一种新的基于从明暗恢复形状的月球表面三维形状恢复算法  

A New Three-dimensional Reconstruction Algorithm of the Lunar Surface Based on Shape from Shading Method

作　　者：王国珲[1] 韩九强[1] 张新曼[1] 杨磊[2] 

机构地区：[1]西安交通大学电子与信息工程学院,西安710049 [2]同济大学经济与管理学院,上海200092

出　　处：《宇航学报》2009年第6期2265-2269,共5页Journal of Astronautics

基　　金：国家自然科学基金资助(60602025);教育部高等学校博士点专项科研基金资助(20050698025)

摘　　要：提出了一种新的基于从明暗恢复形状的月球表面三维形状恢复算法。首先,分析了在太阳光照条件下月球表面的成像模型,建立了基于Lunar-Lambert反射模型的图像辐照度方程。然后由图像辐照度方程建立相应的静态Hamilton-Jacobi方程,使用Lax-Friedrichs sweeping方法逼近其粘性解,得到表面三维高度。最后通过对合成图像和实际月球图像进行三维形状恢复,实验结果表明提出的新算法可以有效地应用于月球表面的三维形状恢复。A new three-dimensional shape reconstruction algorithm of the lunar surface based on shape from shading method was proposed. Imaging model of the lunar surface under the sun illumination was discussed firstly. An image irradiance equation based on Lunar-Lambert reflectance model was obtained, which was transformed into the corresponding static Hamilton-Jacobi equation. The Lax-Friedrichs sweeping method was used to approximate the viscosity solution and heights of throe-dimensional surface were gained. Finally, three-dimensional shape reconstruction experiments on synthetic image and real image of the lunar surface were done to demonstrate the efficiency of the proposed approach.

关 键 词：从明暗恢复形状 月球表面 三维形状恢复 Lunar-Lambert反射模型 Lax-Friedrichs sweeping方法 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]