advanced computer graphicsn, Exercises of Computer Graphics

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Typology: Exercises

2023/2024

Uploaded on 03/30/2024

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12- How many control points are required to specify a Bezier curve of degree d?
13- The Bezier curve defined by the control points A0, A1, and A2 is to be transformed to the
Bezier curve defined by B0, B1, B2, as shown in the figure. The transformation should move
point A0 to B0 and A2 to B2.
- Explain which transformation matrices are applied and in which order - Calculate the
coordinates of control point B1
- Derive the parametric equation of the resulting curve, C2 at (t=0, 0.25, 0.5, 0.75, 1).
14- Indicate which of the following are not Bezier curves (there may be none or more than
one) and write why each cannot be a Bezier curve.

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12 - How many control points are required to specify a Bezier curve of degree d? 13 - The Bezier curve defined by the control points A0, A1, and A2 is to be transformed to the Bezier curve defined by B0, B1, B2, as shown in the figure. The transformation should move point A0 to B0 and A2 to B2.

  • Explain which transformation matrices are applied and in which order - Calculate the coordinates of control point B
  • Derive the parametric equation of the resulting curve, C2 at (t=0, 0.25, 0.5, 0.75, 1). 14 - Indicate which of the following are not Bezier curves (there may be none or more than one) and write why each cannot be a Bezier curve.