IMU Pre-Integration Position Estimates | Complete Mathematical Derivation

🚀 Master the mathematics behind IMU Pre-Integration Position Estimates. In this video, we derive the pre-integrated position equation (Delta p) from first principles. Starting with the IMU motion model, we integrate acceleration step by step and show how modern robotics systems estimate relative position between two keyframes. In this video: IMU motion model Continuous-time dynamics Rotation matrix transformation Velocity integration Position integration Gravity compensation Complete derivation of the pre-integrated position equation Practical intuition behind every mathematical step This is Part of a complete IMU Pre-Integration series covering the mathematics used in Visual-Inertial Odometry, LiDAR-Inertial Odometry, and modern state estimation. If you enjoy deep robotics mathematics, don't forget to Like, Share, and Subscribe. #Robotics #IMU #Preintegration #SLAM #VIO #LIO #SensorFusion #StateEstimation #ROS2 #Mathematics #Engineering #AutonomousSystems