Concept explainers
Find the one-piece BĂ©zier curve
(a)
(b)
(c)
a)
To find:The one- piece Bezier curve defined by the given four points.
Answer to Problem 1E
The Bezier curve defined by the given points is;
Explanation of Solution
Given:
Four points are
Formula used:
Bezier curve equations are
Calculation:
From the given data,
We have,
The coefficients of Bezier curve are determined as follows:
Therefore, the Bezier curve equations are
b)
To find:The one- piece Bezier curve defined by the given four points.
Answer to Problem 1E
The Bezier curve defined by the equations
Explanation of Solution
Given:
Four points are
Formula used:
Bezier curve equations are
Calculation:
From the given data,
We have,
The coefficients of Bezier curve are determined as follows:
Therefore, the Bezier curve equations are
c)
To find:The one- piece Bezier curve defined by the given four points.
Answer to Problem 1E
The Bezier curve defined by the equations
Explanation of Solution
Given:
Four points are
Formula used:
Bezier curve equations are
Calculation:
From the given data,
We have,
The coefficients of Bezier curve are determined as follows:
Therefore, the Bezier curve equations are
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