Homework 3

Homework III

Curve Interpolation Implementation

1.0 Abstract

We use a interactive interface to create Hermite curves and Bezier curves(*) for interpolating set of points.

2.0 Idea of the codes

For set of points, we create a curve for each pair of contiguous points. At the beginning, we assign a default tangent vector for each of them. It will be (1, 1) for the first and the last point, and P(n+1)-P(n-1) on the Point P(n). Later, you can adjust them by dragging the associated arrows in Hermite case or associated control points in Bezier case.

Part of the interface is based on code 'DrawTest.java', the fomulae to compute Hermite and Bezier curve is based on the Graphics textbook by Foley.

3.0 Welcome to Program Demo, you can click the mouse button to append a point and drag to adjust the curves.

(*) see 'Computer Graphics, Principles and Practice' by Foley, van Dam, Feiner a nd Hughes, 2nd Edition, Addison Wesley, 1990