CMSI 371
CO M P U T E R GR A P H I C S
Spring 2007
Assignment 0405
Time to apply the projection/transformation mathematics that you’ve seen so far.
Not For Submission
1. Read Angel Chapter 5, particularly Sections 5.1
to 5.5 and Sections 5.8 to 5.10, for additional
details on the mathematics behind projection
and camera positioning.
2. Read Angel Chapter 7, Sections 7.1 to 7.7.
3. Read red book Chapter 3 and Appendices E–F
for additional details.
For Submission
Implement a simple 3D wireframe viewing library
using the mathematics that has been covered so far.
This library should have the following:
1. Separate model-view and projection matrices,
with one of these serving as a “current matrix”
on which transform functions operate, similar
to how OpenGL specifies the matrix mode.
2. Your own implementations of the OpenGL
glOrtho, glFrustum, glTranslate, glRotate, glScale, glu-
LookAt, and glViewport functions. These func-
tions should all affect the current matrix.
3. A drawLine3D(x1, y1, z1, x2, y2, z2) function
that draws the given line segment under the cur-
rent model-view, projection, and viewport trans-
formations.
Show off your library by providing a demonstra-
tion program that displays one or more 3D wire-
frame objects in a window.
Implementation Platforms
To implement your library, you’ll need a 2D draw-
ing environment; choose one of the following:
•A Java implementation using Swing and paint-
Component(Graphics)
•A C implementation using OpenGL only for
clearing the display, setting colors, and drawing
2D points (i.e., you may only use glVertex2* for
drawing, and you may not use the OpenGL ver-
sions of the functions that you’re implementing)
•A JavaScript implementation using the canvas tag
within a Web browser
Commit your code to /homework/cmsi371/mygl. Tag
everything as hw-0405.
Extra Credit
Implement clipping in your library; to demonstrate
your implementation, limit the viewport in your
demonstration program so that it is smaller than
the containing window.