Abstract: A new method of identification and reconstruction of motion-generated curves based on distance function is proposed. The type of curve is identified through analyzing the characteristic of linear space formed by differential motions unrelated with distance function, and thereby the initial values of related parameters are calculated. The control point of B spline curve is taken as the control factor of surface shape. Based on the differential properties, Levenberg-Marquardt algorithm is employed for fine regulating of spatial pose and shape of the curve to be reconstructed. The method can automatically identify the types of simple curve and motion-generated curve and reconstruct the characteristic of curves. The results of simulation test of identification and reconstruction of rotary curve and helical surface show that the method has very high precision.

Key words: Distance function, Point cloud data, Surface identification, Surface reconstruction