posted on 2024-10-31, 21:14authored byChristopher Gilliam, Pier Dragotti, Mike Brookes
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 present a method of non-uniformly sampling a scene, with a smoothly varying surface, given a finite number of samples. This method approximates such a scene with a set of slanted planes subject to the constraint of finite number of samples. We use the recent spectral analysis of a single slanted plane to determine a piecewise constant spatial sampling rate for the scene. Finally, we show that this sampling rate results in a non-uniform sampling scheme that reconstructs the plenoptic function beyond that of uniform sampling.