A thesis submitted ir1 partial fulfillment of the requirement for the degree of Master of Science

Thesis (M.Sc.) - Asian Institute of Technology, 1989

In this work, Bezier approximation is used to define curves and surfaces. This approximation is fairly versatile and provides a strong intuitive feel for how to change or control the shape of a curve or a surface. This can be seen from the Bezier curve and surface equations: [...] Tile first equation is a conventional binomial distribution of one parameter u, and the second of two parameters u and w. Those two equation can be written in matrix form, so the computed results can easily be transformed into plot array for drawing the images on the computer output devices. A subsystem, Build world, enables the user to prepare a 2D or 30 geometric model and to change the viewing parameters, to view the image from different angles. Also it provides two kinds of procedures: first, to generate curves or surfaces of a geometric model of an object by using user specified data control points, and the second, by using the existing data (the data also can be modified). The input to these procedures consists of the number of control points p, the number of points on the curve n and the control points coordinates.