Proceedings chapter
Open access

Projective and illumination invariant representation of disjoint shapes

Published inProceedings of the Fifth European Conference on Computer Vision, ECCV 98, Editors H. Burkhardt and B. Neumann, p. 264-280
Presented at Freiburg (Germany)
  • Lecture Notes in Computer Science; 1406
Publication date1998

We describe a new projectively invariant representation of disjoint contour groups which is suitable for shape-based retrieval from an image database. It consists of simultaneous polar reparametrization of multiple curves where an invariant point is used as the origin. For each ray orientation, a cross-ratio of its intersections with other curves is taken as a value associated to the radius. With respect to other methods this representation is less reliant on single curve properties, both for the construction of the projective basis and for calculating the signature. It is therefore more robust to contour gaps and image noise and is better suited to describing complex planar shapes defined by multiple disjoint curves. The proposed representation has been originally developed for planar shapes, but an extension is proposed and validated for 3D faceted objects. Moreover, we show that illumination invariance fits well within the proposed framework and can easily be introduced in the representation in order to make it more appropriate for shape-based retrieval. Experiments are reported on a database of real trademarks.

  • Image Processing and Computer Vision
  • Computer Graphics
  • Pattern Recognition
  • Artificial Intelligence (incl. Robotics)
Citation (ISO format)
STARTCHIK, Sergei, MILANESE, Ruggero, PUN, Thierry. Projective and illumination invariant representation of disjoint shapes. In: Proceedings of the Fifth European Conference on Computer Vision, ECCV 98. Freiburg (Germany). [s.l.] : Springer, 1998. p. 264–280. (Lecture Notes in Computer Science) doi: 10.1007/BFb0055672
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