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3D Similarity search by shape approximation

  • Spatial Similarities
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Advances in Spatial Databases (SSD 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1262))

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Abstract

This paper presents a new method for similarity retrieval of 3D surface segments in spatial database systems as used in molecular biology, medical imaging, or CAD. We propose a similarity criterion and algorithm for 3D surface segments which is based on the approximation of segments by using multi-parametric functions. The method can be adjusted to individual requirements of specific applications by choosing appropriate surface functions as approximation models. For an efficient evaluation of similarity queries, we developed a filter function which supports fast searching based on spatial index structures and guarantees no false drops. The evaluation of the filter function requires a new query type with multidimensional ellipsoids as query regions. We present an algorithm to efficiently perform ellipsoid queries on the class of spatial index structures that manage their directory by rectilinear hyperrectangles, such as R-trees or X-trees. Our experiments show both, effectiveness as well as efficiency of our method using a sample application from molecular biology.

This research was funded by the German Ministry for Education, Science, Research and Technology (BMBF) under grant no. 01 IB 307 B. The authors are responsible for the content of this paper.

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Authors and Affiliations

  1. Institute for Computer Science, University of Munich, Oettingenstr. 67, D-80538, München, Germany

    Hans-Peter Kriegel, Thomas Schmidt & Thomas Seidl

Authors
  1. Hans-Peter Kriegel
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  2. Thomas Schmidt
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  3. Thomas Seidl
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Michel Scholl Agnès Voisard

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© 1997 Springer-Verlag Berlin Heidelberg

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Kriegel, HP., Schmidt, T., Seidl, T. (1997). 3D Similarity search by shape approximation. In: Scholl, M., Voisard, A. (eds) Advances in Spatial Databases. SSD 1997. Lecture Notes in Computer Science, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63238-7_22

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  • DOI: https://doi.org/10.1007/3-540-63238-7_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63238-2

  • Online ISBN: 978-3-540-69240-9

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