The new curve is through the control points, the shape of this curve is loud changed along with control points moving and need not reverse calculating, so the shape of curve charge quickly along with control points moving and can satisfy the precision.

The importance of characteristic curves in product design is discussed, traditional methods to adjust NURBS curve s shape is studied, and a new way to modify NURBS curve s shape by changing the control points distribution is put forward.

How to get control vertexes when offsets are given is discussed.

Unilingual algorithm is based on analyzing how multiple data points affect control vertexes.

And the algorithm of control vertex is give to solve the inverse problem of quadric NURBS surface.

NURBS approximation of hull waterline based on reduced control points number with adaptive genetic algorithm;

The presented method has the following three characteristics:(1) the control points can be calculated by the explicit representation;(2) the merging can be done directly no matter whether the degrees of two adjacent original Said-Ball curves are equal or not;(3) the merged curve with a highe.

The principle is illuminated that altering the shapes of NURBES curves via changing their weights while control points keep unchanged.

Dynamic disturbance control methods for variable speed constant frequency doubly-fed induction wind generators