1. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 1 CS465: Computer Graphics I Professor: Steve Marschner

2. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 2 Computer graphics: The study of creating, manipulating, and using visual images in the computer.

3. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 3 Problems in graphics 2D imaging –compositing and layering –digital filtering –color transformations 2D drawing –illustration, drafting –text, GUIs POLYNOMIALS CONVOLUTION

4. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 4 Problems in graphics CONT’D 3D modeling –representing 3D shapes –polygons, curved surfaces, … –procedural modeling [Hoppe et al. 1993] Headus—Cysurf [Prusinkeiwicz et al. 2001] GRAMMARS NUMERICAL OPTIMIZATION DIFFERENTIAL GEOMETRY

5. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 5 Problems in graphics CONT’D 3D rendering –2D views of 3D geometry –projection and perspective –removing hidden surfaces –lighting simulation Cornell PCG Henrik Wann Jensen INTEGRATION

6. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 6 Cornell PCG

7. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 7 Henrik Wann Jensen

8. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 8 Problems in graphics CONT’D Interaction –2D graphical user interfaces –3D modeling interfaces –virtual reality UNC—Office of the Future SGI—OpenInventor TRIGONOMETRY

9. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 9 Problems in graphics CONT’D Animation –keyframe animation –physical simulation Pixar Enright et al. SIGGRAPH 2003

10. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 10

11. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 11 Problems in graphics CONT’D Animation –keyframe animation –physical simulation INTERPOLATION DIFFERENTIAL EQUATIONS Pixar Enright et al. SIGGRAPH 2003

12. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 12 Particle system (PDEs) Animation –Keyframing and interpolation –Simulation

13. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 13 Computer graphics: Mathematics made visible.

14. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 14 Computer graphics: Mathematics made visible --- and when that is not feasible, approximate it!

15. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 15 Graphics Applications Entertainment –film production –film effects –games Pixar—Monsters, Inc. New Line Cinema—The Two Towers ID Software—Quake III Arena

16. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 16 Graphics Applications Entertainment –film production –film effects –games Science and engineering –computer-aided design –scientific visualization U. of Utah—Alpha 1 NCSA—Virtual Director

17. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 17 Graphics Applications Entertainment –film production –film effects –games Science and engineering –computer-aided design –scientific visualization Graphic Arts Adobe Photoshop [Photo: P. Greenspun] Adobe Illustrator

18. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 18 Graphics Applications Entertainment –film production –film effects –games Science and engineering –computer-aided design –scientific visualization Graphic Arts Fine Arts Daniel Rozin—Wooden Mirror Kelly Heaton - Reflection Loop

19. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 19 Graphics Applications Entertainment –film production –film effects –games Science and engineering –computer-aided design –scientific visualization Graphic Arts Virtual Reality

20. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 20 Graphics Applications Entertainment –film production –film effects –games Science and engineering –computer-aided design –scientific visualization Graphic Arts Fine Arts Virtual Reality Training & Simulation NASA/Ames—ACFS MapBlast—LineDrive map

21. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 21 Evans and Sutherland

22. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 22 Evans and Sutherland

23. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 23 Evans and Sutherland

24. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 24

25. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 25

26. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 26 Course Topics

27. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 27 Images What is an image? Compositing Resampling [Titanic ; DigitalDomain; vfxhq.com]

28. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 28 Rendering ray tracing shading & shadows transparency texture mapping [Glassner 89]

29. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 29 Geometric transformations affine transforms perspective transforms viewing rotate, then translatetranslate, then rotate

30. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 30 Graphics pipeline rasterization interpolation z-buffer vertex and fragment ops APPLICATION COMMAND STREAM GEOMETRY PROCESSING TRANSFORMED GEOMETRY RASTERIZATION FRAGMENTS FRAGMENT PROCESSING FRAMEBUFFER IMAGE DISPLAY

31. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 31 Modeling splines parametric surfaces triangle meshes [Rogers]

32. Cornell CS465 Fall 2004 Lecture 1© 2004 Steve Marschner 32 Mathematics used We’ll need (and will review) pieces of: –linear algebra –geometry –calculus –differential geometry