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Transformations and Projections in Computer Graphics

By David Salomon

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Transformations and Projections in Computer Graphics provides a thorough background, discussing the mathematics of perspective in a detailed, yet accessible style. It also reviews nonlinear projections in depth, including fisheye, panorama, and map projections frequently used to enhance digital images.

Full Description

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  • ISBN13: 978-1-8462-8392-5
  • 304 Pages
  • User Level: Professionals
  • Publication Date: January 21, 2007
  • Available eBook Formats: PDF
Full Description
This book provides a thorough background in these two important topics in graphics. The book introduces perspective in an original way and discusses the mathematics of perspective in detail, in an accessible way. It treats nonlinear projections in depth, including the popular fisheye, panorama, and map projections. Only a basic knowledge of linear algebra, vectors, and matrices is required, as key ideas are introduced slowly, examined and illustrated by figures and examples, and enforced through solved exercises. Topics and Features: - Provides a complete and self-contained presentation of the topic’s core concepts, principles, and methods - Features a 12-page color section - Includes a wealth of exercises - Integrates a complementary website that supplies additional auxiliary material Written for computer professionals both within and outside the field of Computer Graphics, this succinct text/reference will prove an essential resource for readers. Also suitable for graduates studying in Computer Graphics and CAD courses.
Table of Contents

Table of Contents

  1. From the contents Transformations.
  2. Introduction.
  3. Two
  4. Dimensional Transformations.
  5. Three
  6. Dimensional Coordinate Systems.
  7. Three
  8. Dimensional Transformations.
  9. Transforming the Coordinate System.
  10. Parallel Projections.
  11. Orthographic Projections.
  12. Axonometric Projections.
  13. Oblique Projections.
  14. Perspective Projection.
  15. One Two Three... Infinity.
  16. History of Perspective.
  17. Perspective in Curved Objects.
  18. The Mathematics of Perspective.
  19. General Perspective.
  20. Transforming The Object.
  21. Viewer At An Arbitrary Location.
  22. Coordinate
  23. Free Approach.
  24. The Viewing Volume.
  25. Stereoscopic Images.
  26. Creating a Stereoscopic Image.
  27. Viewing a Stereoscopic Image.
  28. Nonlinear Projections.
  29. False Perspective.
  30. Fisheye Projection.
  31. Circle Inversion.
  32. Panoramic Projections.
  33. Cylindrical Panoramic Projection.
  34. Spherical Panoramic Projection.
  35. Cubic Panoramic Projection.
  36. Six
  37. Point Perspective.
  38. Other Panoramic Projections.
  39. Panoramic Cameras.
  40. Telescopic Projection.
  41. Microscopic Projection.
  42. Anamorphosis.
  43. Map Projections.

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    1. Mathematics for Computer Graphics


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