Rethinking Quaternions is popular PDF and ePub book, written by Ron Goldman in 2010, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Rethinking Quaternions can be Read Online from any device for your convenience.
Rethinking Quaternions Book PDF Summary
In addition to these theoretical issues, we also address some computational questions. We develop straightforward formulas for converting back and forth between quaternion and matrix representations for rotations, reflections, and perspective projections, and we discuss the relative advantages and disadvantages of the quaternion and matrix representations for these transformations. Moreover, we show how to avoid distortions due to floating point computations with rotations by using unit quaternions to represent rotations. We also derive the formula for spherical linear interpolation, and we explain how to apply this formula to interpolate between two rotations for key frame animation. Finally, we explain the role of quaternions in low-dimensional Clifford algebras, and we show how to apply the Clifford algebra for R3 to model rotations, reflections, and perspective projections. To help the reader understand the concepts and formulas presented here, we have incorporated many exercises in order to clarify and elaborate some of the key points in the text."--P. 4 of cover.
Detail Book of Rethinking Quaternions PDF
- Author : Ron Goldman
- Release : 23 September 2024
- Publisher : Morgan & Claypool Publishers
- ISBN : 9781608454204
- Genre : Computers
- Total Page : 177 pages
- Language : English
- PDF File Size : 7,7 Mb
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