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A Fourier theory of the light field with the resolution of the sampling camera

In this paper, we study the problem of the light field sampling in image-based rendering (IBR). Using the spectral analysis of light field signal (LFS), the spectrum expression of the LFS with the resolution of the sampling camera is derived. In particular, the influence of the resolution of the sampling camera on the spectrum of the LFS is analyzed. In addition, we derive the relationship between the spectrum of the LFS and the resolution of the sampling camera. Based on the spectral analysis, we mathematically derive an analytical function to analyze the minimum resolution of the sampling camera. It can be applied in obtaining the best balance between the resolution setting of the sampling camera and the quality of the images reconstructed from the LFS.