Transformation

Introduction

• Why Transformation
  • Modeling
    • Moving the objects to the desired location
    • Multiple instances of a protostype stape
    • Kinematics of linkages/skeletons - character animation
  • Viewing
    • projection transforms
• Types
  • Linear (preserves parallel lines)
    • Translation
    • Rotation
    • Scaling
  • projection: perspective/orthographic projection
  • non-linear: twists, bends, warps, morphs
• Implementation: Metrics
  • Representation with a $4\times 4$ matrix: Homogeneous coordinates