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+ An example path planned for the robot to collect some data while moving in a snake-like "scanning" pattern. A cross-section of the workspace with a plane at Z=-180mm was created and a boundary was drawn using a convex hull. The hull was given some padding to prevent sending the robot close to a singularity.
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### The Jacobian
The Modern Robotics [2] textbook details the process of deriving the Jacobian for a delta robot. The Jacobian is useful for converting end effector velocities to joint velocities. Using the Jacobian we can convert end-effector position trajectories into Joint velocity trajectories.
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## End-Effector Sensors