Exploration and Creation


Write Summation as Matrix

It is hard to understand complex computation with summation of numerous symbols. Writing a linear system in matrix form can greatly help to get a high level perspective. However, building a matrix form can be brain burning.

Inverse Kinematics

In this article we discuss a simple but nontraditional exmaple of inverse kinematics.

Representations of Rotation and Derivation

It is hard to represent rotation, either in formula of Euler Angles or Quaternions. There are only three DOF in a rotation, and we need to find a good representation such that we can get derivatives wrp. to 3 individual parameters.

Physics Based Animation: Mass Spring System

What’s Langrangian view and Eulerian view? How to turn a mass spring system into linear equations system, and how to solve it? What is the most advanced research on this topic?