Proceedings of the 2013 International Conference on Advanced ICT and Education

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

Authors
Legend Chen
Corresponding Author
Legend Chen
Available Online August 2013.
DOI
https://doi.org/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.
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Proceedings
2013 International Conference on Advanced ICT and Education (ICAICTE-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-79-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/icaicte.2013.10How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Legend Chen
PY  - 2013/08
DA  - 2013/08
TI  - A Derivation of Free-rotation in the Three-dimensional Space
BT  - 2013 International Conference on Advanced ICT and Education (ICAICTE-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaicte.2013.10
DO  - https://doi.org/10.2991/icaicte.2013.10
ID  - Chen2013/08
ER  -