Bézier & de Casteljau
This interactive simulator explores Bézier & de Casteljau in Math Visualization. Drag control points; live recursive linear-interpolation scaffolding evaluates B(t). Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Suited to beginners and first exposure to the topic. Typical context: Math Visualization.
Key terms
- zier
- casteljau
- bezier de casteljau
- math
- visualization
How it works
**Bézier curves** are everywhere in graphics, fonts and CAD. The **de Casteljau algorithm** evaluates **B(t)** by **repeated linear interpolation**: take each pair of adjacent control points, slide a fraction *t* along the segment, and you get a new — shorter — control polygon. Iterate until a single point remains. It is **numerically stable**, geometric, and reveals beautiful **scaffolding** — drag any **Pᵢ** to reshape the curve in real time.
Key equations
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