Do NURBS CV curves have segments?

Do NURBS CV curves have segments?

• A. Yes
• B. No, because their control vertices don't lie on the curve
• C. Only when subdivided
• D. Only on the editing plane

Answer: (B)

In NURBS, the curve is defined by a set of control points, weights, and basis functions, and the curve is a smooth, continuous path that sits near the control polygon. The curve does not typically pass through the control vertices themselves; the CVs influence the shape but are not points that the curve must go through. Because the curve does not run along straight lines between these control points, it isn’t accurate to think of a NURBS curve as a chain of straight segments connected by its CVs. The actual curve is formed by weighted blending across knot spans, producing a smooth form rather than a polyline. So there aren’t segments defined by straight connections between the control vertices. Subdividing or refining the curve can give you more detail or control, but the fundamental idea remains: the CVs generally do not lie on the curve, and the curve is not made of CV-to-CV straight segments.

In NURBS, the curve is defined by a set of control points, weights, and basis functions, and the curve is a smooth, continuous path that sits near the control polygon. The curve does not typically pass through the control vertices themselves; the CVs influence the shape but are not points that the curve must go through. Because the curve does not run along straight lines between these control points, it isn’t accurate to think of a NURBS curve as a chain of straight segments connected by its CVs. The actual curve is formed by weighted blending across knot spans, producing a smooth form rather than a polyline. So there aren’t segments defined by straight connections between the control vertices. Subdividing or refining the curve can give you more detail or control, but the fundamental idea remains: the CVs generally do not lie on the curve, and the curve is not made of CV-to-CV straight segments.