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How are curves used to create complex 3D shapes?

Curves enable 3D shape creation via extrusion, lofting, or sweeping with precise types for flexible, accurate designs.

How are curves used to create complex 3D shapes?

Curves are foundational guides for creating complex 3D shapes, enabling the generation of surfaces or volumes through key operations like extrusion, lofting, or sweeping.

- Extrusion: A 2D curve (e.g., a circle or polygon) is extended along a straight or curved path to form a 3D shape, such as a cylinder from a circle curve. - Lofting: Multiple curves (e.g., cross-sections) are connected to generate a smooth surface, ideal for organic forms like human faces or car bodies. - Sweeping: A profile curve moves along a guide curve, shaping surfaces—for example, a bottle’s neck from a circle and spiral guide.

Using precise curve types (e.g., Bézier, NURBS), these methods balance flexibility and accuracy, making curves essential for both organic and mechanical 3D designs.

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