In this paper, we present an approach to incorporating partial geometric information into a local feature-based The distance-supported shape index is proposed for the representation to improve its ability to discriminate objects. recognition of three-dimensional (3-D) free-form objects. There have been efforts for encoding distance information It is constructed by incorporating extra global information from a designated origin to local features such as surface into the locally computed shape index (SI) [4,5]. The extra normals [8,9]. The novel aspect of our approach is that information is the distance to the local region from: (I) the two different types of distance information are applied object's center of mass and (2) the major axis of object depending on the object elongation. One is the radial elongation. The major axis is defined as the eigenvector distance to a local region from a designated origin and the corresponding to the largest eigenvalue of the covariance other is t...