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NUOF曲線： NUOF曲線是一種參數化的曲線﹐由NUOF Series構成，因其
基礎函數是三角函數﹐故曲線的行為很容易為使用者掌握﹐如﹐曲線的斜
率﹐加速度（斜率的斜率）等﹐此外﹐NUOF曲線的使用彈性相當大﹐可以
做fitting也可以LS optimization在不同場合更可調整適當的頻率參數，
此外，NUOF曲線還可以作為CAD/ CAM與工具機的共同曲線模型﹐藉著曲線
參數的傳遞，便可完全正確的傳遞路徑資訊，不需中界碼(例，G code)，
也沒有解譯的困擾。即時速度法路徑同動控制： 速度法路徑控制的主要
貢獻在將運動控制的"控制點"從傳統的"位置"換成"時間"﹐在路徑加速度
不是很大的條件下﹐速度法可以有較少的時間控制點﹐故而可以大量降低
控制的付出，因此降低了硬體的費用﹐如﹐pulse generation card,
positioning control card等。
NUOF Curve : The NUOF curve is a kind of parametric curve,
constructedwith NUOF series. For the reason that the base
functionsare periodic tri-angular functions, the curve can
easilybe computed and known by users. By the way, NUOF curvesown
great flexibility that both curve fitting and Least-square
optimal may be used and ,depending on one''s applica-tion ,
frequency parameters are able to adaptively tuned to gain extra-
benefits.The NUOF Curves can also be used as a common math model
be-tween Cad/Cam*s curve and multi-axis machine*s trajectory. By
passing of NUOF parameters, all information were transported
comple-tely and correctly. No inter-media codes ,such as G-code
, are needed, nor code-translating problem occurs.Real-time
Velocity-tuning Trajectory Control: The contribution of this
control algorithm is to replace control points of traditionally
"position" by "time". Under the constraint that the tra-jectory
acceleration is bellow some value , this algorithm can drama-
tically reduce the number of control points. It means that large
control effort is saved , so is the hardware cost, such as pulse
generation card, positioning control card ... etc.
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