MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

COMPUTER GRAPHICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
cubic bezier curve is example of
A
Approximating Curve
B
Interpolating Curve
C
Smooth Curve
D
Exponential Curve
Explanation: 

Detailed explanation-1: -A cubic Bezier curve can approximate a circle but not perfectly fit a circle. A standard approach is to split a circle into four separate arcs. Errors of the ap-proximation of a quarter of the circle (90 degree circu-lar arc) have been analyzed in [3].

Detailed explanation-2: -Bézier curves are piecewise polynomial functions that can provide local approximation of contours using small number of parameters. This is useful because human perception of shapes is based on curvatures of the contours [13].

Detailed explanation-3: -A Cubic Bezier curve is defined by four points P0, P1, P2, and P3. P0 and P3 are the start and the end of the curve and, in CSS these points are fixed as the coordinates are ratios. P0 is (0, 0) and represents the initial time and the initial state, P3 is (1, 1) and represents the final time and the final state.

Detailed explanation-4: -A common approximation is to use four beziers to model a circle, each with control points a distance d=r*4*(sqrt(2)-1)/3 from the end points (where r is the circle radius), and in a direction tangent to the circle at the end points.

Detailed explanation-5: -The term Bézier curve actually refers to a family of similar curves. SkiaSharp supports three types of Bézier curves, called the cubic, the quadratic, and the conic. The conic is also known as the rational quadratic.

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