3D model retrieval with spherical harmonics and moments

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2001
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Vranic, Dejan V.
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Pattern Recognition / Radig, Bernd; Florczyk, Stefan (Hrsg.). - Berlin, Heidelberg : Springer Berlin Heidelberg, 2001. - (Lecture Notes in Computer Science ; 2191). - S. 392-397. - ISBN 978-3-540-42596-0
Zusammenfassung
We consider 3D object retrieval in which a polygonal mesh serves as a query and similar objects are retrieved from a collection of 3D objects. Algorithms proceed first by a normalization step in which models are transformed into canonical coordinates. Second, feature vectors are extracted and compared with those derived from normalized models in the search space. In the feature vector space nearest neighbors are computed and ranked. Retrieved objects are displayed for inspection, selection, and processing. Our feature vectors are based on rays cast from the center of mass of the object. For each ray the object extent in the ray direction yields a sample of a function on the sphere. We compared two kinds of representations of this function, namely spherical harmonics and moments. Our empirical comparison using precision-recall diagrams for retrieval results in a data base of 3D models showed that the method using spherical harmonics performed better.
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ISO 690SAUPE, Dietmar, Dejan V. VRANIC, 2001. 3D model retrieval with spherical harmonics and moments. In: RADIG, Bernd, ed., Stefan FLORCZYK, ed.. Pattern Recognition. Berlin, Heidelberg:Springer Berlin Heidelberg, pp. 392-397. ISBN 978-3-540-42596-0. Available under: doi: 10.1007/3-540-45404-7_52
BibTex
@inproceedings{Saupe2001-12-18model-23147,
  year={2001},
  doi={10.1007/3-540-45404-7_52},
  title={3D model retrieval with spherical harmonics and moments},
  number={2191},
  isbn={978-3-540-42596-0},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  series={Lecture Notes in Computer Science},
  booktitle={Pattern Recognition},
  pages={392--397},
  editor={Radig, Bernd and Florczyk, Stefan},
  author={Saupe, Dietmar and Vranic, Dejan V.}
}
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