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Angular Accuracy of Steerable Feature Detectors [article]

Zsuzsanna Püspöki, Arash Amini, Julien Fageot, John Paul Ward, Michael Unser
2017 arXiv   pre-print
We define a mechanism for selecting optimal subspaces of the span of the detectors. These are characterized by the most relevant angular frequencies.  ...  As an extension, we also consider steerable wavelet detectors.  ...  The authors are not aware of any previous studies that thoroughly address the angular accuracy of steerable feature detectors.  ... 
arXiv:1710.03631v1 fatcat:teezxodmprfutn2kyango6ouaq

Performance Analysis of Oriented Feature Detectors

F.J. Ayres, R.M. Rangayyan
2005 XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)  
Several oriented feature detectors have been developed; some of the important families of oriented feature detectors are steerable filters and Gabor filters.  ...  It is shown that the Gabor filters yield the best detection performance and angular accuracy, whereas the steerable filters have the best performance in terms of computational speed.  ...  Acknowledgments This work was supported by the Natural Sciences and Engineering Research Council of Canada.  ... 
doi:10.1109/sibgrapi.2005.38 dblp:conf/sibgrapi/AyresR05 fatcat:v6ahwpvgpjhktpnf4znqjra5wu

Rotation-covariant visual concept detection using steerable Riesz wavelets and bags of visual words

Adrien Depeursinge, Antonio Foncubierta, Henning Müller, Dimitri Van de Ville, Dimitri Van De Ville, Vivek K. Goyal, Manos Papadakis
2013 Wavelets and Sparsity XV  
The importance of rotation-covariant visual concept modeling is highlighted by allowing an absolute gain of more than 30% in accuracy.  ...  The texture classes are learned in the feature space composed of the concatenation of the maximum responses of each visual concept using support vector machines.  ...  Acknowledgments This work was supported by the CIBM, the Swiss National Science Foundation (under grants 205320-141300/1, PBGEP2 142283 and PP00P2-123438), and the EU 7th Framework Program in the context of  ... 
doi:10.1117/12.2023806 fatcat:tpglxhzsyzcnbmdc6zehdqqq4m

On the Realization and Analysis of Circular Harmonic Transforms for Feature Detection [article]

Hugh L Kennedy
2020 arXiv   pre-print
Circular-harmonic spectra are a compact representation of local image features in two dimensions.  ...  It is well known that the computational complexity of such transforms is greatly reduced when polar separability is exploited in steerable filter-banks.  ...  The vector of complex coefficients used in the linear combination (i.e. the angular spectrum) is a compact feature descriptor.  ... 
arXiv:1907.12165v4 fatcat:mpwdcsqtfjgu5jpbugidtjdzku

Rotation Invariant Networks for Image Classification for HPC and Embedded Systems

Rosemberg Rodriguez Rodriguez Salas, Petr Dokladal, Eva Dokladalova
2021 Electronics  
We present results obtained using a Gabor-filter bank and a ResNet feature backbone compared to previous other solutions.  ...  One possible way to achieve model reduction is the usage of Rotation-invariant Convolutional Neural Networks because of the possibility of avoiding data augmentation techniques.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/electronics10020139 fatcat:dxzee3qjcfbvzkh3nteujv7yc4

Principled Design and Implementation of Steerable Detectors [article]

Julien Fageot, Virginie Uhlmann, Zsuzsanna Püspöki, Benjamin Beck, Michael Unser, Adrien Depeursinge
2021 arXiv   pre-print
The proposed scheme outperforms state-of-the-art steerable methods by up to 50% of absolute detection performance.  ...  In addition, we constrain our filter to be steerable, which allows for a fast template detection together with orientation estimation.  ...  Finally, the authors are sincerely grateful to Thierry Blu and Tianle Zhao for sharing their implementation of Fourier-Argand steerable filters, allowing us to perform fair comparative experiments.  ... 
arXiv:1811.00863v2 fatcat:j23jdyfzavftbgbg5ppc2pwzpe

New Families of Fourier Eigenfunctions for Steerable Filtering

Giuseppe Papari, Patrizio Campisi, Nicolai Petkov
2012 IEEE Transactions on Image Processing  
Fig. 11 . 11 Quantitative performance evaluation of the proposed edge detector.  ...  accuracy.  ...  He is a Professor of computer science and the Head of the Research Institute of Mathematics and Computing Science, University of Groningen, Groningen, The Netherlands.  ... 
doi:10.1109/tip.2011.2179060 pmid:22167631 fatcat:i5u6fdcwd5dljeiwp7xnbwmkdm

Analysis of Oriented Texture with Applications to the Detection of Architectural Distortion in Mammograms

Fábio J. Ayres, Rangaraj M. Rangayyan, J. E. Leo Desautels
2010 Synthesis Lectures on Biomedical Engineering  
In the context of the study of oriented features, low-level analysis includes the detection of oriented features in images; a measure of the local magnitude and orientation of oriented features over the  ...  This book presents an analysis of several important methods for the detection of oriented features in images, and a discussion of the phase portrait method for high-level analysis of orientation fields  ...  ANGULAR ACCURACY The angular precision of the oriented feature detectors is illustrated in Figure 1 .10.  ... 
doi:10.2200/s00301ed1v01y201010bme038 fatcat:acm7pqcz35gydnyisqbadop7my

