Mark Last

In this paper, we present a new approach to measuring the similarity between 3D-curves. Our approach allows the possibility of using strings, where each element is a vector rather than just a symbol. We present two different approaches for representing 3D-curves. One possibility is to represent a 3D-curve as two 2D-curves, one being the projection of the 3D-curve in the XY-plane, and the other one in the YZ-plane. For the case that we need geometric rotation invariance, we have used a second approach to the symbolic representation of the 3D-curve using the curvature and the tension as their symbolic representation. We validate this approach through experiments using synthetic and digitalized data.