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Spectral analysis of image-based rendering data with scene geometry

机译：具有场景几何的基于图像的渲染数据的光谱分析

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The plenoptic function is commonly used to model image-based rendering (IBR) in terms of sampling and reconstruction. In this paper, we study the influence of scene geometry on the spectrum of a plenoptic function using spectral analysis. As the scene geometry becomes more complicated, the spectrum of the plenoptic function will broaden. Therefore, the bandwidth of the plenoptic function is closely related to the scene geometry, and the end goal of the bandwidth is to determine the minimum sampling rate (i.e., the minimum number of cameras) for IBR. Under the spectral analysis, we mathematically derive an analytical function to determine the spectral support of the plenoptic function. Based on the support of the plenoptic spectrum, the minimum number of cameras is determined to reconstruct the plenoptic function up to a certain frequency that allows a certain reconstruction quality when performing IBR. Furthermore, we derive a reconstruction filter for the plenoptic sampling for irregularly shaped scenes. Last, the experimental results are presented and compared with the theory.
机译：在采样和重建方面，全光函数通常用于对基于图像的渲染（IBR）进行建模。在本文中，我们使用光谱分析研究了场景几何形状对全光函数光谱的影响。随着场景几何结构变得越来越复杂，全光功能的范围将扩大。因此，全光功能的带宽与场景几何形状密切相关，带宽的最终目标是确定IBR的最小采样率（即最小摄像机数量）。在光谱分析下，我们从数学上推导了解析函数，以确定全光函数的光谱支持。基于全光频谱的支持，确定最少数量的摄像机以重建全光功能，直至达到一定的频率，从而在执行IBR时允许一定的重建质量。此外，我们导出了用于形状不规则场景的全光采样的重建滤波器。最后，给出了实验结果并与理论进行了比较。

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