Wednesday, Oct. 13:  Guest Speaker - Dr. Brent Insko, Intel

2D and 3D Transformations

Transformations of Objects       Hill: Chapter 5;   

Task: Develop general procedures for applying translation, rotation, and scaling parameters to reposition and resize 2D objects. Then extend to 3D.

• Translation
  • with respect to the origin
  • with respect to an arbitrary fixed point
• Scaling
  • with respect to the origin
  • with respect to an arbitrary fixed point
• Rotation
  • with respect to the origin
  • with respect to an arbitrary fixed line
    
    
• Homogeneous Coordinates
  
  
• Composition of Transformations 
  

OpenGL and Affine Transformations


• the pipeline
• the Current Transformation
• the stack
  
• Matrix Multiplication
  • the Identity Matrix
    
    
• 3D Affine Modeling Transformations   (MODELVIEW matrix)
  • scale (sx, sy, sz)
  • translate (tx, ty, tz)
  • rotate with respect to a vector
    
    

REFERENCE(S):

Computer Graphics Using OpenGL (Hill):
      Chapter 5;
OpenGL Manual/v.1.2:  Modeling Transformations, pages 104 - 112;
GLUT Programming Interface:

/classes/cs3014/files/Transformations/demo_transform1.cpp
/classes/cs3014/files/Transformations/demo_transform2.cpp
/classes/cs3014/files/Transformations/demo_transform3.cpp
/classes/cs3014/files/Transformations/demo_transform4.cpp