›› 2013,Vol. 28 ›› Issue (3): 454-467.doi: 10.1007/s11390-013-1347-z

所属专题： Artificial Intelligence and Pattern Recognition

• Special Section on Selected Paper from NPC 2011 • 上一篇    下一篇

基于冗余球面调和框架的凸Lambert物体的光照估计

Wen-Yong Zhao1 (赵文勇), Shao-Lin Chen1 (陈绍林), Yuan Zheng1 (郑媛), and Si-Long Peng1,2 (彭思龙)   

  1. 1. National ASIC Design and Engineering Center, Institute of Automation, Chinese Academy of Sciences Beijing 100190, China;
    2. College of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
  • 收稿日期:2012-05-07 修回日期:2012-11-27 出版日期:2013-05-05 发布日期:2013-05-05
  • 作者简介:Wen-Yong Zhao got his Ph.D. degree in pattern recognition and intelligent system from the Institute of Automation, Chinese Academy of Sciences, Beijing. He received his B.Eng. and M.Eng. degrees from Tianjin University, China, in 2004 and 2007 respectively. His research interests include image processing, computer vision and computer graphics.
  • 基金资助:

    The work was supported by the National Natural Science Foundation of China under Grant No. 60972126, the Joint Funds of the National Natural Science Foundation of China under Grant No. U0935002/L05, the Beijing Municipal Natural Science Foundation of China under Grant No. 4102060, and the Key Program of National Natural Science Foundation of China under Grant No. 61032007.

Lighting Estimation of a Convex Lambertian Object Using Redundant Spherical Harmonic Frames

Wen-Yong Zhao1 (赵文勇), Shao-Lin Chen1 (陈绍林), Yuan Zheng1 (郑媛), and Si-Long Peng1,2 (彭思龙)   

  1. 1. National ASIC Design and Engineering Center, Institute of Automation, Chinese Academy of Sciences Beijing 100190, China;
    2. College of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
  • Received:2012-05-07 Revised:2012-11-27 Online:2013-05-05 Published:2013-05-05
  • Contact: 10.1007/s11390-013-1347-z
  • Supported by:

    The work was supported by the National Natural Science Foundation of China under Grant No. 60972126, the Joint Funds of the National Natural Science Foundation of China under Grant No. U0935002/L05, the Beijing Municipal Natural Science Foundation of China under Grant No. 4102060, and the Key Program of National Natural Science Foundation of China under Grant No. 61032007.

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从单幅图像中的漫反射物体提取光照信息，容易受到两种因素的影响，一是数据的非完备性，二是数据的噪声干扰。基于球面调和基的光照模型进行光照一致性度量无法获得精确鲁棒的估计。我们提出了一种新的信号处理框架来描述光场。我们构造了一种冗余的在球面S2 具有几何对称特性的球面调和框架。球面调和框架定义在关于SO(3) 有限对称子群的对称轴生成的旋转矩阵表示上，其生成函数为球面调和基函数。与正交的球面调和基函数光照模型相比，基于冗余的球面调和框架光照模型不仅能直观上描述复杂的多方向的光照分布，而且在理论上能抑制噪声。随后，我们利用球面调和框架，理论分析了反射光照和入射光照之间的的关系，重建了被Lambert双向反射分布函数(BRDF) 滤波的光照函数。实验显示球面调和框架的系数能更好地鲁棒表征复杂光照环境。

Abstract: An explicit lighting estimation from a single image of Lambertian objects is influenced by two factors: data incompletion and noise contamination. Measurement of lighting consistency purely using the orthogonal spherical harmonic basis cannot achieve an accurate estimation. We present a novel signal-processing framework to represent the lighting field. We construct a redundant spherical harmonic frame with geometric symmetry on the sphere S2. Spherical harmonic frames are defined over the generating rotation matrices about symmetry axes of finite symmetry subgroups of SO(3), and the generating functions are spherical harmonic basis functions. Compared with the orthogonal spherical harmonic basis, the redundant spherical harmonic frames not only describe the multidirectional lighting distribution intuitively, but also resist the noise theoretically. Subsequently, we analyze the relationship of the irradiance to the incoming radiance in terms of spherical harmonic frames, and reconstruct the lighting function filtered by the Lambertian BRDF (bidirectional reflectance distribution function). The experiments show that the frame coefficients of spherical harmonic frames can better characterize the complex lighting environments finely and robustly.

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