Efficient 3D shape matching and retrieval using a concrete radialized spherical projection representation

  • Authors:

  • Panagiotis Papadakis;Ioannis Pratikakis;Stavros Perantonis;Theoharis Theoharis

  • Affiliations:

  • Computational Intelligence Laboratory, Institute of Informatics and Telecommunications, National Center for Scientific Research "Demokritos", 15310 Agia Paraskevi, Greece and Computer Graphics Gro ...;Computational Intelligence Laboratory, Institute of Informatics and Telecommunications, National Center for Scientific Research "Demokritos", 15310 Agia Paraskevi, Greece;Computational Intelligence Laboratory, Institute of Informatics and Telecommunications, National Center for Scientific Research "Demokritos", 15310 Agia Paraskevi, Greece;Computer Graphics Group, Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784 Panepistimiopolis, Athens, Greece

  • Venue:
  • Pattern Recognition
  • Year:
  • 2007

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Abstract

We present a 3D shape retrieval methodology based on the theory of spherical harmonics. Using properties of spherical harmonics, scaling and axial flipping invariance is achieved. Rotation normalization is performed by employing the continuous principal component analysis along with a novel approach which applies PCA on the face normals of the model. The 3D model is decomposed into a set of spherical functions which represents not only the intersections of the corresponding surface with rays emanating from the origin but also points in the direction of each ray which are closer to the origin than the furthest intersection point. The superior performance of the proposed methodology is demonstrated through a comparison against state-of-the-art approaches on standard databases.