A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
A rotation-minimizing adapted frame on a space curve r(t) is an orthonormal basis (f 1 , f 2 , f 3 ) for R 3 such that f 1 is coincident with the curve tangent t = r /|r | at each point and the normal-plane vectors f 2 , f 3 exhibit no instantaneous rotation about f 1 . Such frames are of interest in applications such as spatial path planning, computer animation, robotics, and swept surface constructions. Polynomial curves with rational rotation-minimizing frames (RRMF curves) are necessarilydoi:10.1016/j.jsc.2010.03.004 fatcat:qmzns23qsbfcjowrarslijyrim