(or later at https://slides.com/russtedrake/fall21-lec15)
Charles W. Wampler and Andrew J. Sommese. Numerical algebraic geometry and algebraic kinematics. Acta Numerica, 20:469-567, 2011.
Inverse kinematics as an optimization
\min_q | q-q_{desired}|
subject to:
rich end-effector constraints
joint limits
collision avoidance
"gaze constraints"
"feet stay put"
balance (center of mass)
...
work by Hongkai Dai et al. at TRI
Danny Driess and Jung-Su Ha and Marc Toussaint, Deep Visual Reasoning: Learning to Predict Action Sequences for Task and Motion Planning from an Initial
Scene Image, Robotics: Science and Systems (R:SS) 2020.