The interpolation of curves and surfaces is commonly used in Computer Aided Geometric Design (CAGD). Historically, these methods have applications in automotive, aerospace, and shipbuilding industries. More recently, their uses have expanded to computer animation. Various methods of interpolation include: Newton Interpolation, Lagrange Interpolation, and Bezier and Hermite approaches. The use of geometry matrices unifies these methods.
We utilize Maple software to plot and manipulate these curves and surfaces. Geometry matrices can be scaled, multiplied, and added. We examine how these operations affect the resulting plots.
