[PDF] Rethinking Quaternions: Theory and Computation (Synthesis Lectures on Computer Graphics and Animation)

ISBN: 1608454207

Category: Tutorial


Posted on 2017-10-18, by luongquocchinh.

Description



Author: Ron Goldman, Brian Barsky ( | Publisher: Morgan and Claypool | Category: Computers (Other) | Language: English | Page: 176 | ISBN: 1608454207 | ISBN13: 9781608454204 |

Description: Quaternion multiplication can be used to rotate vectors in three-dimensions. Therefore, in computer graphics, quaternions have three principal applications: to increase speed and reduce storage for calculations involving rotations, to avoid distortions arising from numerical inaccuracies caused by floating point computations with rotations, and to interpolate between two rotations for key frame animation. Yet while the formal algebra of quaternions is well-known in the graphics community, the derivations of the formulas for this algebra and the geometric principles underlying this algebra are not well understood. The goals of this monograph are to provide a fresh, geometric interpretation for quaternions, appropriate for contemporary computer graphics, based on mass-points to present better ways to visualize quaternions, and the effect of quaternion multiplication on points and vectors in three dimensions using insights from the algebra and geometry of multiplication in the complex plane to derive the formula for quaternion multiplication from first principles to develop simple, intuitive proofs of the sandwiching formulas for rotation and reflection to show how to apply sandwiching to compute perspective projections.

DOWNLOADDownload this book
Rethinking Quaternions: Theory and Computation (Synthesis Lectures on Computer Graphics and Animation).pdf
https://dailyuploads.net/j6cknim2hj7o

Sponsored High Speed Downloads
9475 dl's @ 2606 KB/s
Download Now [Full Version]
6978 dl's @ 2764 KB/s
Download Link 1 - Fast Download
6788 dl's @ 2029 KB/s
Download Mirror - Direct Download



Search More...
[PDF] Rethinking Quaternions: Theory and Computation (Synthesis Lectures on Computer Graphics and Animation)

Search free ebooks in ebookee.com!


Links
Download this book

No active download links here?
Please check the description for download links if any or do a search to find alternative books.


Related Books

  1. Ebooks list page : 32514
  2. 2009-07-09Introductory Tiling Theory for Computer Graphics (Synthesis Lectures on Computer Graphics & Animation)
  3. 2017-11-22[PDF] Introductory Tiling Theory for Computer Graphics (Synthesis Lectures on Computer Graphics and Animation)
  4. 2017-12-15[PDF] Mathematical Tools for Shape Analysis and Description (Synthesis Lectures on Computer Graphics and Animation)
  5. 2017-12-06[PDF] Rethinking Rehabilitation: Theory and Practice (Rehabilitation Science in Practice Series)
  6. 2013-11-18Information Theory Tools for Computer Graphics (Synthesis Lectures on Computer Graphics and Animation) (repost)
  7. 2011-08-09A Blossoming Development of Splines (Synthesis Lectures on Computer Graphics and Animation)
  8. 2009-09-20Information Theory Tools for Computer Graphics (Synthesis Lectures on Computer Graphics and Animation)
  9. 2010-04-05GPU-based Techniques for Global Illumination Effects (Synthesis Lectures on Computer Graphics and Animation)
  10. 2009-03-24Practical Global Illumination with Irradiance Caching (Synthesis Lectures on Computer Graphics and Animation)
  11. 2008-12-06High Dynamic Range Video (Synthesis Lectures on Computer Graphics and Animation)
  12. 2018-01-21[PDF] Dynamic Binary Modification: Tools, Techniques, and Applications (Synthesis Lectures on Computer Architecture)
  13. 2018-01-20[PDF] Genetic Programming Theory and Practice XII (Genetic and Evolutionary Computation) - Removed
  14. 2018-01-20[PDF] Genetic Programming Theory and Practice X (Springer Genetic and Evolutionary Computation) - Removed
  15. 2018-01-20[PDF] Genetic Programming Theory and Practice V (Genetic and Evolutionary Computation) (v. 5) - Removed
  16. 2018-01-20[PDF] Genetic Programming Theory and Practice VI (Genetic and Evolutionary Computation) - Removed
  17. 2018-01-20[PDF] Genetic Programming Theory and Practice IV (Genetic and Evolutionary Computation) - Removed
  18. 2018-01-16[PDF] Economic Dynamics: Theory and Computation - Removed
  19. 2018-01-16[PDF] Genetic Programming Theory and Practice IX (Genetic and Evolutionary Computation) - Removed
  20. 2018-01-16[PDF] Genetic Programming Theory and Practice XIII (Genetic and Evolutionary Computation) - Removed

Comments

No comments for "[PDF] Rethinking Quaternions: Theory and Computation (Synthesis Lectures on Computer Graphics and Animation)".


    Add Your Comments
    1. Download links and password may be in the description section, read description carefully!
    2. Do a search to find mirrors if no download links or dead links.
    Back to Top