Fast construction of accurate quaternion splines

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Fast construction of accurate quaternion splines

Full text

Pdf (291 KB)

Source

International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 24th annual conference on Computer graphics and interactive techniques table of contents

Pages: 287 - 292

Year of Publication: 1997

ISBN:0-89791-896-7

Authors

Ravi Ramamoorthi	California Institute of Technology, MS 350-74, Caltech, Pasadena, Ca
Alan H. Barr	California Institute of Technology, MS 350-74, Caltech, Pasadena, Ca

Sponsor

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

Publisher

ACM Press/Addison-Wesley Publishing Co. New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 13, Downloads (12 Months): 63, Citation Count: 16

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/258734.258870 What is a DOI?

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
	2	Richard H. Bartels , John C. Beatty , Brian A. Barsky, An introduction to splines for use in computer graphics & geometric modeling, Morgan Kaufmann Publishers Inc., San Francisco, CA, 1987
	3	Michael F. Cohen, Interactive spacetime control for animation, Proceedings of the 19th annual conference on Computer graphics and interactive techniques, p.293-302, July 1992
	4	S. GABRIEL and J. KAJIYA. Spline interpolation in curved space. In SIGGRAPH 85 course notes for State of the Art in Image Synthesis(#11), 1985.
	5	H.-J. HA. A new camera control method preserving view-up vectors. Master's thesis, KAIST, Taejon 305-701, Korea, 1996.
	6	W.R. HAMILTON. Elements of Quaternions (Volume I, II). Chelsea Publishing Company, 1969.
	7	B. JUTTLER. Visualization of moving objects using dual quaternion curves. Computer & Graphics, 18(3):315-326,1994.
	8	B. JUTTLER and M.G. WAGNER. Computer-aided design with spatial rational B-spline motions. Journal of Mechanical Design, 118(2):193-201, June 1996.
	9	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
	10	Myoung-Jun Kim , Myung-Soo Kim , Sung Yong Shin, A general construction scheme for unit quaternion curves with simple high order derivatives, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, p.369-376, September 1995 [doi>10.1145/218380.218486]
	11	M.-S. KIM and K.-W. NAM. Interpolating solid orientations with circular blending quaternion curves. Computer Aided Design, 27(5):385-398,1995.
	12	Z. LIU and M.E COHEN. Keyframe motion optimization by relaxing speed and timing. In 6th Eurographics Workshop on Animation and Simulation (Maastricht 1995), pages 144-153,1995.
	13	Numerical Algorithms Group, Ltd. NAG Fortran Library Document, 1988.
	14	Ravi Ramamoorthi , Cindy Ball , Alan H. Barr, Dynamic Splines with Constraints for Animation, California Institute of Technology, Pasadena, CA, 1997
	15	B. RAVANI and E PARK. Bezier curves on riemannian manifolds and lie groups with kinematic applications. Journal of Mechanical Design, 117(1):36-40,March 1995.
	16	Ken Shoemake, Animating rotation with quaternion curves, ACM SIGGRAPH Computer Graphics, v.19 n.3, p.245-254, Jul. 1985
	17	K. SHOEMAKE. Quaternion calculus for animation. In SIGGRAPH 91 course notes for Math for Siggraph(#2), 1991.
	18	Demetri Terzopoulos , Hong Qin, Dynamic NURBS with geometric constraints for interactive sculpting, ACM Transactions on Graphics (TOG), v.13 n.2, p.103-136, April 1994 [doi>10.1145/176579.176580]
	19	W. WANG and B. JOE. Orientation interpolation in quaternion space using spherical biarcs. In Graphics Interface 93, pages 24-32,1993.
	20	William Welch , Andrew Witkin, Variational surface modeling, Proceedings of the 19th annual conference on Computer graphics and interactive techniques, p.157-166, July 1992
	21	D. ZWILLINGER. Handbook of Differential Equations. Academic Press, San Diego, 1989.

CITED BY 16

	Samuel R. Buss , Jay P. Fillmore, Spherical averages and applications to spherical splines and interpolation, ACM Transactions on Graphics (TOG), v.20 n.2, p.95-126, April 2001
	Marc Alexa, Linear combination of transformations, ACM Transactions on Graphics (TOG), v.21 n.3, July 2002
	Sam Yeates , Eun-Jung Holden , Robyn Owens, An animated Auslan Tuition System, Machine Graphics & Vision International Journal, v.12 n.2, p.203-214, February 2003
	Jason C. Wong , Amitava Datta, Animating real-time realistic movements in small plants, Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia, June 15-18, 2004, Singapore
	Dae-Eun Hyun , Bert Jüttler , Myung-Soo Kim, Minimizing the distortion of affine spline motions, Graphical Models, v.64 n.2, p.128-144, March 2002
	Andrew J. Hanson, Constrained optimal framings of curves and surfaces using quaternion Gauss maps, Proceedings of the conference on Visualization '98, p.375-382, October 18-23, 1998, Research Triangle Park, North Carolina, United States
	Ravi Ramamoorthi , James Arvo, Creating generative models from range images, Proceedings of the 26th annual conference on Computer graphics and interactive techniques, p.195-204, July 1999
	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
	Michael Hofer , Helmut Pottmann, Energy-minimizing splines in manifolds, ACM Transactions on Graphics (TOG), v.23 n.3, August 2004
	Gregory M. Nielson, "-Quaternion Splines for the Smooth Interpolation of Orientations, IEEE Transactions on Visualization and Computer Graphics, v.10 n.2, p.224-229, March 2004
	Takashi Kanai, Parametric curves on meshes, Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia, November 29-December 02, 2005, Dunedin, New Zealand
	Helmut Pottmann , Michael Hofer, A variational approach to spline curves on surfaces, Computer Aided Geometric Design, v.22 n.7, p.693-709, October 2005
	Johannes Wallner , Helmut Pottmann, Intrinsic subdivision with smooth limits for graphics and animation, ACM Transactions on Graphics (TOG), v.25 n.2, p.356-374, April 2006
	Andrew J. Hanson, Visualizing quaternions, ACM SIGGRAPH 2005 Courses, July 31-August 04, 2005, Los Angeles, California
	Andrew J. Hanson, Visualizing quaternions: course notes for Siggraph 2007, ACM SIGGRAPH 2007 courses, August 05-09, 2007, San Diego, California
	Sung-Hee Lee , Demetri Terzopoulos, Spline joints for multibody dynamics, ACM Transactions on Graphics (TOG), v.27 n.3, August 2008