Lecture 8: Ways to Articulate, Rotations

Now, what are we animating

how do we articulate

1. re-create geometry at every frame (like drawings)
2. manipulate vertices / control points
3. transformations
   1. linear for later
4. non-linear transformations
   1. global deformations (Barr bendy-twisties)
   2. FFDs
   3. lattice-deformers
   4. cages / arbitrary polygons
   5. more deformations in the future
5. hierarchies of deformations
6. shape interpolation (blend-shapes)
   1. why? (artist friendliness)
      1. specify how things move by specifying geometry / sculpting
   2. problems to deal with:
      1. correspondence
      2. motion

Rotations, Rigid Transformations, Linear Transforms

• 1999-MoreRot
• 2004-RigidTrans
• 2008-rotations
• 2009-differences-rotatons
• 2011-rot

1. Why? (what is a rigid transform)
2. What is a rotation?
3. Sets and topology
4. Rotations vs. Orientations
5. Challenge of parameterization
6. 2D concepts