A Derivation of Free-rotation in the Three-dimensional Space

DOI

10.2991/icaicte.2013.10How to use a DOI?

Keywords

Three-dimensional, Free-rotation, Computer Graphics, Coordinate Transformation

Abstract

The paper describes an algorithm deriva-tion of rotation in the three-dimensional space, which is an efficient method for rotating objects in the space. The key in the derivation process is to summarize the many thoughts on this issue, included the geometric algebra, coordinate transformation, linear space and matrix operations, and analysis of some possible algorithm of rotation, such as basic rotation, the combination of rotations and coordinates system transformation. Finally, obtains a matrix as a formula for the free-rotation in the three dimensions.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Legend Chen
PY  - 2013/08
DA  - 2013/08
TI  - A Derivation of Free-rotation in the Three-dimensional Space
BT  - Proceedings of the 2013 International Conference on Advanced ICT and Education
PB  - Atlantis Press
SP  - 49
EP  - 53
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaicte.2013.10
DO  - 10.2991/icaicte.2013.10
ID  - Chen2013/08
ER  -