Why are Bézier curves often used for smooth robot path generation?

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Why are Bézier curves often used for smooth robot path generation?

Asked on Nov 08, 2025

Answer

Bézier curves are frequently used in robotics for path generation due to their ability to create smooth and continuous trajectories, which are essential for ensuring stable and predictable robot motion. These curves are particularly advantageous in motion planning because they offer intuitive control over the shape of the path through a set of control points, allowing for precise adjustments to the trajectory.

Example Concept: Bézier curves are parametric curves that provide a smooth path by interpolating between a series of control points. The curve is defined mathematically, ensuring continuity and differentiability, which is critical for smooth velocity and acceleration profiles in robotic motion. This makes them ideal for applications like robotic arms and autonomous vehicles, where precise and smooth movements are required.

Additional Comment:

Bézier curves are computationally efficient, making them suitable for real-time path planning.
They allow for easy manipulation of the path shape by adjusting control points.
These curves naturally handle boundary conditions, which is beneficial for ensuring smooth transitions between path segments.
They are widely used in both 2D and 3D path planning scenarios.

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