Subimage sensitive eigenvalue spectra for image comparison: Can one hear what’s painted on a drum?

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Benjamin Berger
  • Alexander Vais
  • Franz Erich Wolter
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Details

Original languageEnglish
Pages (from-to)205-221
Number of pages17
JournalVisual Computer
Volume31
Issue number2
Early online date4 Nov 2014
Publication statusPublished - Feb 2015

Abstract

This publication is a contribution to basic research in image comparison using eigenvalue spectra as features. The differential-geometric approach of eigenvalue spectrum-based descriptors is naturally applicable to shape data, but so far little work has been done to transfer it to the setting of image data painted on a rectangle or general curved surface. We present a new semi-global feature descriptor that also contains information about geometry of shapes visible in the image. This may not only improve the performance of the resulting distance measures, but may even enable us to approach the partial matching problem using eigenvalue spectra, which were previously only considered as global feature descriptors. We introduce some concepts that are useful in designing and understanding the behaviour of similar fingerprinting algorithms for images (and surfaces) and discuss some preliminary results.

Keywords

    Eigenvalue, Fingerprint, Image comparison, Image retrieval, Laplace, Partial matching, Perturbation theory

ASJC Scopus subject areas

Cite this

Subimage sensitive eigenvalue spectra for image comparison: Can one hear what’s painted on a drum? / Berger, Benjamin; Vais, Alexander; Wolter, Franz Erich.
In: Visual Computer, Vol. 31, No. 2, 02.2015, p. 205-221.

Research output: Contribution to journalArticleResearchpeer review

Berger B, Vais A, Wolter FE. Subimage sensitive eigenvalue spectra for image comparison: Can one hear what’s painted on a drum? Visual Computer. 2015 Feb;31(2):205-221. Epub 2014 Nov 4. doi: 10.1007/s00371-014-1038-y
Berger, Benjamin ; Vais, Alexander ; Wolter, Franz Erich. / Subimage sensitive eigenvalue spectra for image comparison : Can one hear what’s painted on a drum?. In: Visual Computer. 2015 ; Vol. 31, No. 2. pp. 205-221.
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