Week 01: Parametric curves (scalar and vector case), Algebraic form, Hermite form
This lesson is devoted to Parametric curves (scalar and vector case), Algebraic form, Hermite form.
Farin G. Curves and Surfaces for Computer-Aided Geometric Design A Practical Guide. 5th ed. (Academic Press, 2002.)
Page No:106
Course Material
- Week 01: Parametric curves (scalar and vector case), Algebraic form, Hermite form
- Week 02: Control point form, Bernstein Bezier form.
- Week 03: Matrix forms of parametric curves.
- Week 04: Algorithms to compute B .B. form.
- Week 05: Convex hull property, Affine invariance property.
- Week 06: Variation diminishing property, Rational quadratic form, Rational cubic form.
- Week 07: Tensor product surface, B.B. Cubic patch.
- Week 08: Quadratic by cubic B.B. Patch, B.B. Quartic patch.
- Week 09: Mid Term Exam
- Week 10: splines, Cubic splines.
- Week 11: End conditions of cubic spline, Clamped conditions, Natural splines, Periodic splines.
- Week 12: Natural conditions,Second derivative conditions, periodic conditions.
- Week 13: Not a knot conditions, General splines.
- Week 14: Truncated power function.
- Week 15: Representation of spline in terms of truncated power functions.
- Week 16: Representation of spline in terms of truncated power functions.
- Week 17: Odd degree interpolating splines.
- Week 18: Final Term Exam
- Chapters 18
- Department Mathematics
- Teacher
Dr. Muhammad Abbas
