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On the Construction of Invertible Filter Banks on the 2-Sphere

B.T.T. Yeo, Wanmei Ou, P. Golland
2008 IEEE Transactions on Image Processing  
Furthermore, we present an analogue of the Papoulis generalized sampling theorem on the 2-Sphere.  ...  We use the theoretical results to establish a general framework for the design of invertible filter banks on the sphere and demonstrate the approach with examples of self-invertible spherical wavelets  ...  ACKNOWLEDGMENT The authors would like to thank M. Tappen for discussions on optimization procedures, B. Freeman and T. Adelson for discussions on self-invertibility, V.  ... 
doi:10.1109/tip.2007.915550 pmid:18270119 pmcid:PMC2800042 fatcat:l4yguzgj4nezzewcihshkir3dm

Invertible Filter Banks on the 2-Sphere

B.t. Thomas Yeo, Wanmei Ou, Polina Golland
2006 2006 International Conference on Image Processing  
This paper focuses on the self-invertibility property of filter banks, particularly desirable if images are modified in the wavelet domain.  ...  More specifically, we develop conditions for invertibility of spherical filter banks for both continuous and discrete convolution and illustrate how such conditions can be incorporated into the design  ...  We will therefore focus on developing techniques for constructing invertible filter banks for continuous convolution.  ... 
doi:10.1109/icip.2006.312872 dblp:conf/icip/YeoOG06 fatcat:h7glqazsnreurc2xtbdzir5yuq

Local Shape Representation in 3D: from Weighted Spherical Harmonics to Spherical Wavelet

Cheng-jin Du, John G. Ferguson, Philip T. Hawkins, Len R. Stephens, Till Bretschneider
2012 Procedings of the British Machine Vision Conference 2012  
In this paper, we shed light on the underlying connections between weighted SPHARM and SW.  ...  The experimental results show that SW outperforms the weighted SPHARM for local shape representation of large and complex cell images, while the weighted SPHARM is a good choice for representing small  ...  Acknowledgement This work was supported by the Biotechnology and Biological Sciences Research Council (grant number: BBI0082091).  ... 
doi:10.5244/c.26.122 dblp:conf/bmvc/DuFHSB12 fatcat:fssycuzf5je77bxwgjuc35s6ku

Shape Analysis with Overcomplete Spherical Wavelets [chapter]

B. T. Thomas Yeo, Peng Yu, P. Ellen Grant, Bruce Fischl, Polina Golland
2008 Lecture Notes in Computer Science  
In this paper, we explore the use of over-complete spherical wavelets in shape analysis of closed 2D surfaces.  ...  Previous work has demonstrated, theoretically and practically, the advantages of overcomplete over bi-orthogonal spherical wavelets.  ...  the NSF CAREER 0642971 grant, NCRR (P41-RR14075, R01 RR16594-01A1), the NIBIB (R01 EB001550, R01EB006758), the NINDS (R01 NS052585-01) and the MIND Institute.  ... 
doi:10.1007/978-3-540-85988-8_56 fatcat:ptu4sso7a5fj7kqpdkfh5rffqu

Highly sensitive size discrimination of sub-micron objects using optical Fourier processing based on two-dimensional Gabor filters

Robert M. Pasternack, Zhen Qian, Jing-Yi Zheng, Dimitris N. Metaxas, Nada N. Boustany
2009 Optics Express  
The method consists of applying an optical Fourier filter bank consisting of Gabor-like filters of varying periods and extracting the optimum filter period that maximizes the filtered object signal.  ...  Furthermore, the optimum Gabor filter period found experimentally is linearly related to sphere diameter over the range 0.46µm-1µm and does not rely on a predictive scatter model such as Mie theory.  ...  Westbrook of OFS Labs, Somerset NJ for the phase masks. This work was partially supported by Whitaker Foundation grant RG02-0682 to N. Boustany, and a Rutgers Graduate Presidential Fellowship to R.  ... 
doi:10.1364/oe.17.012001 pmid:19582115 fatcat:bckfatfdcnautgebyjppktikwq

On the construction of low-pass filters on the unit sphere

Zubair Khalid, Salman Durrani, Rodney A. Kennedy, Parastoo Sadeghi
2011 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)  
This paper considers the problem of construction of low-pass filters on the unit sphere, which has wide ranging applications in the processing of signals on the unit sphere.  ...  We illustrate the construction of low-pass filters using the proposed approach and demonstrate the advantage of our method approach compared to a diffusion based approach in the literature in terms of  ...  The theoretical conditions on the invertibility of filter banks on the sphere are investigated in [5] , but no design criterion is proposed.  ... 
doi:10.1109/icassp.2011.5947318 dblp:conf/icassp/KhalidDKS11 fatcat:o754u632j5f4zoes36szkej6v4

Cortical Folding Development Study based on Over-Complete Spherical Wavelets

Peng Yu, Boon Thye Thomas Yeo, P. Ellen Grant, Bruce Fischl, Polina Golland
2007 2007 IEEE 11th International Conference on Computer Vision  
In this paper, we demonstrate the theoretical advantage of over-complete wavelets over bi-orthogonal wavelets and illustrate their utility on both synthetic and real data.  ...  We introduce the use of over-complete spherical wavelets for shape analysis of 2D closed surfaces.  ...  -01), the NINDS (R01 NS052585-01 and R01-NS051826), NAC P41-RR13218, NSF CAREER 0642971 grant, K23 NS42758 as well as the MIND Institute, and was part of the NIH NIBIB NAMIC Grant U54-EB005149.  ... 
doi:10.1109/iccv.2007.4409137 pmid:26082677 pmcid:PMC4465965 fatcat:r43a3ncfmzflfjx56a5ewiwpza

