Week 02: Control point form, Bernstein Bezier form.
In this lesson, we will discuss the Bernstein polynomials, their matrix form, properties, and control points.
Farin G. Curves and Surfaces for Computer-Aided Geometric Design A Practical Guide. 5th ed. (Academic Press, 2002.)
Page No: 60
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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
