B\'ezier Curve Optimization

Bézier curve optimization focuses on efficiently and effectively generating smooth, collision-free trajectories for various applications, primarily in robotics and autonomous systems. Current research emphasizes developing algorithms that optimize Bézier curves under constraints like kinodynamic limitations and safe corridors, often employing graph-theoretic approaches or adaptive degree reduction/splitting techniques to improve computational efficiency. These advancements are significant for improving the performance and safety of autonomous vehicles, robots, and drones by enabling more precise and computationally feasible motion planning.