Continuous dimensionality characterization of image structures

  • Authors:
  • Michael Felsberg;Sinan Kalkan;Norbert Krüger

  • Affiliations:
  • Computer Vision Laboratory, Department of EE, Linköping University, Sweden;BCCN, University of Göttingen, Bunsenstr. 10, 37073 Göttingen, Germany;Cognitive Vision Group, University of Southern Denmark, Denmark

  • Venue:
  • Image and Vision Computing
  • Year:
  • 2009

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Abstract

Intrinsic dimensionality is a concept introduced by statistics and later used in image processing to measure the dimensionality of a data set. In this paper, we introduce a continuous representation of the intrinsic dimension of an image patch in terms of its local spectrum or, equivalently, its gradient field. By making use of a cone structure and barycentric co-ordinates, we can associate three confidences to the three different ideal cases of intrinsic dimensions corresponding to homogeneous image patches, edge-like structures and junctions. The main novelty of our approach is the representation of confidences as prior probabilities which can be used within a probabilistic framework. To show the potential of our continuous representation, we highlight applications in various contexts such as image structure classification, feature detection and localisation, visual scene statistics and optic flow evaluation.