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A closed-form expression for the bandwidth of the plenoptic function under finite field of view constraints

机译:在有限视野约束下,在有限视野下的集压缩功能带宽的闭合表达式

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The plenoptic function enables Image-based rendering (IBR) to be viewed in terms of sampling and reconstruction. Thus the spatial sampling rate can be determined through spectral analysis of the plenoptic function. In this paper we examine the bandwidth of the plenoptic function when both the field of view and the scene width are finite. This analysis is carried out on two planar Lambertian scenes, a fronto-parallel plane and a slanted plane, and in both cases the texture is bandlimited. We derive an exact closed-form expression for the plenoptic spectrum of a slanted plane with sinusoidal texture. We show that in both cases the finite constraints lead to band-unlimited spectra. By determining the essential bandwidth, we derive a sampling curve that gives an adequate camera spacing for a given distance between the scene and the camera line.
机译:Plenoptic函数使得能够以采样和重建来查看的基于图像的渲染(IBR)。因此,可以通过增压功能的光谱分析来确定空间采样率。在本文中,当视场和场景宽度都是有限的时,我们会检查压力学功能的带宽。该分析在两个平面兰伯语场景中进行,前平面平面和倾斜平面,并且在这两种情况下,纹理都被带到了。我们为具有正弦纹理的倾斜平面的全光谱引导了精确的闭合表达式。我们表明,在这两种情况下,有限约束导致带无限光谱。通过确定基本带宽,我们得出了一种采样曲线,其给出了场景和相机线之间给定距离的足够相机间距。

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