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Chapter 15: Working with the Camera

Chapter 15: Working with the Camera. This Chapter: we will learn about. One example of implementing Computer Graphics Camera Working with multiple Cameras Examples of interactive camera manipulation Select primitive in 3D scenes. Changes to Library: 2D to 3D. No changes:

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Chapter 15: Working with the Camera

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  1. Chapter 15: Working with the Camera Chapter 15

  2. This Chapter: we will learn about • One example of implementing Computer Graphics Camera • Working with multiple Cameras • Examples of interactive camera manipulation • Select primitive in 3D scenes Chapter 15

  3. Changes to Library: 2D to 3D • No changes: • Primitive: 2D primitives drawn in 3D • SceneNode: continue to load MW Matrix • Model: continue to be application main class • Changes: • WindowHandler • When loading matrices! Chapter 15

  4. WindowHandler: 2D vs 3D Chapter 15

  5. Lib14: Support for 3D • New classes: • Camera • PrimitiveAxisFrame: • Drawing x,y,z axis frame • Modifications: • WindowHandler • Support Camera • Load View and Projection Matrices • XformInfo • Support 3D rotation Chapter 15

  6. Lib14: New Classes and Changes Chapter 15

  7. Lib14: The Camera Class Chapter 15

  8. Lib14: WindowHandler changes Chapter 15

  9. Lib14: XformInfo Changes • Xform Operator in 2D • Scale, Translate, Pivot: all 3D quantity • Problem: • Rotation: θ rotates wrt to z-axis! • Xform Operator in 3D (for now) • Rotation: (θx θy θz) • Three rotations with respect to each axes Chapter 15

  10. Lib14: XformInfo details … Xform Operator: Chapter 15

  11. Tut 15.1: Working with Lib14 • Using: Camera and WindowHandler Chapter 15

  12. Tut 15.1: WindowHandler details Chapter 15

  13. Lib14: D3D_WindowHandler Chapter 15

  14. Tut 15.1: DrawHandler Chapter 15

  15. Tut 15.1: Application CTutorialDlg Chapter 15

  16. Tut 15.2: Working with 2 Cameras • CTutorialDlg class Chapter 15

  17. Interactive Manipulation of Camera • Parameters under explicit user control • Camera position • Look at position • Parameters implicitly controlled • Up Vector: try to maintain sense of “up” • Parameters typically not controlled • Near/Far planes (no real-world correspondence) • FOV – zooming control via camera position movement Chapter 15

  18. Notation and Terminology Chapter 15

  19. Tut 15.3: Camera Manipulation with the Mouse • Left Mouse Button (LMB) • Orbit • Middle (MMB) • Pan • Right (RMB) • Zoom Chapter 15

  20. LMB: Tumble or Orbit the Camera Chapter 15

  21. Left/Right Orbiting • Axis of rotation: The “Up” Direction Chapter 15

  22. Up/Down Orbiting • Axis or rotation: Side Vector Chapter 15

  23. Orbit: Idea • Orbit or Rotate • Need Matrix: • Camera Position: Chapter 15

  24. Orbit: Alternatively Chapter 15

  25. Orbit: Implementation • Rotate the World when compute MV • Instead of: • Compute: • Compute and load: Chapter 15

  26. Lib14: Orbit Support • Camera: mouse movement to radians • And … using in WindowHandler Chapter 15

  27. Lib14: Using camera orbit info • In WindowHandler:: ComputeViewMatrix Chapter 15

  28. MMB: Pan or Track the camera Chapter 15

  29. Vertical Tracking: (Along UpVector) Chapter 15

  30. Tracking: Implementation • Horizontal/Vertical mouse movements • dx and dy • Computer Movement vector: • Left/Right tracking: along side-vector • Up/down tracking: along up-vector • Update both camera and at positions: Chapter 15

  31. Lib14: Tracking Support • Camera Class: Chapter 15

  32. RMB: Dolly or Zoom the Camera Chapter 15

  33. Zoom: Implementation • Mouse movement: d • Move camera eye position in the viewing direction! • Watch out! Chapter 15

  34. Lib14: Mouse Zoom support • Camera class Chapter 15

  35. Drawing the Camera • Requires at least two Views! • View-A cannot draw the camera of View-A! • Can only draw the camera for another view! • i.e., View-A draws camera of View-B Chapter 15

  36. Drawing camera: View Matrix Details • Recall: for “orbiting”, we computed and loaded MV with: • To properly draw camera-B, from view-A • Include camera-B orbiting! • Un-do view-A’s camera orbiting ( ) Chapter 15

  37. Implementation: • Load into the WORLD matrix Chapter 15

  38. 3D DC to WC Transformation • Must: DC NDC  EC  WC Chapter 15

  39. Transform: DC to NDC • Assume • Recall: • Or: • In 3D: Chapter 15

  40. DC Points and NDC Ray Chapter 15

  41. NDC Ray to EC Ray Transform Chapter 15

  42. NDC  EC • If: • In general: or: • Given: • Then: Chapter 15

  43. Reconstruct the ray in EC: • Given: • In general, NDC Point: • is a line in EC: • Or: Chapter 15

  44. EC to WC Transform: • Given: • Choose convenient ze values • ze= 0 and ze = 1 • Use to compute WC positions: Chapter 15

  45. Tut 15.4: Mouse Click to WC • Shift-LMB to see the selection ray Chapter 15

  46. Tut 15.4: Device to WC Xform Chapter 15

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