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31 articlesWeek 3 Summary: Mastering Inverse Kinematics
Recap everything we learned about inverse kinematics this week — from analytical solutions to real-world applications — and get a preview of Week 4.
IK in the Real World: Industrial Arms, Humanoids, and Beyond
Explore how inverse kinematics powers real robots — from factory arms doing pick-and-place to humanoid robots walking and grasping.
Redundancy and Optimization: Getting More from Your Robot
Learn how to exploit redundant degrees of freedom in robot arms for obstacle avoidance, joint limit optimization, and singularity robustness.
Numerical IK: Newton-Raphson and Cyclic Coordinate Descent
Master iterative numerical methods for inverse kinematics including Newton-Raphson and CCD, with practical Python implementations.
The Jacobian Method: Velocity-Based Inverse Kinematics
Understand how the Jacobian matrix bridges joint velocities and end-effector motion, and use it to solve inverse kinematics iteratively.
Analytical Inverse Kinematics: Solving IK the Elegant Way
Learn how to derive closed-form analytical IK solutions for 2-DOF and 3-DOF robot arms using trigonometry and geometry.
Gill Pratt Says Humanoid Breakthrough Is About the Brain, Not the Body
Toyota Research Institute CEO Gill Pratt, architect of the DARPA Robotics Challenge, shares his unvarnished take on the humanoid hype bubble and why AI—not hardware—is driving the real revolution.