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Scalable 3D shape retrieval using local features and the signature quadratic form distance

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Abstract

We present a scalable and unsupervised approach for content-based retrieval on 3D model collections. Our goal is to represent a 3D shape as a set of discriminative local features, which is important to maintain robustness against deformations such as non-rigid transformations and partial data. However, this representation brings up the problem on how to compare two 3D models represented by feature sets. For solving this problem, we apply the signature quadratic form distance (SQFD), which is suitable for comparing feature sets. Using SQFD, the matching between two 3D objects involves only their representations, so it is easy to add new models to the collection. A key characteristic of the feature signatures, required by the SQFD, is that the final object representation can be easily obtained in a unsupervised manner. Additionally, as the SQFD is an expensive distance function, to make the system scalable we present a novel technique to reduce the amount of features by detecting clusters of key points on a 3D model. Thus, with smaller feature sets, the distance calculation is more efficient. Our experiments on a large-scale dataset show that our proposed matching algorithm not only performs efficiently, but also its effectiveness is better than state-of-the-art matching algorithms for 3D models.

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Acknowledgments

This work has been partially supported by Programa Nacional de Innovación para la Competitividad y Productividad, INNOVATE Perú, Grant Nr. 280-PNICP-BRI-2015. This work has been also supported by Charles University projects P46 and SVV-2016-260331. Benjamin Bustos has been funded by FONDECYT (Chile) Project 1140783 and the Millennium Nucleus Center for Semantic Web Research, Grant Nr. NC120004.

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Authors and Affiliations

  1. Sección Ingeniería Informática, Pontificia Universidad Católica del Perú PUCP, Lima, Peru

    Ivan Sipiran

  2. SIRET Research Group, Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic

    Jakub Lokoc̆ & Tomás̆ Skopal

  3. Department of Computer Science, University of Chile, Santiago, Chile

    Benjamin Bustos

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  1. Ivan Sipiran
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  2. Jakub Lokoc̆
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  3. Benjamin Bustos
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  4. Tomás̆ Skopal
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Correspondence to Ivan Sipiran.

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Sipiran, I., Lokoc̆, J., Bustos, B. et al. Scalable 3D shape retrieval using local features and the signature quadratic form distance. Vis Comput 33, 1571–1585 (2017). https://doi.org/10.1007/s00371-016-1301-5

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