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CIS 350 – I Game Programming Instructor: Rolf Lakaemper

CIS 350 – I Game Programming Instructor: Rolf Lakaemper. Review and Questions. About. The following slides give a review over most of the topics we talked about. There are questions you should be able to answer, if not: the answers are given, too. German. We learned some German words….

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CIS 350 – I Game Programming Instructor: Rolf Lakaemper

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  1. CIS 350 – I Game Programming Instructor: Rolf Lakaemper

  2. Review and Questions

  3. About The following slides give a review over most of the topics we talked about. There are questions you should be able to answer, if not: the answers are given, too.

  4. German We learned some German words…

  5. German • So: • What’s the meaning of • Erfrischungskaltgetränk ? • Joystick • Soda • Flower Power

  6. German • So: • What’s the meaning of • Erfrischungskaltgetränk ? • Joystick • Soda • Flower Power

  7. History History of Computer Games

  8. History Which of the following games can be considered to be the first computer game ?

  9. History • Mission Elevator • Tennis for Two • Pong • Halo 2

  10. History • Mission Elevator • Tennis for Two (1958) • Pong • Halo 2

  11. History Which game started the commercial success of computer games ?

  12. History • Mission Elevator • Tennis for Two • Pong • Halo 2

  13. History • Mission Elevator • Tennis for Two • Pong (1972) • Halo 2

  14. History The Sinclair Spectrum, being a British 8 bit (Z80) computer in 1982, came with a RAM of …

  15. History • 40 Byte • 4 kB • 16 kB • 512 kB • 4 MB

  16. History • 40 Byte • 4 kB • 16 kB (Graphics included !) • 512 kB • 4 MB

  17. Genres Game Genres

  18. Genres Name 5 Genres !

  19. Genres • Adventure (Text/Graphic/Action) • Education • Fight • FPS • MMOG • Platform • Puzzle • Racing • RPG • Simulation • Sports • Strategy • Traditional

  20. Fractals Fractal Landscapes

  21. Fractals • Definiton of Fractals • Self Similarity • Fractal Dimension • Midpoint Replacement • van Koch Snowflake • Diamond Square Algorithm

  22. Fractals On which of the following arrays would the DS algorithm be able to operate ?

  23. Fractals • 12 x 12 • 128 x 32 • 128 x 128 • 129 x 33 • 129 x 129 • 17 x 17 x 17

  24. Fractals • 12 x 12 • 128 x 32 • 128 x 128 • 129 x 33 • 129 x 129 • 17 x 17 x 17

  25. Fractals In a 5 x 5 grid, having the corners pre-inititialized, what are the coordinates of the first point computed by the Diamond Step ?

  26. Fractals • (0,0) denotes the upper left point, rows first. • (2,2) • (3,3) • (2,3) • (4,0)

  27. Fractals • (0,0) denotes the upper left point, rows first. • (2,2) • (3,3) • (2,3) • (4,0)

  28. 3D Math 3D MATH BASICS

  29. 3D Math • Scalar / Dot / Cross Product • Transformations- Scaling, Rotation, Translation • Homogeneous Coordinate System • Projections, Parallel and Perspective

  30. 3D Math Which product is needed to scale (stretch) a vector ?

  31. 3D Math • Scalar • Dot • Cross

  32. 3D Math • Scalar • Dot • Cross

  33. 3D Math Which product is needed to compute the normal vector of a plane ?

  34. 3D Math • Scalar • Dot • Cross

  35. 3D Math • Scalar • Dot • Cross

  36. 3D Math The DOT product can be utilized to …

  37. 3D Math • Compute the angle between two vectors • Compute the AREA spanned by two vectors • Rotate a vector around another

  38. 3D Math • Compute the angle between two vectors • Compute the AREA spanned by two vectors • Rotate a vector around another

  39. 3D Math Which of the following matrices stretches a vector by factor 3 in all directions ?

  40. 3D Math

  41. 3D Math

  42. 3D Math Homogeneous Coordinates (=> 4x4 Matrices) are used to…

  43. 3D Math • Rotate a vector without any information about the angle • Decrease the dimensionality of a vector • Represent the translation as a matrix multiplication • Unify all dimensions

  44. 3D Math • Rotate a vector without any information about the angle • Decrease the dimensionality of a vector • Represent the translation as a matrix multiplication • Unify all dimensions

  45. 3D Math The PARALLEL projection along an axis of the coordinate system…

  46. 3D Math • Reduces the dimensionality from 3D to 2D • Increases the dimensionality from 2D to 3D • Shows objects being closer bigger than others being far away

  47. 3D Math • Reduces the dimensionality from 3D to 2D • Increases the dimensionality from 2D to 3D • Shows objects being closer bigger than others being far away

  48. 3D Math The PERSPECTIVE projection …

  49. 3D Math • Shows all objects scaled to the same size • Increases the dimensionality from 2D to 3D • Shows objects being closer bigger than others being far away

  50. 3D Math • Shows all objects scaled to the same size • Increases the dimensionality from 2D to 3D • Shows objects being closer bigger than others being far away

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