Autocorrelation, Wigner and Ambiguity Transforms on Polygons for Coherent Radiation Rendering
Robotics
2022-02-08 v1 Graphics
Signal Processing
Abstract
Simulating the radar illumination of large scenes generally relies on a geometric model of light transport which largely ignores prominent wave effects. This can be remedied through coherence ray-tracing, but this requires the Wigner transform of the aperture. This diffraction function has been historically difficult to generate, and is relevant in the fields of optics, holography, synchrotron-radiation, quantum systems and radar. In this paper we provide the Wigner transform of arbitrary polygons through geometric transforms and the Stokes Fourier transform; and display its use in Monte-Carlo rendering.
Cite
@article{arxiv.2202.02676,
title = {Autocorrelation, Wigner and Ambiguity Transforms on Polygons for Coherent Radiation Rendering},
author = {Jacob Mackay and David Johnson and Graham Brooker},
journal= {arXiv preprint arXiv:2202.02676},
year = {2022}
}