• Title/Summary/Keyword: reconstructed error

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Floating-Poing Quantization Error Analysis in Subband Codes System

  • Park, Kyu-Sik
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.1E
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    • pp.41-48
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    • 1997
  • The very purpose of subband codec is the attainment of data rate compression through the use of quantizer and optimum bit allocation for each decimated signal. Yet the question of floating-point quantization effects in subband codec has received scant attention. There has been no direct focus on the analysis of quantization errors, nor on design with quantization errors embedded explicitly in the criterion. This paper provides a rigorous theory for the modelling, analysis and optimum design of the general M-band subband codec in the presence of the floating-point quantization noise. The floating-point quantizers are embedded into the codec structure by its equivalent multiplicative noise model. We then decompose the analysis and synthesis subband filter banks of the codec into the polyphase form and construct an equivalent time-invariant structure to compute exact expression for the mean square quantization error in the reconstructed an equivalent time-invariant structure to compute exact expression for the mean square quantization error in the reconstructed output. The optimum design criteria of the subband codec is given to the design of the analysis/synthesis filter bank and the floating-point quantizer to minimize the output mean square error. Specific optimum design examples are developed with two types of filter of filter banks-orthonormal and biorthogonal filter bank, along with their perpormance analysis.

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Noise reduction method using a variance map of the phase differences in digital holographic microscopy

  • Hyun-Woo Kim;Myungjin Cho;Min-Chul Lee
    • ETRI Journal
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    • v.45 no.1
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    • pp.131-137
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    • 2023
  • The phase reconstruction process in digital holographic microscopy involves a trade-off between the phase error and the high-spatial-frequency components. In this reconstruction process, if the narrow region of the sideband is windowed in the Fourier domain, the phase error from the DC component will be reduced, but the high-spatial-frequency components will be lost. However, if the wide region is windowed, the 3D profile will include the high-spatial-frequency components, but the phase error will increase. To solve this trade-off, we propose the high-variance pixel averaging method, which uses the variance map of the reconstructed depth profiles of the windowed sidebands of different sizes in the Fourier domain to classify the phase error and the high-spatial-frequency components. Our proposed method calculates the average of the high-variance pixels because they include the noise from the DC component. In addition, for the nonaveraged pixels, the reconstructed phase data created by the spatial frequency components of the widest window are used to include the high-spatialfrequency components. We explain the mathematical algorithm of our proposed method and compare it with conventional methods to verify its advantages.

Fast Cardiac CINE MRI by Iterative Truncation of Small Transformed Coefficients

  • Park, Jinho;Hong, Hye-Jin;Yang, Young-Joong;Ahn, Chang-Beom
    • Investigative Magnetic Resonance Imaging
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    • v.19 no.1
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    • pp.19-30
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    • 2015
  • Purpose: A new compressed sensing technique by iterative truncation of small transformed coefficients (ITSC) is proposed for fast cardiac CINE MRI. Materials and Methods: The proposed reconstruction is composed of two processes: truncation of the small transformed coefficients in the r-f domain, and restoration of the measured data in the k-t domain. The two processes are sequentially applied iteratively until the reconstructed images converge, with the assumption that the cardiac CINE images are inherently sparse in the r-f domain. A novel sampling strategy to reduce the normalized mean square error of the reconstructed images is proposed. Results: The technique shows the least normalized mean square error among the four methods under comparison (zero filling, view sharing, k-t FOCUSS, and ITSC). Application of ITSC for multi-slice cardiac CINE imaging was tested with the number of slices of 2 to 8 in a single breath-hold, to demonstrate the clinical usefulness of the technique. Conclusion: Reconstructed images with the compression factors of 3-4 appear very close to the images without compression. Furthermore the proposed algorithm is computationally efficient and is stable without using matrix inversion during the reconstruction.

Bayesian Image Reconstruction Using Edge Detecting Process for PET

  • Um, Jong-Seok
    • Journal of Korea Multimedia Society
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    • v.8 no.12
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    • pp.1565-1571
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    • 2005
  • Images reconstructed with Maximum-Likelihood Expectation-Maximization (MLEM) algorithm have been observed to have checkerboard effects and have noise artifacts near edges as iterations proceed. To compensate this ill-posed nature, numerous penalized maximum-likelihood methods have been proposed. We suggest a simple algorithm of applying edge detecting process to the MLEM and Bayesian Expectation-Maximization (BEM) to reduce the noise artifacts near edges and remove checkerboard effects. We have shown by simulation that this algorithm removes checkerboard effects and improves the clarity of the reconstructed image and has good properties based on root mean square error (RMS).

