Image-free computer graphics

Eugene d’Eon, one of the most influential and prolific authors in subsurface light transport research states an indeed very interesting and thought-provoking thought in his review of the Photon Beam Diffusion paper:

“It seems unclear to me that graphics papers like this one need images anymore. Carefully presented plots do much more to convince the reader of the accuracy of the proposed transport theory approximations. Showing selected results where a half-space searchlight solution is applied approximately to curved geometry, while pretty, does little to convince the reader of the method’s overall robustness.”

Just keep it nice and mathematical: if you have the plots of the convolution kernel you are using for rendering images, that is basically all you need to show – for rendered images, one can find an angle and a lighting setup where any possible algorithm can come out on top. If we wish to call computer graphics research scientific, it is definitely an argument that I find worthy of some discussion.

Progress on Navier-Stokes regularity

To the very best of my knowledge, Kazakh professor Mukhtarbay Otelbaev submitted a paper on the solution of the Navier-Stokes regularity Millenium problem. It seems that he had found an upper bound for a unique solution for the periodic boundary condition formulation of the problem. For the readers who are familiar with the notation, the main result is stated as follows.


This result is under review as we speak. In the end, we are hoping for a solution that is constructive, i.e. an algorithm that provides the solution itself, not only shows the existence of it – if so, this work might be an important stepping stone in this process. The translation of the main result without the proof is available here. Terence Tao also has some interesting recent results.

Wisdom of the Buddha(brot)

This little gem is among the most fascinating mysteries one can encounter in mathematics. Read below.


Scalar fields, vector fields, divergence and curl

These complicated terms bear quite simple and intuitive meanings. Read below.


Oddtown, Eventown

I have added a short write-up on the oddtown, eventown problems in mathematics.


Pierre Moreau visiting

Pierre Moreau from Ecole normale supérieure de Cachan is dropping by for a project in global illumination. Welcome! 🙂

Silvana Podaras graduation

Silvana Podaras has graduated – the title of her thesis is “Automated Lighting Design For Photorealistic Rendering“, and is available here.  The paper version and the aftermath of this work is also available. Be sure to check them out!

Congratulations! 🙂