A general construction scheme for unit quaternion curves with simple high order derivatives

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A general construction scheme for unit quaternion curves with simple high order derivatives

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International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 22nd annual conference on Computer graphics and interactive techniques table of contents

Pages: 369 - 376

Year of Publication: 1995

ISBN:0-89791-701-4

Authors

Myoung-Jun Kim	Pohang University of Science and Technology (POSTECH), Pohang 790-784, Korea
Myung-Soo Kim
Sung Yong Shin	Korea Advanced Institute of Science and Technology (KAIST), Taejeon 305-701, Korea

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 28, Downloads (12 Months): 133, Citation Count: 27

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Alan H. Barr , Bena Currin , Steven Gabriel , John F. Hughes, Smooth interpolation of orientations with angular velocity constraints using quaternions, Proceedings of the 19th annual conference on Computer graphics and interactive techniques, p.313-320, July 1992
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	8	JUTTLER, B. Visualization of moving objects using dual quaternion curves. Computers & Graphics 18, 3 (1994), pp. 315-326.
	9	KIM, M.-J., KIM, M.-S., AND SHIN, S. A compact differential formula for the first derivative of a unit quaternion curve. To appear in J. of Visualization and Computer Animation (1995).
	10	Myoung-Jun Kim , Myung-Soo Kim , Sung Yong Shin, A C/sup 2/-continuous B-spline quaternion curve interpolating a given sequence of solid orientations, Proceedings of the Computer Animation, p.72, April 19-21, 1995
	11	KIM, M.-S., AND RAM, K.-W. Interpolating solid orientations with circular blending quaternion curves. To appear in Computer-Aided Design (1995).
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	13	NIELSON, G., AND HEILAND, R. Animated rotations using quaternions and splines on a 4D sphere. Programmirovanie(Russia) (July-August 1992), Springer-Verlag, pp. 17-27. English edition, Programming and Computer Software, Plenum Pub., New York.
	14	PLETINCKS, D. Quaternion calculus as a basic tool in computer graphics. The Visual Computer 5, 1 (1989), pp. 2-13.
	15	POBEGAILO, A. Modeling of C~ spherical and orientation splines. To appear in Proc. of Pacific Graphics ' 95 (1995).
	16	SCHLAG, J. Using geometric constructions to interpolate orientation with quaternions. Graphics GEMS H, Academic Press, 1992, pp. 377-380.
	17	Ken Shoemake, Animating rotation with quaternion curves, ACM SIGGRAPH Computer Graphics, v.19 n.3, p.245-254, Jul. 1985
	18	SHOEMAKE, K. Quaternion calculus for animation. Math for SIGGRAPH (ACM SIGGRAPH '91 Course Notes #2) (1991).
	19	WANG, W. Rational spherical curves. Presented at Int'l. Conf. on CAGD, Penang, Malaysia (July 4-8, 1994).
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	J. Lee , S. Y. Shin, General Construction of Time-Domain Filters for Orientation Data, IEEE Transactions on Visualization and Computer Graphics, v.8 n.2, p.119-128, April 2002
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