Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-428 Theory of Approximation and Splines-II

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MATH-428 Theory of Approximation and Splines-II

Parametric Curves (Scalar and Vector Case)  Cubic algebraic form
 Cubic Hermite form
 Cubic control point form
 Bernstein Bezier cubic form
 Bernstein Bezier general form
 B-Spline cubic form
 Matrix forms of parametric curves
 Rational quadratic form
 Rational cubic form
 Tensor product surface, Bernstein Bezier cubic patch, quadratic by cubic Bernstein Bezier
patch, Bernstein Bezier quartic patch
 Convex hull property
 Affine invariance property
 Variation diminishing property
 Algorithms to compute Bernstein Bezier form
Spline Functions
 Introduction to splines
 Cubic Hermite splines
 End conditions of cubic splines: clamped conditions, natural conditions, 2nd Derivative
conditions, periodic conditions, not a knot conditions
 General Splines: natural splines, periodic splines
 Truncated power function, representation of spline in terms of truncated power functions,
examples

Credit hours/ Marks:- 3

Examinations

MATH-428 Theory of Approximation and Splines-II

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