Matrix analysis
Newton's method for the matrix square root
Mathematics of Computation
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
A Theory of Multiplexed Illumination
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Performance relighting and reflectance transformation with time-multiplexed illumination
ACM SIGGRAPH 2005 Papers
Noise Estimation from a Single Image
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Multiplexing for Optimal Lighting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Photometric stereo for dynamic surface orientations
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiplexed illumination for scene recovery in the presence of global illumination
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
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Multiplexed illumination has been proved to be valuable and beneficial, in terms of noise reduction, in wide applications of computer vision and graphics, provided that the limitations of photon noise and saturation are properly tackled. Existing optimal multiplexing codes, in the sense of maximum signal-to-noise ratio (SNR), are primarily designed for time multiplexing, but they only apply to a multiplexing system requiring the number of measurements (M) equal to the number of illumination sources (N). In this paper, we formulate a general code design problem, where M≥N, for time and color multiplexing, and develop a sequential semi-definite programming to deal with the formulated optimization problem. The proposed formulation and method can be readily specialized to time multiplexing, thereby making such optimized codes have a much broader application. Computer simulations will discover the main merit of the method-- a significant boost of SNR as M increases. Experiments will also be presented to demonstrate the effectiveness and superiority of the method in object illumination.