ericco@ssl.berkeley.edu (Eric C. Olson) (10/11/90)
can anyone recommend a reference book on quaternions, or papers? please mail replies, thanks, Eric -- Eric ericco@ssl.berkeley.edu
rick@pangea.Stanford.EDU (Rick Ottolini) (10/11/90)
In article <ERICCO.90Oct10110149@soc1.ssl.berkeley.edu> ericco@ssl.berkeley.edu (Eric C. Olson) writes: >can anyone recommend a reference book on quaternions, or papers? There is a nice summary in Glassner's Graphics Gems.
ph@miro.Berkeley.EDU (Paul Heckbert) (10/14/90)
In article <ERICCO.90Oct10110149@soc1.ssl.berkeley.edu> ericco@ssl.berkeley.edu (Eric C. Olson) asks: >can anyone recommend a reference book on quaternions, or papers? Here's a little bibliography of papers on quaternions and 3-D rotations. Not listed here are references from the physics literature; dynamics research in physics has explored 3-D rotations in considerable depth. Check the physics literature under keywords "Cayley-Klein", "spinor", "rotation", and "quaternion", for instance. %A Steven A. Gabriel %A James T. Kajiya %T Spline Interpolation in Curved Space %B SIGGRAPH '85 State of the Art in Image Synthesis seminar notes %D July 1985 %K quaternion %A W. R. Hamilton %T Elements of Quaternions %I Chelsea Publishing Co. %C New York %D 1969 %Z rotation about arbitrary axis (cited by Paul) %A A. R. Klumpp %T Singularity-Free Extraction of a Quaternion from a Direction Cosine Matrix %J Journal of Spacecraft %V 13 %N 12 %D Dec. 1976 %P 754-755 %Z (cited by Paul) %A Richard P. Paul %T Robot Manipulators: Mathematics, Programming, and Control %I MIT Press %C Cambridge, MA %D 1981 %Y ph %Z 3-d transformations %A Edward Pervin %A Jon A. Webb %T Quaternions in Computer Vision and Robotics %B Computer Vision and Image Processing (CVPR '83) %D June 1983 %P 382-383 %Y ph %A Douglas S. Richardson %T Quaternion Algebra for Three-Dimensional Computer Graphics and Modeling %J Australian Comp. Sci. Communications (6th Australian Comp. Sci. Conf.) %V 5 %N 1 %D Feb. 1983 %P 109-120 %Y ph %A Ken Shoemake %T Animating Rotation with Quaternion Curves %J Computer Graphics (SIGGRAPH '85 Proceedings) %V 19 %N 3 %D July 1985 %P 245-254 %A D. E. Whitney %T The Mathematics of Coordinated Control of Prosthetic Arms and Manipulators %J Trans. ASME, Journal of Dynamic Systems, Measurement, and Control %D Dec. 1972 %P 303-309 %Z converting rotation matrix to angle, axis (cited by Paul)