Fc. Wang et Pk. Wright, OPEN-ARCHITECTURE CONTROLLERS FOR MACHINE-TOOLS, PART-2 - A REAL-TIMEQUINTIC SPLINE INTERPOLATOR, Journal of manufacturing science and engineering, 120(2), 1998, pp. 425-432
In Part 2 of this two-part paper, we describe a new quintic spline int
erpolator for real time trajectory generation during free form curve m
achining on the Open Architecture machine tool platform described in P
art I. The research provides new capabilities for advanced CAD/CAM sys
tems. Complicated curves and shapes designed in a CAD system are usual
ly represented by a set of discrete data points. Subsequently, for man
ufacturing by a CAM system, these data points need to be converted int
o tool paths for machining. Therefore, the paper presents a new interp
olation method that interpolates the designated data points with a qui
ntic spline curve for real-time tool path generation. The resultant cu
rve, generated by the proposed interpolation method, is nearly arc-len
gth parametrized and has C-3 continuity. The near arc-length parametri
zation property makes the real time generation of the reference comman
ds of the cutting tool path easier. The C-3 continuity guarantees the
smooth motion of continuous speed, acceleration and even jerk during t
he machining. The combined properties of this new interpolation method
enable a new quintic spline interpolator to be developed for real tim
e tool path generation.