COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Bezier Curve
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Hermite Curve
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Exponential Curve
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Direct Curve
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Detailed explanation-1: -These are curves defined by four control points and a cubic polynomial defined in terms of a parameter t. The control points q0 and q1 define the position of the curve at t=0 and t=1 respectively, and q′0 and q′1 its derivative.
Detailed explanation-2: -Hermite Curves (cont.) M (a 4x4 basis matrix) such that C = G • M. Note: G will hold our geometric constraints (endpoints and derivatives), while M will be constant across all Hermite curves.
Detailed explanation-3: -Hermite interpolation consists of computing a polynomial of degree as low as possible that matches an unknown function both in observed value, and the observed value of its first m derivatives. This means that n(m + 1) values. must be known. The resulting polynomial has a degree less than n(m + 1).
Detailed explanation-4: -Hermite cubic curve is also known as parametric cubic curve, and cubic spline. This curve is used to interpolate given data points that result in a synthetic curve, but not a free form, unlike the Bezier and B-spline curves, The most commonly used cubic spline is a three-dimensional planar curve (not twisted).