Hi, all:

This is my last semester at DigiPen Institute of Technology, so I decided to give a lecture to my fellow schoolmates on constraint-based physics to pass down a few things I know about implementing game physics.

Here are the slides I used:
http://allenchou.net/slides-constraint-based-physics/

Below are the main points I went over in this lecture:

• The flow chart of a typical physics engine.
• How to derive velocity constraints.
• Contact constraints, including normal and tangential resolutions.
• Solving multiple constraints simultaneously (block-solving).

You don't really need to implement a full-blown physics engine with narrow phase, broad phase, and other fancy stability features like contact caching and warm starting, just in order to get something cool. In the end, I presented a simple constraint, the mouse constraint, as an exercise homework.

I encourage anyone who hasn't done any physics-related stuff to try implementing mouse constraints with a simple semi-implicit Euler integrator; you will end up with something you can drag around, reacting and looking physically "correct".

If you are not familiar with motion dynamics, I also wrote two posts on its fundamentals and implementation examples, please do check them out:
http://allenchou.net/2013/12/game-physics-motion-dynamics-fundamentals/
http://allenchou.net/2013/12/game-physics-motion-dynamics-implementations/

Lastly, here's a full list of the posts I have written on game physics:
http://allenchou.net/game-physics-series/

As always, please tell me if you think I've got something wrong. Thanks

Nice work Allen, I'm pretty sure you're not going to have a problem getting a job after graduation.

Actually, I already did. I'm going to work at Naughty Dog

Very nice. Thanks for the info.

Bookmarked!