CS 445: Topics for Sept 18/20/22, 2017

• Labs:

  • Complete: Lab 3: Transformations and Scene Graphs
  • Begin: Lab 4: Navigation

• Finish discussion of scene graphs from last week.

• Overview: We now want to look at the remaining transformations in the geometry pipeline:

  

• Camera Transformations:

  • What is a Frame (Coordinate System) - See handout.
  • Transform vertices between frames: Object Coordinates, World Coordinates, Camera Coordinates:
    

    See notes on Coordinate Systems

  • The Viewing Transformation and how is it calculated from the eye position and orientation (view rotation). See LookAt Function
    
  • Projection Types

  • The View Frustum: Orthographic and Perspective

    Orthographic View Frustum	Perspective View Frustum

    Also see View Frustum

  • What are the Projection and Viewport Transformations, and how are they calculated.

    • Projection Types See Projection Transformations (Orthographic and Perspective) And what is the Perspective Division?
      Viewport Transforms (note in this picture the clip coordinates are from z=0 to 1, and should be from z=-1 to 1 (although it doesn't really matter in the long run).
      

  • Camera Naviation:

    • How to implement a fly-through (see Lab 4)
      
    • How to implement Maya's track, tumble and dolly. See Coordinate Systems notes.