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Scale-Space Behaviour and Invariance Properties of Differential Singularities
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB.ORCID iD: 0000-0002-9081-2170
1992 (English)In: Shape inPicture: Mathematical Description of Shape in Grey-Level Images: Proc. of Workshop in Driebergen, Netherlands, Sep. 7--11, 1992, Springer, 1992, 591-600 p.Conference paper (Refereed)
Abstract [en]

This article describes how a certain way of expressing low-level feature detectors, in terms of singularities of differential expressions defined at multiple scales in scale-space, simplifies the analysis of the effect of smoothing. It is shown how such features can be related across scales, and generally valid expressions for drift velocities are derived with examples concerning edges, junctions, Laplacean zero-crossings, and blobs. A number of invariance properties are pointed out, and a particular representation defined from such singularities, the scale-space primal sketch, is treated in more detail.

Place, publisher, year, edition, pages
Springer, 1992. 591-600 p.
, NATO ASI Series F, volume 126
Keyword [en]
scale-space, drift velocity, feature detection, primal sketch, singularity, invariance
National Category
Computer Science Computer Vision and Robotics (Autonomous Systems) Mathematics
URN: urn:nbn:se:kth:diva-58898OAI: diva2:474298
Workshop in Driebergen, Netherlands, Sep. 7-11, 1992)

QC 20130423

Available from: 2012-01-09 Created: 2012-01-09 Last updated: 2013-04-23Bibliographically approved

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