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2013 IEEE Conference on Computer Vision and Pattern Recognition (2004)
Washington, D.C., USA
June 27, 2004 to July 2, 2004
ISSN: 1063-6919
ISBN: 0-7695-2158-4
pp: 594-601
Dorin Comaniciu , Siemens Corporate Research, Inc.
Arun Krishnan , Siemens Medical Solutions USA, Inc.
Kazunori Okada , Siemens Corporate Research, Inc.
A unified approach for treating the scale selection problem in the anisotropic scale-space is proposed. The anisotropic scale-space is a generalization of the classical isotropic Gaussian scale-space by considering the Gaussian kernel with a fully parameterized analysis scale (bandwidth) matrix. The "maximum-over-scales" and the "most-stable-over-scales" criteria are constructed by employing the "l-normalized scale-space derivatives", i.e., response-normalized derivatives in the anisotropic scale-space. This extension allows us to directly analyze the anisotropic (ellipsoidal) shape of local structures. The main conclusions are (i) the norm of the \gamma - and L-normalized anisotropic scale-space derivatives with a constant \gamma =1/2 are maximized regardless of the signal?s dimension if the analysis scale matrix is equal to the signal?s covariance and (ii) the most-stable-over-scales criterion with the isotropic scale-space outperforms the maximum-over-scales criterion in the presence of noise. Experiments with 1D and 2D synthetic data confirm the above findings. 3D implementations of the most-stable-over-scales methods are applied to the problem of estimating anisotropic spreads of pulmonary tumors shown in high-resolution computed-tomography (HRCT) images. Comparison of the first- and second-order methods shows the advantage of exploiting the second-order information.
Dorin Comaniciu, Arun Krishnan, Kazunori Okada, "Scale Selection for Anisotropic Scale-Space: Application to Volumetric Tumor Characterization", 2013 IEEE Conference on Computer Vision and Pattern Recognition, vol. 01, no. , pp. 594-601, 2004, doi:10.1109/CVPR.2004.217
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