scholarly journals Determining Analyticity for Parameter Optimization of the Gegenbauer Reconstruction Method

2005 ◽  
Vol 27 (3) ◽  
pp. 1014-1031 ◽  
Author(s):  
A. Gelb ◽  
Z. Jackiewicz
Keyword(s):  
Parameter Optimization ◽  
Reconstruction Method ◽  
Gegenbauer Reconstruction

Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method

NeuroImage ◽  
2003 ◽  
Vol 20 (1) ◽  
pp. 489-502 ◽  
Author(s):  
Rick Archibald ◽  
Kewei Chen ◽  
Anne Gelb ◽  
Rosemary Renaut
Keyword(s):  
Human Brain ◽  
Brain Mri ◽  
Reconstruction Method ◽  
Tissue Segmentation ◽  
Gegenbauer Reconstruction

A NEW STRATEGY FOR CHOOSING THE CHEBYSHEV‐GEGENBAUER PARAMETERS IN A RECONSTRUCTION BASED ON ASYMPTOTIC ANALYSIS

2010 ◽  
Vol 15 (2) ◽  
pp. 199-222 ◽  
Author(s):  
Zdzislaw Jackiewicz ◽  
R. Park
Keyword(s):  
Asymptotic Analysis ◽  
Error Bounds ◽  
Numerical Experiments ◽  
Reconstruction Method ◽  
Careful Selection ◽  
Finite Series ◽  
New Strategy ◽  
Gegenbauer Reconstruction ◽  
Expansion Coefficients ◽  
The Difference

The Gegenbauer reconstruction method, first proposed by Gottlieb et. al. in 1992, has been considered a useful technique for re‐expanding finite series polynomial approximations while simultaneously avoiding Gibbs artifacts. Since its introduction many studies have analyzed the method's strengths and weaknesses as well as suggesting several applications. However, until recently no attempts were made to optimize the reconstruction parameters, whose careful selection can make the difference between spectral accuracies and divergent error bounds. In this paper we propose asymptotic analysis as a method for locating the optimal Gegenbauer reconstruction parameters. Such parameters are useful to applications of this reconstruction method that either seek to bound the number of Gegenbauer expansion coefficients or to control compression ratios. We then illustrate the effectiveness of our approach with the results from some numerical experiments.

Three-dimensional reconstruction of the 40S ribosomal subunit from rabbit reticulocytes

1987 ◽  
Vol 45 ◽  
pp. 936-937
Author(s):  
Neng-Yu Zhang ◽  
Terence Wagenknecht ◽  
Michael Radermacher ◽  
Tom Obrig ◽  
Joachim Frank
Keyword(s):  
Three Dimensional ◽  
Ribosomal Subunit ◽  
Uranyl Acetate ◽  
Reconstruction Method ◽  
Single Exposure ◽  
Electron Dose ◽  
Ribosomal Subunits ◽  
40S Ribosomal Subunit ◽  
Dimensional Reconstruction ◽  
Rabbit Reticulocytes

We have reconstructed the 40S ribosomal subunit at a resolution of 4 nm using the single-exposure pseudo-conical reconstruction method of Radermacher et al.Small (40S) ribosomal subunits were Isolated from rabbit reticulocytes, applied to grids and negatively stained (0.5% uranyl acetate) in a manner that “sandwiches” the specimen between two layers of carbon. Regions of the grid exhibiting uniform and thick staining were identified and photographed twice (magnification 49,000X). The first micrograph was always taken with the specimen tilted by 50° and the second was of the Identical area untilted (Fig. 1). For each of the micrographs the specimen was subjected to an electron dose of 2000-3000 el/nm2.Three hundred thirty particles appearing in the L view (defined in [4]) were selected from both tilted- and untilted-specimen micrographs. The untilted particles were aligned and their rotational alignment produced the azimuthal angles of the tilted particles in the conical tilt series.

Development of Waveform Reconstruction Method with Current Transformer Saturation

2009 ◽  
Vol 129 (1) ◽  
pp. 15-21 ◽  
Author(s):  
Shoichi Urano ◽  
Takeshi Yamada ◽  
Yoshifumi Ooura ◽  
Youheng Xu ◽  
Yasutaka Yamaguchi ◽  
...  
Keyword(s):  
Current Transformer ◽  
Reconstruction Method
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