Computer Aided Geometric Design (CAGD) studies the construction and manipulation of curves and surfaces using polynomials or piecewise polynomials, and their rational function counterparts. Such geometric modeling is used in industrial design, such as aircraft and cars.
Spline functions are smooth continuous piecewise polynomials through a given set of points. They are used in the computer assisted design of tools and instruments in manufacturing, and in the design of boats, planes and automobiles. Splines allow a much greater degree of shape control than traditional interpolation methods. We explore the use of splines in CAGD with the help of Maple software.
