By the same authors

From the same journal

From the same journal

Scale space vector fields for symmetry detection

Research output: Contribution to journalArticlepeer-review



Publication details

JournalImage and Vision Computing
DatePublished - Apr 1999
Issue number5-6
Number of pages9
Pages (from-to)337-345
Original languageEnglish


This paper describes a vectorial representation that can be used to assess the symmetry of objects in 2D images. The method exploits the calculus of vector fields. Commencing from the gradient field extracted from filtered grey-scale images we construct a vector potential. Our image representation is based on the distribution of tangential gradient vectors residing on the image plane. By embedding the image plane in an augmented S-dimensional space, we compute the vector potential by performing volume integration over the distribution of edge tangents. The associated vector field is computed by taking the curl of the vector potential. The auxiliary spatial dimension provides a natural scale-space sampling of the generating edge-tangent distribution; as the height above the image plane is increased, so the volume over which averaging is effected also increases. We extract edge and symmetry lines through a topographic analysis of the vector-field at various heights above the image plane. Symmetry axes are lines of where the curl of the vector potential vanishes; at edges the divergence of the vector potential vanishes. (C) 1999 Elsevier Science B.V. All rights reserved.

Bibliographical note

International Workshop on Visual Form, CAPRI, ITALY, 1997

    Research areas

  • vector fields, symmetry detection, continuous symmetry, Canny edge-map, SKEWED SYMMETRIES, EDGE-DETECTION, OPERATORS, TRANSFORM

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