Pattern Analysis and Applications

, Volume 16, Issue 4, pp 637–646 | Cite as

A new radial symmetry measure applied to photogrammetry

  • Raquel DosilEmail author
  • Xosé M. Pardo
  • Xosé R. Fdez-Vidal
  • Antón García-Díaz
  • Víctor Leborán
Industrial and Commercial Application


This work presents a new measure for radial symmetry and an algorithm for its computation. This measure identifies radially symmetric blobs as locations with contributions from all orientations at some scale. Hence, at a given scale, radial symmetry is computed as the product of the responses of a set of even symmetric feature detectors, with different orientations. This operator presents low sensitivity to shapes lacking radial symmetry, is robust to noise, contrast changes and strong perspective distortions, and shows a narrow point spread function. A multi-resolution measure is provided, computed as the maximum of the symmetry measure evaluated over a set of scales. We have applied this measure in the field of photogrammetry for the detection of circular coded fiducial targets. The detection of local maxima of multi-resolution radial symmetry is combined with a step of false-positive rejection, based on elliptical model fitting. In our experiments, the efficiency of target detection with this method is improved regarding a well-known commercial system, which is expected to improve the performance of bundle adjustment techniques. In order to fulfill all steps previous to bundle adjustment, we have also developed our own method for recognition of coded targets. This is accomplished by a standard procedure of segmentation and decoding of the ring sequence. Nevertheless, we have included a step for the verification of false positives of decoding based on correlation with reference targets. As far as we know, this approach cannot be found in literature.


Circular coded targets Radial symmetry Filter banks Log Gabor Target identification Correlation 



This work has been developed in the framework of the projects Alexandria (Ref. PSE-020000-2009-10) and DICON (Ref: IPT-2011-1191-020000), funded by the Spanish Ministerio de Ciencia e Innovación, under the programs Proyectos Singulares Estratégicos and INNPACTO respectively. We also acknowledge the Laboratorio Oficial de Metroloxía de Galicia for providing test images and ground truth data.


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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  • Raquel Dosil
    • 1
    • 2
    Email author
  • Xosé M. Pardo
    • 1
  • Xosé R. Fdez-Vidal
    • 1
  • Antón García-Díaz
    • 1
  • Víctor Leborán
    • 1
  1. 1.Centro de Investigación en Tecnoloxías da Información (CITIUS)Universidade de Santiago de CompostelaSantiago de CompostelaSpain
  2. 2.Multimodal Information AreaGalician Research and Development Center in Advanced Telecommunications (GRADIANT)VigoSpain

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