DIRECTIONS:   In this applet, you create a twice differentiable curve consisting of a sequence of cubic Bezier curves. The algorithmn generating the curve is the same as in the C2 Bezier spline applet, but functions in the same manner as for 3D Bezier curves in displaying the curve.

To create the curve in space, there are two views representing different projections of the curve onto a two dimensional plane. There is a perspective projection and a parallel projection. The button "PERSPECTIVE" allows you to toggle between the two different views. The text on the button tells you which view you are currently using. By clicking on the drawing panel, you place points on the plane x=1 (the image plane). By pressing, "A" you move the point in towards the camera (at the origin) directly on the line connecting the origin to point on the image plane. The point will not move, but the coordinates of the control point will change. By pressing "Z", you move the point away from the camera (at the origin) directly on the line connecting the origin and the point on the image plane. Again the point viewed, does not change but its coordinates do. In addition, you can rotate the curve by using the arrow keys, and zoom in and out using page up and page down.