1 The Maersk Mc-Kinney Moller Institute, Faculty of Engineering, SDU2 Faculty of Engineering, SDU3 SDU Robotics, The Maersk Mc-Kinney Moller Institute, Faculty of Engineering, SDU4 unknown5 The Maersk Mc-Kinney Moller Institute, Faculty of Engineering, SDU
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.
Image and Vision Computing, 2009, Vol 27, p. 628-636