Bézier Curve Visualizer with Pygame

This project visualizes a Bézier curve using Pygame. You can click and drag the red control points to dynamically reshape the curve in real-time.

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How It Works

The curve is generated using the explicit Bézier formula:

[ B(t) = \sum_{i=0}^{n} \binom{n}{i} (1 - t)^{n-i} t^i P_i ]

• P_i are control points (shown in red).
• Points connected with lines (100)

Features

• Right click to create multiple Bezeir objects
• Select between Quadratic and Cubic curves
• Click on tangent to visualize tangent lines at each point on curve
• Click and drag control points to reshape the curve
• Real-time updates as you drag control points
• See arc length of the curve