13.016 Introduction to Geometric Modeling and Computation, Lecture 5
Thursday, February 20, 1997: Transformations and 3D graphics
S. L. Abrams, x3-7959, sabrams@deslab.mit.edu

These notes are available online as:
http://deslab.mit.edu/DesignLab/courses/13.016/graphics/overview2.html

Outline

Recap of OpenGL and GLUT

3D Geometry

Viewing Pipeline

• Matrix Manipulations
• Modeling Transformations
  • Translation
  • Scaling
  • Rotation
• Viewing Transformations
• Projection Transformations

Building the pipeline

Demos

• Transformation demo: demo1

  To execute on Athena:

      add 13.016
      cd /mit/13.016/graphics
      demo1
  

• Curve demo: ducksoup

  To execute on Athena:

      cd /mit/13.016/ducksoup
      ducksoup
  

Reading Assignment

Neider, OpenGL Programming Guide, Chapter 3 and Appendix G.

For additional mathematical treatment of these topics, you may want to look at:

• Foley, Computer Graphics, Chapter 6.
• Rogers, Mathematical Elements, Chapter 3.

References

• J. D. Foley et al., Computer Graphics: Principles and Practice, 2nd ed., Addison-Wesley, 1990.
• D. F. Rogers and J. A. Adams, Mathematical Elements for Computer Graphics, 2nd ed., McGraw-Hill, 1990.
• J. Neider et al., OpenGL Programming Guide, Addison-Wesley, 1993.
  (Available online as an IRIS InSight document)

• OpenGL WWW Center: http://www.sgi.com/Technology/OpenGL/
• Online OpenGL examples: /usr/share/src/OpenGL
• Online OpenGL/GLUT examples: /mit/13.016/glut/examples and /mit/13.016/glut/redbook

  Note that these example source files include the following header file:

    #include <GL/glut.h>
  

  If you want to compile any of these programs, you will need to change this to:

    #include "glut.h"
  

• Class examples available online: /mit/13.016/graphics

On to 3D geometry...
Back to the 13.016 overview...