Title
Lighting Estimation of a Convex Lambertian Object Using Redundant Spherical Harmonic Frames
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.
Year
DOI
Venue
2013
10.1007/s11390-013-1347-z
J. Comput. Sci. Technol.
Keywords
DocType
Volume
spherical harmonic frame,lighting estimation,lambertian object
Journal
28
Issue
ISSN
Citations 
3
1860-4749
1
PageRank 
References 
Authors
0.36
12
4
Name
Order
Citations
PageRank
Wen-Yong Zhao130.74
Shao-Lin Chen230.73
Yuan Zheng3111.56
S. Peng433240.36