Photometric method for lunar topography.
Photometric method for lunar topography.
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月球地形光度测量方法。
DOI：
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发表时间：
1966
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通讯作者：
T. Rindfleisch
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文献类型：
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作者：
T. Rindfleisch
一般和严格的治疗给出了从表面的一张照片获得表面高程信息的光度法。在推导过程中给出了一个简短的指示可能的光度函数对称性产生的问题的精确解。它表明，月海的光度特性足以产生一个精确的解决方案，但与固有的实际困难。由此产生的方程，然后专门的月球摄影的情况下，并适用于游侠图片作为数字处理程序的一部分。给出了由此产生的高程图的例子。引言定量高程信息的表面可以来自图片都由立体和光度的方法。第二种方法是货车Diggelen（参考文献1）在1951年首次提出的，这是本文感兴趣的。扩展他的原始配方的问题，它是希望定量重建的形状被拍摄的表面使用的成像几何，facsi英里系统传输特性，和表面的光度特性。本文给出了一个严格的求解方法，并将结果应用于三个Ranger撞击航天器拍摄的月球照片。透镜中心坐标系的远维斯高程计算扩展表面的相关测光可概括如下。为了简单起见，将假设表面至少在所考虑的局部区域上具有均匀的光度特性。光度几何可以用三个角度来定义：入射角i（入射光方向与表面法线之间的角度），发射角e（发射光方向与表面法线之间的角度）和相位角g（入射光方向与发射光方向之间的角度）。这种几何形状如图1所示。对于表面的均匀准直照明，例如使用太阳光，亮度B可以写作B（i，e，g）= poEo <$（i，e，g）（1）其中Po是表面的法向照度，Eo是均匀照明强度，并且<$（i，e，g）是表面光度函数。标准化是这样的：<$（O，0，0）= 1。* 本文介绍了在J.P.L.进行的一个阶段的研究结果，加州理工学院，合同号NAS 7-100，由NASA赞助。这篇论文已由J.P.L.技术信息科批准在美国出版。这篇论文的一种形式是以受版权保护的形式出现的。实验室技术报告编号32-786，1965年9月15日。
A general and rigorous treatment is given of the photometric method for deriving surface elevation information from a single picture of the surface. In the course of the derivation a brief indication is given of possible photometric function symmetries yielding exact solutions to the problem. It is shown that the photometric properties of the lunar maria are sufficient to produce an exact solution but with an inherent practical difficulty. The resulting equations are then specialized to the case of lunar photography and applied to the Ranger pictures as part of a digital processing procedure. Examples of the resulting elevation maps are given. INTRODUCTION QUANTITATIVE ELEVATION INFORMATION about a surface can be derived from pictures both by stereoscopic and by photometric methods. The second method, which is of interest here, was first suggested by van Diggelen (Ref. 1) in 1951. Extending his original formulation of the problem, it is desired to reconstruct quantitatively the shape of a surface being photographed using the imaging geometry, the facsi mile system transfer characteristics, and the surface photometric properties. A rigorous solution to this problem is presented and the results are applied to the lunar pictures taken by the three Ranger impacting spacecraft. CALCULATION OF ELEVATIONS IN TEl{]vIS OF A LENS-CENTERED COORDINATE SYSTEM The pertinent photometry of extended surfaces can be summarized as follows. For simplicity, it will be assumed that the surface possesses homogenous photometric properties at least over the local area under consideration. The photometric geometry can be com pletely defined in terms of three angles; the incidence angle i (angle between the direction of incident light and the surface normal), the emission angle e (angle between the direction of emitted light and the surface normal), and the phase angle g (angle between the directions of incident and emitted light). This geometry is shown in Figure 1. For uniform collimated illumination of the surface, such as with sunlight, the luminence b can be written b(i, e, g) = poEo¢(i, e, g) (1) where Po is the normal albedo of the surface, Eo is the uniform illumination intensity, and ¢ (i, e, g) is the surface photometric function. The normalization of ¢ is such that ¢(O, 0, 0) = 1. * This paper presents the results of one phase of research conducted at J.P.L., California Institute of Technology, under Contract No. NAS 7-100, sponsored by NASA. The paper has been cleared for United States publication by the Technical Information Section, J. P.L. A form of the paper has appeared as a copyrighted ].P.L. Laboratory Technical Report No. 32-786, September 15, 1965.