Moments in Graphics

My dissertation has been published digitially and is now available in its entirety as a free download.

We apply the theory of moments to develop computationally efficient methods for real-time rendering of shadows and reconstruction of transient images from few measurements.

My recent paper on non-linearly quantized moment shadow maps promises an executable demo.

Moment shadow maps enable direct filtering to accomplish proper antialiasing of dynamic hard shadows.

The invited extension of our i3D 2016 paper is now published in the Journal of Computer Graphics Techniques.

Like variance shadow maps, the recently proposed moment shadow maps can be filtered directly but they provide a substantially higher quality.

After the previous blog post several readers (namely Morgan McGuire, Mikkel Gjoel and Bart Wronski) expressed interest in 3D blue noise.

Dithering is almost as old as computer graphics but recently it has received quite a lot of attention among game developers.

It's time to deliver on a recent promise.

This post covers a little gem worth sharing: The fastest solution to cubic equations with three real roots that I am aware of.

In response to Morgan McGuire's request this post will explain how I set up this blog using his handy Markdeep, MathJax and Wordpress.

I've got a blog now and you're reading its first post.

Shadow map aliasing is a common artifact in games.

Building upon previous works, we transfer the recently proposed moment shadow mapping to three new applications.

Transient images help to analyze light transport in scenes.

We present moment shadow mapping, a novel technique for fast, filtered hard shadows.

Keywords: automated evaluation, filtered hard shadows, moment problem, shadow mapping, variance