Perspective Projection Based on Quaternion Interpolation

Yan Xing; Jie Qing Tan; Pei Lin Hong

doi:10.4028/www.scientific.net/AMM.303-306.2130

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 303-306Perspective Projection Based on Quaternion...

Perspective Projection Based on Quaternion Interpolation

Abstract:

Quaternion sandwiching formula to compute perspective projections has been given by Ron Goldman in an article titled “Understanding quaternions”. In this paper, we applied this method to obtain perspective images of 3D objects, and proposed a modified method to interpolate two projection planes with different directions and distances from eye point to acquire an intermediate viewing plane. Experimental results show that our interpolation method improves the disadvantage of uneven movement speed when quaternion SLERP method is directly adopted.

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Periodical:

Applied Mechanics and Materials (Volumes 303-306)

Pages:

2130-2133

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.303-306.2130

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Online since:

February 2013

Authors:

Yan Xing, Jie Qing Tan, Pei Lin Hong

Keywords:

Perspective Projection, Quaternion, SLERP

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References

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[3] W.R. Hamilton: Proceedings of the Royal Irish Academy, Nov. 11, 1844, 3 (1847), p.1.

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[4] R. Goldman, in: Synthesis Lectures on Computer Graphics and Animation, edited by B.A. Barsky, Vol. 13, Morgan & Claypool Publishers, San Rafael (2010).

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