We present a geometry-based indexing approach for the retrieval of video databases. It consists of two modules: 3D object shape inferencing from video data and geometric modeling from the reconstructed shape structure. A motion-based segmentation algorithm employing feature block tracing and principal component split is used for multi-moving-object motion classification and segmentation. After segmentation, feature blocks from each individual object are used to reconstruct its motion and structure through a factorization method. The estimated shape structure and motion parameters are used to generate the implicit polynomial model for the object. The video data is retrieved using the geometric structure of objects and their spatial relationship. We generalize the 2D string to 3D to compactly encode the spatial relationship of objects.
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