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Inverse polynomial reconstruction method in DCT domain
2012
EURASIP Journal on Advances in Signal Processing
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To leverage the sparse representation provided by the DCT, in this article, we derive a framework for the inverse polynomial reconstruction in the DCT expansion. ...
Furthermore, automatic methods based on minimum description length principle and cross-validation are devised to select the polynomial orders, as a requirement of the inverse polynomial reconstruction ...
As a result, a new de-noising algorithm for piecewise smooth signals using inverse method in the DCT domain is presented. ...
doi:10.1186/1687-6180-2012-133
fatcat:34fxhn4eznel5jcamd6tv4rvci
An Improved Channel Estimation Method in OFDM System
2013
Applied Mechanics and Materials
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compare some BEM models in inverse methodsto find out the best ones in certain conditions. ...
the channel taps by the pilot information.We then estimate the BEM coefficients of the channel taps from their respective Fourier coefficients using a recently developed inverse reconstruction method.We ...
In Section III, we introduce the inverse methods [X15] [X16] and DCT-BEM, P-BEM, DPSS-BEM. ...
doi:10.4028/www.scientific.net/amm.347-350.1646
fatcat:l6nj2xbxabgjfgfykjgu7kfz2i
Fast downscaled inverses for images compressed with M-channel lapped transforms
1997
IEEE Transactions on Image Processing
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Full decompression and rescaling in space domain is a very expensive method. ...
In this fashion, fewer transform coefficients are used and the synthesis process is simplified. We studied the design of fast inverses, for a given forward transform. ...
The reconstruction of the pixels is given by (29) Resizing in the DCT domain has been studied before [15] , [16] . ...
doi:10.1109/83.585231
pmid:18282974
fatcat:5shxlec5wrh5tjlsyp7a2ifdma
Transform-domain sparsity regularization for inverse problems in geosciences
2009
Geophysics
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We use a discrete cosine transform ͑DCT͒ to obtain sparse representations of fields with distinct geologic features, such as channels or geologic formations in vertical cross section. ...
Lowfrequency DCT basis elements provide an effectively reduced subspace in which the sparse solution is searched. The low-dimensional subspace is not fixed, but rather adapts to the data. ...
Reconstruction results for the Burbank field porosity data using ͑a͒ the spline methods of Sandwell ͑1987͒, ͑b͒ geostatistical kriging, ͑c͒ l 1 -norm regularization in a low frequency DCT domain ͑LMN͒, ...
doi:10.1190/1.3157250
fatcat:xgieqxnp75fvnfspqhrhyc53oa
An efficient 2×2 Tchebichef moments for mobile image compression
2011
2011 International Symposium on Intelligent Signal Processing and Communications Systems (ISPACS)
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In the previous research, larger sub-block discrete Tchebichef moments have been used extensively for image compression. ...
DCT is used to transform each pixel in the 8x8 block into frequency domain. ...
The Tchebichef Moments Transform (TMT) is a method based on discrete Tchebichef polynomials [4] . ...
doi:10.1109/ispacs.2011.6146066
dblp:conf/ispacs/ErnawanNA11
fatcat:bukqvlhsfndzjlei7ndytel5r4
ASPL-APBT Algorithm for Block Compressed Sensing Image Reconstruction
2014
Journal of Communications
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Experimental results demonstrate that the proposed algorithm outperforms the method of using DCT sparsifying coupled with common SPL iteration not only in the aspect of PSNR, but in terms of the reconstruction ...
In recent years SPL based methods Manuscript ...
Our contribution lies in that we cast the reconstruction in the all phase biorthogonal transform (APBT) domain [14] , [15] in which the signal has been shown to be sparser than in DCT domain. ...
doi:10.12720/jcm.9.4.371-378
fatcat:7efdmoqewrf63ascbrnpiyhypy
Discrete Fractional COSHAD Transform and Its Application
2014
Mathematical Problems in Engineering
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This paper also develops an inverse polynomial reconstruction method (IPRM) in the discrete COSHAD/FrCOSHAD domains. ...
In recent years, there has been a renewed interest in finding methods to construct orthogonal transforms. ...
To solve this problem, this study follows the main description of the inverse polynomial reconstruction method (IPRM) for the continuous Fourier series expansion [14] [15] [16] and derives a mathematics ...
doi:10.1155/2014/567414
fatcat:ytk7zwcqnzaj7idqnt7r4zfbfa
Shape-adaptive DCT for denoising and image reconstruction
2006
Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning
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The thresholded or modified SA-DCT coe cients are used to reconstruct a local estimate of the signal within the adaptive-shape support. ...
We use the SA-DCT in conjunction with the directional LPA-ICI technique, which defines the shape of the transform's support in a pointwise adaptive manner. ...
