Q1. For a cubic Bezier curve, carry a similar matrix formulation to a cubic spline.
Q2. Derive the cubic spline equations.
Q3. Given a point Q and a parametric curve in the Cartesian space, find the closest point P on the curve to Q.
Q4. Explain the engineering application of cubic splines.
Q5. Derive the condition for C0 and C1 continuity in a cubic Bezier composite surface of two patches.
Q6. What are the types of surfaces that CAD/CAM systems use?
Q7. What is meant by coon surface?
Q8. What do you understand by the form element method of geometric construction?
Q9. Specify the applications of this method of modeling in comparison to that of the variant type.
Q10. What are the limitations in utilizing the sweep method for geometric construction?