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An Edge-detecting Bayesian Image Reconstruction for Positron Emission Tomography

  • Um, Jong-Seok;Choi, Byong-Su
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.817-825
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    • 1997
  • Images reconstructed with EM algorithm have been observed to have checkerboard effects and have large distortions near edges as iterations proceed. We suggest a aimple algorithm of applying line process to the EM and Bayesian EM to reduce the distortions near edges. We show by simulation that this algorithm improves the clarity of the reconstructed image and has good properties based on root mean square error.

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A Spectral Inverse Scattering Technique by Using Low Pass Filters (저대역 필터를 사용한 파수영역에서의 역산란 방법)

  • 이재민;김세윤;라정웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.708-714
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    • 1991
  • In this paper, the noise contribution to the permit tivity profile reconstructed by the spectral inverse scattering scheme is investigated and a low-pass filter is proposed to reduce such the noise effects. Numerical simulations showed that the reconstructed profiles are affected by extremely large error. The suggested low-pass filter made it possible to reconstruct the permittivity profile nearly similar to the original. Furthermore, the optimal condition to the low-pass filter agreed well with the physical meaning even if several variables involved in the inverse scattering scheme were changed.

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Fractal Image Compression Based on Wavelet Transform Domain Using Significant Coefficient Tree (웨이브렛 변환 영역에서의 유효계수 트리를 이용한 프랙탈 영상 압축 방법)

  • 배성호;박길흠
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.11
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    • pp.62-71
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    • 1996
  • In this paper we propose a method that improves PSNR at low bit rate and reduces computational complexity in fractal image coding based on discrete wavelet transform. The proposed method, which uses significant coefficient tree, improves PSNR of the reconstructed image and reduces computational comlexity of mapping domain block onto range block by matching only the significant coefficients of range block to coefficients of domain block. Also, the proposed method reduces error propagation form lower resolution subbands to higher resolution subbands by correcting error of lower resolution subbands. Some experimental results confirm that the proposed method reduces encoding and decoding time significantly and has fine reconstructed images having no blocking effect and clear edges at low bit rate.

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Geometrical Compensation of Injection-Molded Thin-Walled Parts in Reverse Engineering

  • Kim Yeun Sul;Lee Hi Koan;Huang Jing Chung;Kong Young Sik;Yang Gyun Eui
    • International Journal of Precision Engineering and Manufacturing
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    • v.6 no.2
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    • pp.12-18
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    • 2005
  • A geometric compensation of thin-walled molded parts in reverse engineering is presented. Researches in reverse engineering have focused on the fitting of points to curves and surfaces. However, the reconstructed model is not the geometric model because the molded parts have some dimensional errors in measurements and deformation during molding. Geometric information can give an improved accuracy in reverse engineering. Thus, measurement data must be compensated with geometric information to reconstruct the mathematical model. The functional and geometric concepts of the part can be derived from geometric information. LSM (Least square method) is adopted to determine the geometric information. Also, an example of geometric compensation is given to improve the accuracy of geometric model and to inspect the reconstructed model.

Backstepping Control-Based Precise Positioning Control Using Robust Friction State Observer and RFNN (강인한 마찰상태관측기와 RFNN을 이용한 백스테핑 제어기반 정밀 위치제어)

  • Yeo, Dae-Yeon;Han, Seong-Ik;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.3
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    • pp.394-401
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    • 2010
  • In this article, we investigate a robust friction compensation scheme for the purpose of accomplishing precision positioning performance a servo mechanical system with nonlinear dynamic friction. To estimate the friction state and tackle robustness problem for uncertainty, a RFNN and reconstructed error compensator as well as a robust friction state observer are developed. The asymptotic stability of the series of friction compensation methodologies are verified from the Lyapunov's stability theory. Some simulations and experiments on a servo mechanical system were carried out to evaluate the effectiveness of the proposed control scheme.

Interrelationship of phase-error variance and correlation coefficient in microwave imaging (마이크로웨이브 이미징에서 위상오차 분산과 코릴레이션 계수와의 상호관계)

  • 강봉순;장훈기
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.10
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    • pp.1-6
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    • 1997
  • This paper presents the theoretical derivaion relating and image correlationcoeffcient capable of assessing image quality, with phase-error variance in antenna aperture domain. We show that when the phase-error variance of a range bin selected as an adaptive beamformer is known, the quality of the reconstructed image is predictable and moreover, the resultant correlation coeffcient is obviously greater than the derive dlower boudn. To support the derivation, real data are used for image formation where the dominant scatterer algorithm (DSA) is applied for phase compensations.

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