Scale-space theory: A framework for handling image structures at multiple scales

Tony Lindeberg

In: Proc. CERN School of Computing, Egmond aan Zee, The Netherlands, Sep. 8--21, 1996.

Also mirrored in R. B. Fisher (ed.) CVonline: The Evolving, Distributed, Non-Proprietary, On-Line Compendium of Computer Vision, Univ. of Edinburgh, U.K.

Abstract

This article gives a tutorial overview of essential components of scale-space theory --- a framework for multi-scale signal representation, which has been developed by the computer vision community to analyse and interpret real-world images by automatic methods.

Complete manuscript in html format: (CSC'96)

PDF: (2.0 Mb)

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Related material of review character:

• T. Lindeberg (2008): ``Scale-space'', In: Encyclopedia of Computer Science and Engineering (Benjamin Wah, ed), John Wiley and Sons, Volume~IV, pages 2495--2504, Hoboken, New Jersey, Jan 2009. dx.doi.org/10.1002/9780470050118.ecse609 (Sep 2008) (PDF 1.2 Mb) (Comprehensive overview of scale-space representation, scale-space features and scale invariance)

• T. Lindeberg (1994): ``Scale-space theory: A basic tool for analysing structures at different scales'', J. of Applied Statistics, 21(2), pp. 224--270. (Supplement on Advances in Applied Statistics: Statistics and Images: 2). (PostScript 49 pages/1.4Mb) (PDF 933 kb) (Overview of basic of basic components in early scale-space theory)

• T. Lindeberg (1999): `` Principles for automatic scale selection'', Technical report ISRN KTH NA/P--98/14--SE. Revised version in: B. J"ahne (et al., eds.), Handbook on Computer Vision and Applications, volume 2, pp 239--274, Academic Press, Boston, USA. (PDF 2.3 Mb) (Longer overview of methods for automatic scale selection, including different types of scale-adaptive and scale-invariant feature detectors)

• T. Lindeberg (1999): "Automatic scale selection as a pre-processing stage for interpreting the visual world", Proc. Fundamental Structural Properties in Image and Pattern Analysis FSPIPA'99, Budapest, Hungary, September 6-7, 1999. Schriftenreihen der "Osterreichischen Computer Gesellschaft, volume 130, pp 9--23. (PDF 2.9 Mb)

• T. Lindeberg and B. ter Haar Romeny (1994): ``Linear scale-space: (I) Basic theory and (II) Early visual operations.'' In: B. teer Haar Romeny (ed.) Geometry-Driven Diffusion, pp. 1-77, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994. (PostScript 83 pages/1.7Mb) (PDF 1.1Mb)

• T. Lindeberg (1994): Scale-Space Theory in Computer Vision, Kluwer Academic Publishers, Dordrecht, Netherlands. Now published by Springer. (Monograph on scale-space theory)

• Publications on scale-space theory and applications thereof at the author's home page

• Encyclopedia entry on scale-space theory in Encyclopedia of Mathematics (Local copy)