Steerable diffraction limited line illumination system using deformable mirror

Koichi Taniguchi, Dae Wook Kim, Kei Shimura, James H. Burge, Andrew Forbes, Todd E. Lizotte
2013 Laser Beam Shaping XIV  
A steerable DLLI system with three degrees of freedom (i.e. axial displacement, rotation, and tilt) is developed using an adaptive optics system.  ...  By electronically controlling the Zernike based surface shapes of the deformable mirror, the DLLI in free space is actively positioned and oriented with high accuracy.  ...  range) ALPAO TM Wavefront sensor Shack-Hartmann with 37 by 28 lenslet array (6μrad angular sensitivity) OPTOCRAFT TM Detector CMOS with 2592 by 1944 pixels (2.2μm pixel width) Lumenera  ... 
doi:10.1117/12.2023431 fatcat:zd47ltxndva7rgddg3c5pjxhee

Edge Detection using Directional Filter Bank

S. Anand, T. Thivya, S. Jeeva
2012 International Journal of Applied Information Systems  
Finally, to evaluate edge detector performance the sensitivity, specificity, accuracy and Figure of merit 'F' parameters are used to compare with classical methods and the proposed approach provides better  ...  The steerable and scaled DFB has been presented to obtain directional along with scaled information.  ...  edge detectors and also the sensitivity is also low and the specificity is high compared to other classical edge detectors hence providing better performance in terms of accuracy.  ... 
doi:10.5120/ijais12-450162 fatcat:casmvef7djfhfj5kj2y4aictii

Rotation–Covariant Texture Learning Using Steerable Riesz Wavelets

Adrien Depeursinge, Antonio Foncubierta-Rodriguez, Dimitri Van de Ville, Henning Muller
2014 IEEE Transactions on Image Processing  
Rapid convergence of class-wise signatures is observed, which demonstrates that the instances are projected into a feature space that leverages the local organizations of scales and directions.  ...  Second, the local orientations of the signatures are optimized to maximize their responses, which is carried out analytically and can still be expressed as a linear combination of the initial steerable  ...  ., the steerable pyramid [18] , [50] ) enabling multiscale and multi-orientation analysis with infinitesimal angular precision.  ... 
doi:10.1109/tip.2013.2295755 pmid:26270926 fatcat:o5n3awk2szeghehomcde2o6t2i

Super-resolution orientation estimation and localization of fluorescent dipoles using 3-D steerable filters

Francois Aguet, Stefan Geissbühler, Iwan Märki, Theo Lasser, Michael Unser
2009 Optics Express  
We establish theoretical, localization-based resolution limits on estimation accuracy using Cramér-Rao bounds, and experimentally show that estimation accuracies of at least 5 nm for position and of at  ...  We introduce a method for the joint estimation of position and orientation of dipoles, based on the representation of a physically realistic image formation model as a 3-D steerable filter.  ...  angular aperture of the objective (i.e., α = sin −1 (NA/n i )).  ... 
doi:10.1364/oe.17.006829 pmid:19365511 fatcat:4escco5dtnahzflralk3mjwcva

Doubly-Rotated Matched Filtering

Matthias Mühlich, Thorsten Dahmen, T. Aach
2007 Zenodo  
Publication in the conference proceedings of EUSIPCO, Poznan, Poland, 2007  ...  features by single-steerable filters.  ...  2, we created a steerable edge filter by expanding the ideal edge h ideal edge (x) = sign (y) into an truncated angular Fourier series, thus achieving steerability at the expense of approximation.  ... 
doi:10.5281/zenodo.40649 fatcat:udtcstlpkbdtbmokdpid3rtb6a

Combinations of Feature Descriptors for Texture Image Classification

Alexander Barley, Christopher Town
2014 Journal of Data Analysis and Information Processing  
A key stage in performing this task is feature extraction, which identifies sets of features that describe the visual texture of an image.  ...  We demonstrate that using a combination of features improves reliability over using a single feature type when multiple datasets are to be classified.  ...  The texture descriptors were analysed using a variety of machine learning techniques to perform classification, and the classification accuracies of the systems were examined.  ... 
doi:10.4236/jdaip.2014.23009 fatcat:t7d57lbmmffxhjepby3dc65axu

Approximate Steerability of Gabor Filters for Feature Detection [chapter]

I. Kalliomäki, J. Lampinen
2005 Lecture Notes in Computer Science  
We show how a rotation invariant feature similarity measure can be obtained using steerability.  ...  We derive optimal steering coefficients for Gabor filters and evaluate the accuracy of the approximative orientation steering numerically.  ...  The steerability property of the feature detectors facilitates strong rotational invariance, as orientation estimates can be computed from the filter responses.  ... 
doi:10.1007/11499145_95 fatcat:bmonyw7wkrbxtjqtyam2vz7fw4
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