It is now time to implement a simple Monte Carlo integration scheme, the sample mean. It is indeed quite simple and seems to work quite well on some cases, but it apparently breaks down in others. This is a very important lesson: intuition is tremendously useful to get a good visual understanding of complicated theories, but there are times when we hit the wall. If this happens, we have to proceed using formal mathematics. Let’s figure out what went wrong and fix it together soon! (There will be a few segments with Thomas Auzinger, then the solution is presented in segment #23)
About the course:
This course aims to give an overview of basic and state-of-the-art methods of rendering. Offline methods such as ray and path tracing, photon mapping and many other algorithms are introduced and various refinement are explained.
The basics of the involved physics, such as geometric optics, surface and media interaction with light and camera models are outlined.
The apparatus of Monte Carlo methods is introduced which is heavily used in several algorithms and its refinement in the form of stratified sampling and the Metropolis-Hastings method is explained.
At the end of the course students should be familiar with common techniques in rendering and find their way around the current state-of-the-art of the field. Furthermore the exercises should deepen the attendees’ understanding of the basic principles of light transport and enable them to write a simple rendering program themselves.
These videos are the recordings of the lectures of 2015 at the Teschnische Universität Wien by Károly Zsolnai and Thomas Auzinger
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