Retrieval Method for 3D Object Group Based on V-system

Based on the V-system, an orthogonal function system over triangular domain, we proposed a retrieval method for 3D model group consisting of several separate parts. The V-system is an efficient tool to precisely represent either continuous or separate geometric objects, which is its striking characteristic. The V-system can transform a 3D object to the frequency domain based on its triangular mesh, and generate related eigenvector which is invariant to rotation, translation, and scaling. With the V-system, we can successfully extend the orthogonal transformation methods widely used in 2D image retrieval to 3D model retrieval. Retrieval experimental results show that the proposed approach is practical and effective; and it has distinct advantage for model group retrieval. Comparing with the existed 3D model retrieval measures which can only be used to retrieve single model, this new approach can be used to retrieve a model group consisting of several separate parts, which is significant and has important application value in the reuse of model groups.