I really wanted to post my newest research a few weeks ago entitled “Analytic Single Scattering in Participating Medias”, but then I got stuck in a dilemma concerning the use of LaTeX in WordPress blogs, which I thought I had solved with mimetex. I will reveal the pre-abstract of the post:
Abstract
Computing participating media efficiently is a tough task, however recent research in real-time computer graphics brings some innovative examples of how to do this. For example the CryENGINE 2 shows some innovation images. Although these approaches might not be correct in a physical sense - the way they fake inhomogeneous medias such as ice, jade, vegetation and skin still produces convincing results into the gaming world.
An analytic approach towards single scattering is explored and an exact expression on how to simulate volumetric effects, like ocean rendering where the surface is illuminated by a distant light source is derived. In addition, a novel approach of how to simulate homogeneous translucent objects illuminated by a near point light source is derived. Both approaches is done correctly in the physical sense.
Once it was done I discovered that I had inserted a lot of mathematical expressions in the text using $$, which is not supported by WordPress! So I thought that a search and replace with the public mimetex link would do the job, but doing so yielded a very poor result! Iam currently trying different things to get a good result, because posting the post as pdf file kind of eliminates the idea of blogging!
However, while trying to solve the problem I thought that I might as well write another post on a completely different topic, namely how to exploit the inverse function theorem to find the inverse of a function. Enjoy!