December 2012
Intermediate to advanced
631 pages
13h 10m
English
Content preview from Graphics Gems III (IBM Version)
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III.1
QUATERNION INTERPOLATION WITH EXTRA SPINS
Jack Morrison, Digital Insight, Evergreen, Colorado
Publisher Summary
This chapter provides an overview of quaternion interpolation with extra spins. Quaternions are handy for representing the orientation or rotation of a 3-D object. The spherical linear interpolation—or the Slerp operation—interpolates between two quaternions at a constant speed, using the most direct rotational path between the orientations. An animator may, however, want the interpolation to provide extra spins along the same path. This chapter discusses a simple formula for providing extra spins along the same path. Given two unit quaternions A and B and an interpolation parameter α ranging from 0 to 1, the basic Slerp ...
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