RuutBezierkõveral

RuutBezierkõveral refers to a quadratic Bezier curve. It is a type of parametric curve used in computer graphics and related fields for creating smooth curves. A quadratic Bezier curve is defined by three points: two endpoints and one control point. The curve starts at the first endpoint, moves towards the control point without necessarily passing through it, and ends at the second endpoint.

The mathematical definition of a quadratic Bezier curve is typically given by the Bernstein polynomial form. For a curve P(t) with control points P0, P1, and P2, where t ranges from 0 to 1, the equation is P(t) = (1-t)^2 * P0 + 2*(1-t)*t * P1 + t^2 * P2. As t varies from 0 to 1, P(t) traces the path of the curve.

The endpoints P0 and P2 are always on the curve itself. The control point P1 influences the shape and curvature of the line. Moving P1 further away from the line segment connecting P0 and P2 will result in a more pronounced curve, while moving P1 closer to this segment will make the curve straighter. Quadratic Bezier curves are simpler than cubic Bezier curves, which have four control points, and are often sufficient for many design tasks. They are fundamental in vector graphics software and animation systems for defining shapes and motion paths.