Substructure Clustering on Sequential 3d Object Datasets

  • Authors:
  • Zhenqiang Tan;Anthony K. H. Tung

  • Affiliations:
  • -;-

  • Venue:
  • ICDE '04 Proceedings of the 20th International Conference on Data Engineering
  • Year:
  • 2004

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Abstract

In this paper, we will look at substructure clustering ofsequentail 3d objects.A sequential 3d object is a set ofpoints located in a three dimensional space that are linkedup to form a sequence.Given a set of sequential 3d objects,our aim is to find significantly large substructures whichare present in many of the sequential 3d objects.Unliketraditional subspace clustering methods in which objectsare compared based on values in the same dimension, thematching dimensions between two 3d sequential objects areaffected by both the translation and rotation of the objectsand are thus not well defined.Instead, similarity betweenthe objects are judge by computing a structural distancemeasurement call rmsd(Root Mean Square Distance)which require proper alignment (including translation androtation) of the objects.As the computation of rmsd isexpensive, we proposed a new measure call ald(AngelLength Distance) which is shown experimentally to approximatermsd.Based on ald, we define a new clusteringmodel called sCluster and devise an algorithm for discoveringall maximum sCluster in a 3d sequentail dataset.Experiments are conducted to illustrate the efficiency andeffectiveness of our algorithm.