2010
DOI: 10.1007/s11263-010-0340-z
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Coding Images with Local Features

Abstract: We develop a qualitative measure for the completeness and complementarity of sets of local features in terms of covering relevant image information. The idea is to interpret feature detection and description as image coding, and relate it to classical coding schemes like JPEG. Given an image, we derive a feature density from a set of local features, and measure its distance to an entropy density computed from the power spectrum of local image patches over scale. Our measure is meant to be complementary to exis… Show more

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Cited by 45 publications
(51 citation statements)
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“…To begin, we will start developing our theory for spatiotemporal scale selection with respect to the problem of detecting sparse spatio-temporal interest points [6,9,11,14,18,20,21,30,49,88,94,97,99,100,107,122,124,126,127], which may be regarded as a conceptually simplest problem domain because of the sparsity of spatio-temporal interest points and the close connection between this problem domain and the detection of spatial interest points for which there exists a theoretically well-founded and empirically tested framework regarding scale selection over the spatial domain [1,4,5,15,17,25,42,65,72,74,84,89,90,112]. Specifically, using a non-causal Gaussian spatio-temporal scale-space model, we will perform a theoretical analysis of the spatio-temporal scale selection properties of eight different types of spatiotemporal interest point detectors and show that seven of them: (i) the spatial Laplacian of the first-order temporal derivative, (ii) the spatial Laplacian of the second-order temporal derivative, (iii) the determinant of the spatial Hessian of the first-order temporal derivative, (iv) the determinant of the spatial Hessian of the second-order temporal derivative, (v) the determinant of the spatio-temporal Hessian matrix, (vi) the first-order temporal derivative of the determinant of the spatial Hessian matrix and (vii) the second-order temporal derivative of the determinant of the spatial Hessian matrix, do all lead to fully scale-covariant spatio-temporal scale estimates and scale-invariant feature responses under independent scaling transformations of the spatial and the temporal domains.…”
Section: Fig 4 the First-and Second-order Temporal Derivatives Of Thmentioning
confidence: 99%
“…To begin, we will start developing our theory for spatiotemporal scale selection with respect to the problem of detecting sparse spatio-temporal interest points [6,9,11,14,18,20,21,30,49,88,94,97,99,100,107,122,124,126,127], which may be regarded as a conceptually simplest problem domain because of the sparsity of spatio-temporal interest points and the close connection between this problem domain and the detection of spatial interest points for which there exists a theoretically well-founded and empirically tested framework regarding scale selection over the spatial domain [1,4,5,15,17,25,42,65,72,74,84,89,90,112]. Specifically, using a non-causal Gaussian spatio-temporal scale-space model, we will perform a theoretical analysis of the spatio-temporal scale selection properties of eight different types of spatiotemporal interest point detectors and show that seven of them: (i) the spatial Laplacian of the first-order temporal derivative, (ii) the spatial Laplacian of the second-order temporal derivative, (iii) the determinant of the spatial Hessian of the first-order temporal derivative, (iv) the determinant of the spatial Hessian of the second-order temporal derivative, (v) the determinant of the spatio-temporal Hessian matrix, (vi) the first-order temporal derivative of the determinant of the spatial Hessian matrix and (vii) the second-order temporal derivative of the determinant of the spatial Hessian matrix, do all lead to fully scale-covariant spatio-temporal scale estimates and scale-invariant feature responses under independent scaling transformations of the spatial and the temporal domains.…”
Section: Fig 4 the First-and Second-order Temporal Derivatives Of Thmentioning
confidence: 99%
“…For the results shown in this paper, the SIFT detector is used for newly appearing features and provides sufficiently distributed points. For sequences with very low texture content, a combination of different scale invariant feature detectors should be considered [21,22,23]. For the tracking from frame to frame, the KLT tracker provides higher accuracy and less outliers than feature matching techniques.…”
Section: Feature Detection and Trackingmentioning
confidence: 99%
“…For the results shown in this paper, the SIFT detector is used for newly appearing features and provides sufficiently distributed points. For sequences with very low texture content, a combination of different scale invariant feature detectors may be considered (Lowe, 2004;Matas et al, 2002;Dickscheid et al, 2010). For the tracking from frame to frame, the KLT tracker provides higher accuracy and less outliers than feature matching techniques.…”
Section: Feature Detection and Trackingmentioning
confidence: 99%