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231223s2008 xx |||||o 00| ||eng c |
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|a 10.1109/TIP.2007.914218
|2 doi
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|e rakwb
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|a eng
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| 100 |
1 |
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|a Reisert, Marco
|e verfasserin
|4 aut
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| 245 |
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|a Equivariant holomorphic filters for contour denoising and rapid object detection
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|c 2008
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Completed 11.03.2008
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|a Date Revised 13.02.2008
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|a published: Print
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|a Citation Status MEDLINE
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|a It is well known that linear filters are not powerful enough for many low-level image processing tasks. However, it is also very difficult to design robust nonlinear filters that respond exclusively to features of interest and that are, at the same time, equivariant with respect to translation and rotation. This paper proposes a new class of rotation-equivariant nonlinear filters that is based on the principle of group integration. These filters become efficiently computable by an iterative scheme based on repeated differentiation of products and summations of intermediate results. The relations of the proposed approach to Volterra filters and steerable filters are shown. In the context of detection problems, the filter may be interpreted as some kind of generalized Hough transform. The experiments show that the new filter can be used for enhancing noisy contours and rapid object detection in microscopical images. In the detection context, our experiments show that the proposed filter is definitely superior to alternative approaches, when high localization accuracy is required
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|a Journal Article
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|a Burkhardt, Hans
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 17(2008), 2 vom: 14. Feb., Seite 190-203
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|x 1941-0042
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|g volume:17
|g year:2008
|g number:2
|g day:14
|g month:02
|g pages:190-203
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|u http://dx.doi.org/10.1109/TIP.2007.914218
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