Bezier Curve

Bézier curves are parametric curves widely used to represent smooth, continuous shapes, primarily focusing on efficient and accurate shape modeling and manipulation. Current research emphasizes applications in diverse fields, including robotics (for trajectory planning and object manipulation), computer graphics (for vector image generation and high-definition map construction), and computer vision (for feature extraction and dynamic scene reconstruction). These applications leverage various techniques, such as piecewise Bézier curve representations, integration with neural networks (e.g., in dynamic-NeRF models), and optimization algorithms to minimize error and improve performance. The resulting advancements improve the precision and efficiency of shape representation and manipulation across numerous scientific and engineering disciplines.