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problem 1:

Describe the difference between the explicit formula, a closed form and a parametric form for a curve in two dimensions. Give illustrations to describe your answer.

problem 2:

Describe the term mathematical continuity (Cn) when joining the two curves.

problem 3:

Give the formulation of the cubic Bezier curve in two dimensions, describing the role of the parameter and control points.

problem 4:

Consider the joint between the two cubic Bezier curves. Define and prove the constraints on their control points to make sure:

a) C0 continuity at the joint
b) C1 continuity at the joint
c) C2 continuity at the joint

problem 5:

Describe the implications of requiring C3 continuity at joint between the two cubic Bezier curves.

Computer Graphics, Computer Science

  • Category:- Computer Graphics
  • Reference No.:- M98924

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