Fast approximation to the spherical linear interpolation...

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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10120904

ABSTRACT:
A method for an accurate approximation to Slerp function that is much faster to compute on current processors. Specifically, the present invention provides a method for obtaining an interpolated quaternion comprising forming a first product of a first quaternion and a first scaling function; forming a second product of a second quaternion and a second scaling function; and forming a sum of the first product and the second product, wherein the first scaling function is approximated by obtaining a first polynomial and wherein the second scaling function is approximated by obtaining a second polynomial, thus obtaining an interpolated quaternion that is in between the first quaternion and the second quaternion.

REFERENCES:
patent: 4797836 (1989-01-01), Witek et al.
patent: 5212480 (1993-05-01), Ferro
patent: 5224064 (1993-06-01), Henry et al.
patent: 5793382 (1998-08-01), Yerazunis et al.
patent: 6377906 (2002-04-01), Rowe
patent: 6628286 (2003-09-01), Comair et al.
Kenneth et al., Smooth Interpolation of Rotational Motions, 1988, IEEE, pp. 724-729.
Thomas et al., Cooperating manipulator control using dual quaternion coordinates, 1994, IEEE, pp. 2417-2418.
Myoung-Jun et al., A C2-continous B-spline Quaternion Curve Interpolating a Given Sequence of Solid Orientations, 1995, IEEE, pp. 72-81.
Brian Martin, Quaternion Int rpolation, Jun. 1999, HTML at http://www.theory.org/software/qfa/writeup
ode12.html, pp. 1-2.
Moller et al.,Real Time Rendering, A.K. Peters Ltd., pp. 48-49 (1999).
Press et al.,Numerical Recipes in C, Cambridge University Press, pp. 190-208 (1992).
DeLoura, Mark A. (ed.),Game Programming Gems, ISBN: 1-58450-049-2, Charles River Media, Inc., pp. v-xviii and 195-218 (2000).
Foley, James D. et al. (eds).,Computer Graphics: Principles and Practice, ISBN: 0-201-84840-6, Addison-Wesley Publishing Company, Inc., pp. xvii-xxiii and 1057-1064 (1996).
Watt, Alan and Watt, Mark,Advanced Animation and Rendering Techniques: Theory and Practice, ISBN: 0-201-54412-1, ACM Press, pp. xi-xiv and 360-368 (1992).

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