Significant improvement of this approach has been mean subtraction SA-DCT hard-thresholding inverse SA-DCT mean addition Figure 2 . Hard-thresholding in SA-DCT domain. ...
doi:10.1117/12.642839
fatcat:vpv7brqesrfxlocea23lpl7rzy
Reduced memory, low complexity embedded image compression algorithm using hierarchical listless discrete Tchebichef transform
2014
IET Image Processing
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Abstract─ The Discrete Tchebichef Transform (DTT) based on orthogonal Tchebichef polynomials can be an alternative to Discrete Cosine Transform (DCT) for JPEG image compression standard. ...
Through extensive simulation, image reconstruction accuracy (Peak Signal to Noise Ratio) and the number of bits required to encode the coefficients for both DCT and DTT is verified. ...
Equation (1) defines the image transform τ where u and v represents the frequencies in the transform domain, f is the image being transformed, '
f is the inverse transform and
)
,
,
,
(
v
u
y ...
doi:10.1049/iet-ipr.2012.0295
fatcat:7jqc3q2jijaavexgegqroimk7q
ECG data compression by modeling
1992
Proceedings. Symposium on Computer Applications in Medical Care
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The method is based on Parametric modeling of the Discrete Cosine Transformed ECG signal. ...
Improved high frequency reconstruction is achieved by separately modeling the low and the high frequency regions of the transformed signal. ...
,N-1 is the DCT of the input sequence s(n). Similarly the inverse DCT of S(k) can be computed to get back s(n). ...
pmid:1482940
pmcid:PMC2248130
fatcat:qwwwhhlkxbei7o4q2htrczuede
Spectrum analysis of speech recognition via discrete Tchebichef transform
2011
International Conference on Graphic and Image Processing (ICGIP 2011)
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This paper proposes an approach based on discrete orthonormal Tchebichef polynomials to analyze a vowel and a consonant in spectral frequency for speech recognition. ...
It carries strong potential in the near future as computing power grows. Spectrum analysis is an elementary operation in speech recognition. ...
The inverse DTT is given in the following equation: , (12) 0, 1, … , 1, The first few discrete orthonormal Tchebichef polynomials are shown in Fig. 1 . ...
doi:10.1117/12.913491
fatcat:xizwjmgjvvhjfnaebvuelvi4ia
A Fast Block-Pruned 4x4 DTT Algorithm for Image Compression
2009
Journal of clean energy technologies
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The Discrete Tchebichef transform (DTT) is a linear orthonormal version of the orthogonal Tchebichef polynomials, which is recently used in image analysis and compression. ...
Furthermore, the experimental results show that the DTT is a good alternative for the Discrete Cosine Transform (DCT) in image compression especially for artificial diagrams images. ...
A direct 2-D DCT method based on polynomial transform techniques was proposed in [1] . Another direct method is a matrix factorization algorithm of the 2-D DCT matrix [2] . ...
doi:10.7763/ijcte.2009.v1.41
fatcat:y2wgv2iadbh3xpvkhr5bbfjaqy
Image Restoration Using Two Statistical Modeling Methods
2016
International Journal of Science and Research (IJSR)
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In this paper various image deblurring methods are discussed which are used to remove blur from the images. ...
perform inverse operation of it. ...
The SA-DCT algorithm is used to image filtering. The SA-DCT is used with the Anisotropic Local Polynomial Approximation-Intersection technique. ...
doi:10.21275/v5i4.nov162499
fatcat:uwtjwpehdndbzjzgcjitw6ycve
Boundary-artifact-free phase retrieval with the transport of intensity equation: fast solution with use of discrete cosine transform
2014
Optics Express
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This method promises to be an effective fast TIE solver for quantitative phase imaging applications. ...
However, the boundary conditions are difficult to obtain in practice. The fast Fourier transform (FFT) based TIE solutions are widely adopted for its speed and simplicity. ...
data by inverse DCT can be obtained in the first N elements of the inverse DFT result. ...
doi:10.1364/oe.22.009220
pmid:24787811
fatcat:otgi4w6r2ze2rou4hwem3wjoxu
Evaluation of F10.7, Sunspot Number and Photon Flux Data for Ionosphere TEC Modeling and Prediction Using Machine Learning Techniques
2021
Atmosphere
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A qualitative evaluation using reconstructed TEC maps indicated that the 3rd degree polynomial regression also seems inadequate. ...
Different multi-dimension regression models were considered in experiments, where each geographic location was independently evaluated using its DCT frequency components. ...
The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results. ...
doi:10.3390/atmos12091202
fatcat:l3tw67aeozhrxghygew2ghtru4
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