Reconstruction of compressively sampled ray space by using DCT basis and statistically weighted L1 norm optimization

Qiang Yao; Keita Takahashi; Toshiaki Fujii

doi:10.1117/12.2042132

7 March 2014 Reconstruction of compressively sampled ray space by using DCT basis and statistically weighted L1 norm optimization

Qiang Yao, Keita Takahashi, Toshiaki Fujii

Author Affiliations +

Proceedings Volume 9020, Computational Imaging XII; 90200X (2014) https://doi.org/10.1117/12.2042132
Event: IS&T/SPIE Electronic Imaging, 2014, San Francisco, California, United States

Abstract

In recent years, ray space (or light field in other literatures) photography has gained a great popularity in the area of computer vision and image processing, and an efficient acquisition of a ray space is of great significance in the practical application. In order to handle the huge data problem in the acquisition process, in this paper, we propose a method of compressively sampling and reconstructing one ray space. In our method, one weighted matrix which reflects the amplitude structure of non-zero coefficients in 2D-DCT domain is designed and generated by using statistics from available data set. The weighted matrix is integrated in ι1 norm optimization to reconstruct the ray space, and we name this method as statistically-weighted ι1 norm optimization. Experimental result shows that the proposed method achieves better reconstruction result at both low (0.1 of original sampling rate) and high (0.5 of original sampling rate) subsampling rates. In addition, the reconstruction time is also reduced by 25% compared to the reconstruction time by plain ι1 norm optimization.

Citation Download Citation

Qiang Yao, Keita Takahashi, and Toshiaki Fujii "Reconstruction of compressively sampled ray space by using DCT basis and statistically weighted L1 norm optimization", Proc. SPIE 9020, Computational Imaging XII, 90200X (7 March 2014); https://doi.org/10.1117/12.2042132

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