研究月球火星影像中陨石坑椭圆轮廓的投影规律,便于识别与分析。
Crater Projection in Linear Pushbroom Camera Images
- 基于椭圆参数推导出陨石坑在线性推扫相机图像中的显式投影公式。
- 发现陨石坑在特定轨道条件下会呈现二次曲线投影,可反推成像几何。
- 提供实例说明如何利用投影模型辅助天体表面地质特征分析。
月球、火星等天体的科学成像常使用推扫相机(pushbroom camera)。此类传感器生成的图像中,具有椭圆边缘的陨石坑是常见目标。本文提出一种分析陨石坑边缘在推扫图像中表现形式的框架。仅需已知陨石坑边缘的常规椭圆参数,即可推导出其在图像中显式的投影表达式,便于绘制实际外观。同时发展了隐式表达形式,揭示了在何种轨道条件下陨石坑会形成二次曲线投影。文中提供了多个数值示例,展示不同投影形态的解释方法及其在实际中的应用价值。
原文摘要 · Abstract (English)
Scientific imaging of the Moon, Mars, and other celestial bodies is often accomplished with pushbroom cameras. Craters with elliptical rims are common objects of interest within the images produced by such sensors. This work provides a framework to analyze the appearance of crater rims in pushbroom images. With knowledge of only common ellipse parameters describing the crater rim, explicit formulations are developed and shown to be convenient for drawing the apparent crater in pushbroom images. Implicit forms are also developed and indicate the orbital conditions under which craters form conics in images. Several numerical examples are provided which demonstrate how different forms of crater rim projections can be interpreted and used in practice.
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