Is the optical image of a non-Lambertian fractal surface fractal?

Korvin G.

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Is the optical image of a non-Lambertian fractal surface fractal?

机译：非朗伯分形表面分形的光学图像吗？

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This letter generalizes Pentland's result about the fractal dimension of the optical image of rough natural surfaces, without imposing his requirement that the reflection is Lambertian. Instead, it is assumed that the reflectance coefficient is proportional to the focusing/defocusing due to local surface curvature. It will be proved for this case that the density distribution across the optical image inherits the fractal dimension of the mapped surface.

机译：这封信概括了彭特兰关于粗糙自然表面光学图像的分形维数的结果，而没有强加他的反射是朗伯式的要求。取而代之的是，假设由于局部表面曲率，反射系数与聚焦/散焦成比例。对于这种情况将证明，光学图像上的密度分布继承了映射表面的分形维数。

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《IEEE Geoscience and Remote Sensing Letters》 |2005年第4期|p.380-383|共4页
作者
Korvin G.;
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正文语种 eng
中图分类测绘遥感技术;
关键词
fractals; optical images; terrain mapping; Lambertian reflection; density distribution; fractal dimension; fractal image; fractal surface; local surface curvature; optical image; reflectance coefficient; rough natural surfaces; Fractal image; Lambertian reflection; fr;

机译：分形;光学图像;地形映射;朗伯反射;密度分布;分形维数;分形图像;分形表面;局部表面曲率;光学图像;反射系数;粗糙的自然表面;分形图像;朗伯反射;fr;

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1. Optical evaluation of fractality of rough surfaces using fractal illumination [J] . Wada Naoya, Asakura Toshimitsu, Uozumi Jun Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 1999,第1期

机译：使用分形照明光学评估粗糙表面的分形性
2. Optical evaluation of fractality of rough surfaces using fractal illumination [J] . Naoya Wada, Jun Uozumi, Toshimitsu Asakura Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 1999,第1a6期

机译：使用分形照明光学评估粗糙表面的分形性
3. Effect of Bilateral Filtration on Fractal Estimation of Optical Images of Loaded Material Surfaces [J] . S. V. Panin, Yu. A. Altukhov, P. S. Lyubutin, Optoelectronics, Instrumentation and Data Processing . 2013,第3期

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4. Mathematical and Physics Modelling of Fractal Antennas and Fractal Frequency Selective Surfaces and Volumes for the Fractal Radio Systems [C] . European Conference on Antennas and Propagation . 2007

机译：分形天线和分形无线电系统分形频率选择性表面和体积的数学和物理建模
5. Wavelets and fractals: A quantitative assessment of their performance in image reconstruction, restoration and segmentation. [D] . Akujuobi, Cajetan M. 1995

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6. Cell Surface as a Fractal: Normal and Cancerous Cervical Cells Demonstrate Different Fractal Behavior of Surface Adhesion Maps at the Nanoscale [O] . M. E. Dokukin, N. V. Guz, R. M. Gaikwad, -1

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7. Is the optical image of a non-Lambertian fractal surface fractal? [O] . Korvin G. 2005

机译：非朗伯分形表面的光学图像是否是分形的？
8. Determination of Fractal Dimensions of Images: Analysis of Laser ConfocalScanning Microscope Images Containing Phantom Surface Artifacts [R] . Meisel, L. V., Kendall, G. 1996

机译：图像分形维数的确定：包含幻像表面伪影的激光共聚焦扫描显微镜图像分析

Is the optical image of a non-Lambertian fractal surface fractal?

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