A heretofore unsolved problem of great archaeological importance is the automatic assembly of fragments of cultural relic from the hundreds(or thousands)of sherds found at an excavation site.This paper presents a novel method for searching for similar fragments of 3D curves.In this method

a Hash vector(a vector of real numbers) is associated with each fixed-length fragments of 3D sherds.Each vector consists of low frequence components of Fourier-Like spectrum for the distance between profile curve and the centroid.Then we can analyze the similarity between fragments by evaluating the difference between Hash vectors.The novel aspect of the method is that the following property is proved theoretically:if the distance between two fragments of curve is small

then the distance between the Hash vectors is small.