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A Probabilistic Definition of Intrinsic Dimensionality for Images
Linköping University, Department of Electrical Engineering, Computer Vision . Linköping University, The Institute of Technology.ORCID iD: 0000-0002-6096-3648
2003 (English)In: 25. DAGM Symposium Mustererkennung, Magdeburg eds Michaelis, B. and Krell, G., 2003, Vol. 2781, 140-147 p.Conference paper (Refereed)
Abstract [en]

In this paper we address the problem of appropriately representing the intrinsic dimensionality of image neighborhoods. This dimensionality describes the degrees of freedom of a local image patch and it gives rise to some of the most often applied corner and edge detectors. It is common to categorize the intrinsic dimensionality (iD) to three distinct cases: i0D, i1D, and i2D. Real images however contain combinations of all three dimensionalities which has to be taken into account by a continuous representation. Based on considerations of the structure tensor, we derive a cone-shaped iD-space which leads to a probabilistic point of view to the estimation of intrinsic dimensionality.

Place, publisher, year, edition, pages
2003. Vol. 2781, 140-147 p.
, Lecture Notes in Computer Science, 2781
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-21681OAI: diva2:246047
Available from: 2009-10-08 Created: 2009-10-05 Last updated: 2016-05-04

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Felsberg, Michael
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