@article{munoz07optimization,
author = {Mu\~{n}oz, Adolfo and Gutierrez, Diego and Ser\'{o}n, Francisco J.},
title = {Optimization Techniques for Curved Path Computing},
year = {2007},
issue_date = {May 2007},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
volume = {23},
number = {7},
issn = {0178-2789},
url = {https://doi.org/10.1007/s00371-007-0122-y},
doi = {10.1007/s00371-007-0122-y},
abstract = {Participating media with an inhomogeneous index of refraction make light follow curved paths. Simulating this in a global illumination environment has usually been neglected due to the complexity of the calculations involved, sacrificing accurate physical simulations for efficient visual results.This paper aims to simulate non-linear media in a more reasonable time than previous works without losing physical correctness. Accuracy is achieved by solving the Eikonal equation of geometrical optics, which describes the path followed by a light beam that traverses a non-linear medium. This equation is used in the context of a photon mapping extension.To improve the efficiency of the method, we study the existing correlation between numerical methods and the description of the non-linear medium, in terms of simulation time and error. Also, by taking advantage of several features of the scenes that include non-linear media, new optimization techniques that can be applied both for ray tracing and photon mapping will be developed. Flight or driving simulators could greatly benefit from this work. },
journal = {Vis. Comput.},
month = may,
pages = {493–502},
numpages = {10},
keywords = {Atmospheric phenomena, Non-linear media, Optimization}
}