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

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 ransformed into the corresponding static Hamilton-Jacobi equation. The Lax-Friedrichs sweeping method was used to approximate, the viscosity solution and heights of three-dimensional sur-face were gained. Finally, three-dimensional shape reconstruction experiments on synthetic image and real image of the lunar sur-face were done to demonstrate the efficiency of the proposed approach.