Understanding Bezier Curves

What is a Bezier curve?

• A Bezier curve is a statistical model for predicting data trends.

• A Bezier curve is a parametric curve defined by control points used to model smooth curves.

• A Bezier curve is a geometric shape defined by a single point.

• A Bezier curve is a type of polynomial function used for linear equations.

• The curve passes through all three control points.

• The curve passes through P₀ and P₂ but not P₁

How many control points does a cubic Bezier curve have?

• 3

• 4

• 5

• 6

Which continuity requires that the tangent vectors at the junction of the two Bezier curves have the same direction and magnitude?

• C⁰ continuity

• G¹ continuity

• C¹ continuity

• G² continuity

A bezier curve of degree n has ___ control points.

The de Casteljau algorithm is used to calculate the arc length of a Bezier curve.

• True
• False