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Final Exam CS 184: Foundations of Computer Graphics
Prof. James O’Brien page 11 of 16 17. If a surface is defined explicitly by the function x = f (u, v) , write out the equation you would
use to compute the surface’s normal at some point.
4 points 18. Consider this diagram showing a four-joint arm in 2D where each joint is a simple pin joint
and the base is fixed in space. If we are solving an IK problem to place the tip of the arm (the black dot) at a particular location, what is the size of the Jacobian matrix we will be working with?
3 points Draw any one configuration of the arm where two columns of the Jacobian will be parallel
5 points In the drawing you made above, clearly show the direction of the parallel vectors. 3 points In the drawing you ma...
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- Fall '08
- Computer Graphics