Autocorrelation, Wigner and Ambiguity Transforms on Polygons for Coherent Radiation Rendering
This addresses the difficulty in generating diffraction functions for fields like optics, holography, and radar, offering a specific solution for coherent radiation rendering.
The paper tackled the problem of simulating radar illumination with wave effects by providing the Wigner transform of arbitrary polygons using geometric transforms and the Stokes Fourier transform, enabling its use in Monte-Carlo rendering for coherent radiation.
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.