动态范围(HDR)图像的范围。到目前为止，只考虑和利用了线性分数变换的解析性质。本文在Möbius变换的抽象设置下对Naka-Rushton方程进行了重新构造，指出了Naka-Rushton公式隐藏的几何性质，并讨论了它们与期望音调映射算法遵循的相关性。

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Embedding Naka-Rushton's equation in the geometric setting of Möbius transformations

The Naka-Rushton equation that models the transduction from electromagnetic energy carried by a photon to difference of potential of the membrane of a retinal photoreceptor has been used for two decades in tone mapping algorithms to compress the range of high dynamic range (HDR) images. Up to now, only its analytical properties of linear fractional transformation have been considered and exploited. In this paper, we recast the Naka-Rushton equation in the abstract setting of Möbius transformations, pointing out the hidden geometric properties of Naka-Rushton formula and discussing their pertinence to what a tone mapping algorithm is expected to comply.

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2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA)

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