COS 426 Home
Projects
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Project 0 Project 1 (hints)Project 2 (hints)Project 3 (hints)Project 4 (hints)Project 5 (hints)Project 6 |
| Assigned: | 10/13/97 |
| Due: | 11/02/97 |
| Points: | 20 |
The purpose of this project is to extend your program from Project 1 to handle smooth curves. Most of the features will involve 2D manipulation, but there will also be a small 3D component. (This is just a taste of what will follow after Fall Break when we focus on 3D more seriously.)
Required features (15 points total)
| 1. |
Scan convert cubic Bezier curves by recursively subdividing a fixed
number of times. |
| 2. |
Choose a letter of the alphabet and design a shape for that
character constructed out of Bezier curves. (If you do this 25
more times, you are a font designer.) |
| 3. |
Print to postscript and use the postscript engine to scan
convert. |
| 4. |
Implement Catmull-Rom splines using the Bezier curves as
primitives. |
| 5. |
Implement Cubic B-splines too. |
| 6. |
Generate a surface of revolution by wrapping your curves around the
Y axis. Dump this to an Inventor file.
View it using ivview. Check out /usr/demos/Inventor/revo for for
an example program that creates surfaces of revolution with
polygonal profiles. |
Optional features
The following list shows the optional features in order of increasing difficulty. The number in front of an item indicates how many points it is worth.
| (1) |
Implement adaptive subdivision for drawing Bezier curves in
relatively straight segments. |
| (1) |
Use a "tension" parameter in your Catmull-Rom splines. |
| (1) |
Allow the user to drag the control points of the curves around,
interactively changing the curve. |
| (2) |
Draw Bezier curves of any degree (any number of control points). |
| (2) |
Closed splines and endpoint-interpolating splines. |
| (2) |
Don't forget the art
contest. |
| (3) |
Implement quadratic and quintic B-splines. |
| (3) |
Other splines, e.g. C2 interpolating or Beta splines or NURBS.
(3 points each). |
| (3) |
Modify B-spline (or other) curves by direct manipulation. |
| (4) |
Implement swept surfaces. The user specifies both a profile curve
and a sweep curve (trajectory). The profile curve is swept along
the path of the sweep curve to produce a surface. |
| (9) |
Implement multiresolution curves (Finkelstein and Salesin, SIGGRAPH
94). |
Hints
Keep an eye on the hints that will appear during the course of this project, from frequently asked questions, precepts, etc.
Credit
Same as before.