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Issue No. 02 - March/April (2005 vol. 25)
ISSN: 0272-1716
pp: 93-95
Hua Zhang , Southwest Jiaotong University
Changqian Zhu , Southwest Jiaotong University
The recent method of deriving linear transformation in 3D physical space described by R. Goldman (see <em>IEEE CG&A</em>, vol. 23, no. 3, 2003, pp. 66-71) provided a unified framework, and works well with quaternion techniques in many transformations, but the other two kinds of the transformations, which are the parallel projection onto a plane and parallel projection onto a line, still work in the vector method. In this article, we propose a novel method to make the deriving linear transformation in the two parallel projections work well with quaternion techniques, therefore all the transformations described in Goldman's article could be derived with quaternion techniques.
quaternion and linear transformation

H. Zhang and C. Zhu, "Deriving Linear Transformations in 3D Using Quaternion Algebra," in IEEE Computer Graphics and Applications, vol. 25, no. , pp. 93-95, 2005.
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