Tight framelets and fast framelet filter bank transforms on manifolds

Yu Guang Wang, Xiaosheng Zhuang
2018 Applied and Computational Harmonic Analysis  
Explicit construction of tight framelets on the sphere S^2 as well as numerical examples are given.  ...  Tight framelets associated with framelet filter banks on M can then be easily designed and fast framelet filter bank transforms on M are shown to be realizable with nearly linear computational complexity  ...  Le Gia for their helpful comments on the paper. Some of the results in this paper have been derived using the HEALPix [30] .  ... 
doi:10.1016/j.acha.2018.02.001 fatcat:xfmue2u3tvdyvmq2mb3ymw4gza


Tin Barisin, Katja Schladitz, Claudia Redenbach, Michael Godehardt
2022 Image Analysis and Stereology  
However, this class of methods is prohibitive in 3D due to the highcomputational burden of filtering on a sufficiently fine discretization of the unit sphere.This paper introduces a method for 3D pixel-wise  ...  The idea of usingbanks of directed structuring elements or filters parameterized by a discrete subset of the orientation space isproven to be effective for these tasks in 2D.  ...  CONFLICT OF INTEREST The authors declare that they have no conflict of interest.  ... 
doi:10.5566/ias.2639 fatcat:o4b6tkq4b5hkje7loquw2dj5hm

Traction inverter with integrated charger: practical realisation and experimental study

K M Sidorov, A G Grishchenko, B N Sidorov
2019 IOP Conference Series: Materials Science and Engineering  
Based on these circuit designs, the new traction inverter with integrated charger design is suggested.  ...  Traction inverter with integrated charger practical realisation results can be used in the advanced vehicle (electric vehicles, hybrid electric vehicles) development and construction as well as in autonomous  ...  Acknowledgments The article is part of the applied scientific research (RFMEFI57417X0170) conducted at Moscow Automobile and Road Construction State Technical University (MADI) and sponsored by the Ministry  ... 
doi:10.1088/1757-899x/643/1/012031 fatcat:5emdiikk7bhaxgaynzpwkhz5ym

Signal concentration on unit sphere: An azimuthally moment weighting approach

Liying Wei, Rodney A. Kennedy, Tharaka A. Lamahewa
2010 2010 IEEE International Conference on Acoustics, Speech and Signal Processing  
Signals defined on the unit sphere cannot be simultaneously concentrated in a spatial region and in the spherical harmonic spectrum.  ...  in the spatial region, and 3) have better decaying tails than spherical Slepian functions, which form the benchmark set of basis functions for spherical filter design.  ...  of the invertible filter banks on the sphere [8] , due to their simultaneous spatially and spectrally concentration characteristics.  ... 
doi:10.1109/icassp.2010.5495878 dblp:conf/icassp/WeiKL10 fatcat:y4bywvecibfsjpkf3lckg2bzsa


Aaron R. Parsons, Donald C. Backer
2009 Astronomical Journal  
We present a filtering technique that can be applied to individual baselines of wide-bandwidth, wide-field interferometric data to geometrically select regions on the celestial sphere that contain primary  ...  The technique relies on the Fourier transformation of wide-band frequency spectra from a given baseline to obtain one-dimensional "delay images", and then the transformation of a time-series of delay images  ...  Filtering The delay of a source on the celestial sphere changes with time owing to the rotation of the b x , b y components of a baseline with the Earth.  ... 
doi:10.1088/0004-6256/138/1/219 fatcat:tefit5ibezgsveijzysv2bc34y

A panorama on multiscale geometric representations, intertwining spatial, directional and frequency selectivity

Laurent Jacques, Laurent Duval, Caroline Chaux, Gabriel Peyré
2011 Signal Processing  
We also discuss the extension of multiscale geometric decompositions to non-Euclidean domains such as the sphere or arbitrary meshed surfaces.  ...  The etymology of panorama suggests an overview, based on a choice of partially overlapping "pictures".  ...  Professor Károly Szatmáry is warmly acknowledged for providing us with the recurrent picture of the Haar-Riesz Memorial plaque.  ... 
doi:10.1016/j.sigpro.2011.04.025 fatcat:p47idwqjavbtbitck6usmkvqdu


Loganayaki.N .
2014 International Journal of Research in Engineering and Technology  
This report deals with one in all the potential applications of Static Synchronous Compensator (STATCOM) to industrial systems for mitigation of voltage dip drawback.  ...  The dip in voltage is mostly encountered throughout the beginning of Associate in nursing induction motor.  ...  ACKNOWLEDGEMENTS The authors would like to thank Asst.Professor V.Anandkumar for his valuable guidance and the anonymous reviewers for their helpful comments on earlier drafts of the work.  ... 
doi:10.15623/ijret.2014.0302005 fatcat:m2xrhyflx5gddi22o7x5hwniwi

Hierarchical Spherical CNNs with Lifting-based Adaptive Wavelets for Pooling and Unpooling [article]

Mingxing Xu, Chenglin Li, Wenrui Dai, Siheng Chen, Junni Zou, Pascal Frossard, Hongkai Xiong
2022 arXiv   pre-print
Extensive empirical evaluations on various spherical domain tasks validate the superiority of the proposed LiftHS-CNN.  ...  Pooling and unpooling are two essential operations in constructing hierarchical spherical convolutional neural networks (HS-CNNs) for comprehensive feature learning in the spherical domain.  ...  2 on level-2 graph S2 is firstly filtered by low-and high-pass filters, and partitioned into a low-frequency sub-band X 2 L and a high-frequency sub-band X 2 H with the same resolution of X 2 . ii) Downsampling  ... 
arXiv:2205.15571v1 fatcat:gnplofies5df7pzpbhkhpipzl4
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