• 한국통신학회논문지
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• 제21권7호
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• pp.1685-1695
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• 1996

The postprocessing of compressed images based on the projections onto convex sets and the constrained minimization imposes several constraints on the procesed data. The quantization constraint has been commonly used in various algorithms. Quantization is many-to-one mapping, by which all the dat in a quantization region are mapped to the corresponding representative level. The basic idea behind the projection onto the QCS(quantization constraint set) is to prevent the processed data from diverging from the original quantization region in order to redue the artifacts caused by filtering in postprocessing. However, there have been few efforts to analye the POQCS(projection onto the QCS). This paper analyzed mathematically the POQCS of filtered data from the viewpoint of minimizing the mean square error. Our analysis shows that a proper filtering technique followed by the POQCS can reduce the quantization distortion. In the conventional POQCS, the outside data of each quantization region are mapped into the corresponding boundary. Our analysis also shows that mappingthe outside data to the boundary of a subregion of the quantization region yields lower distortion than does the mapping to the boundary of the original region. In addition, several examples and discussions on the theory are introduced.

• 한국음향학회지
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• 제42권5호
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• pp.422-428
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• 2023

초고속 초음파 영상은 탄성 영상, 초고속 도플러, 초해상도 영상과 같은 다양한 초음파 기반의 기능성 영상기술에 폭넓게 적용되고 있다. 하지만, 획득하는 데이터의 양이 많아 실시간 영상 재구성이나 3차원 또는 모바일 초음파 영상 응용으로의 확장이 제한된다. 본 논문은 적응 양자화 기법을 통해 초고속 초음파 영상으로 획득되는 대용량 Radio frequency(RF) 데이터의 전송 효율을 높이는 방법을 제안한다. 인체에서 반사된 초음파 신호는 높은 동적 범위를 가져 대부분의 현재 시스템에서 사용되는 고정 양자화 기법은 10 bits ~ 14 bits 이상의 높은 양자화 단계를 가진다. 양자화 단계 저감에 대한 화질 저하의 한계를 극복하기 위해, 본 연구는 영상 깊이에 따라 구간을 설정하고, 각 영역별 RF 데이터를 정규화하고 양자화하는 방안을 제안한다. 정량적인 검증을 위해, Field II 컴퓨터 모사 실험을 활용하여, 고정 양자화 방법과 제안하는 방법의 대조도 대 잡음 비, 공간 해상도 및 원본 대비 유사도를 비교하였다. 또한, 연구용 초음파 장비를 활용한 인체 모사 실험 및 인체 실험을 통해 최종 3-bit로 재구성한 영상에서도 제안하는 방법이 효과적으로 적용되는 것을 입증하였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권6호
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• pp.2817-2834
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• 2016

The existing reversible data hiding methods for block truncation coding (BTC) compressed images often utilize difference expansion or histogram shifting technique for data embedment. Although these methods effectively embed data into the compressed codes, the embedding operations may swap the numerical order of the higher and lower quantization levels. Since the numerical order of these two quantization levels can be exploited to carry additional data without destroying the quality of decoded image, the existing methods cannot take the advantages of this property to embed data more efficiently. In this paper, we embed data by shifting the higher and lower quantization levels in opposite direction. Because the embedment does not change numerical order of quantization levels, we exploit this property to carry additional data without further reducing the image quality. The proposed method performs no-distortion embedding if the payload is small, and performs reversible data embedding for large payload. The experimental results show that the proposed method offers better embedding performance over prior works in terms of payload and image quality.

• 한국시뮬레이션학회논문지
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• 제22권2호
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• pp.53-62
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• 2013

클라우드 환경은 분산컴퓨팅 분야의 한가지로서, 물리 노드와 가상 노드로 구성이 되어 있다. 분산화 된 클라우드 환경에서의 최적 경로 탐색은 각 노드들이 최적 경로 탐색을 수행하는 것이다. 실시간으로 급변하는 탐색 환경은 빠른 데이터 전송을 통한 각 노드들의 동기화를 요구한다. 따라서 QoS의 보장과 최적 경로 탐색을 위해서 양자화 기법이 필요하다. 양자화 기법을 통해 중앙 서버는 각 노드로 실시간 탐색 환경 데이터를 빠르게 전송가능하며 각 노드들은 원활하게 최적 경로 탐색을 수행할 수 있다. 본 논문에서는 중앙 서버에서 각 노드들의 최적 경로 탐색 문제를 해결하기 위해 데이터의 전송량을 줄일 수 있는 양자화를 적용한다. 최적 경로 생성 시스템에 양자화 데이터 전송을 적용하는 실험을 하기 위해 클라우드 환경의 시뮬레이션을 구성하였다. 양자화 기법의 적용을 통해 클라우드 환경에서 전송 되는 총 데이터를 줄이면서 성능을 높일 수 있으며, 최적 경로 탐색을 위한 어플리케이션의 QoS를 보장할 수 있다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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• pp.1347-1351
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• 1987

This thesis aims at studying laplacian pyramid vector quantization which keeps a simple compression algorithm and stability against various kinds of image data. To this end, images are devied into two groups according to their statistical characteristics. At 0.860 bits/pixel and 0.360 bits/pixel respectively, laplacian pyramid vector quantization is compared to the existing spatial domain vector quantization and transform coding under the same condition in both objective and subjective value. The laplacian pyramid vector quantization is much more stable against the statistical characteristics of images than the existing vector quantization and transform coding.

• 전자공학회논문지C
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• 제34C권11호
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• pp.20-28
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• 1997

In this paper, quantization and inverse quantizatio unit, a sa component of MPEG-2 moving picture compression system, ar edesigned. In the processing of quantization, this design adopted newly designed arithmetic units in which quantization matrices and scale code was expressed with SD(signed-digit) code. In the arithmetic unit of inverse quantization, quantization scale code, which has 5-bits length, is splited into two pieces; 2-bits for control code, 3-bits for quantization data, and the method to devise quantization step size is proposed. The design was coded with VHDL and synthesis results in that it consumed about 6,110 gates, and operating speed is 52MHz.

• 대한수학회논문집
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• 제38권2호
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• pp.431-450
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• 2023

The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus to make an approximation of a continuous probability distribution by a discrete distribution. It has broad application in signal processing and data compression. In this paper, first we define the uniform distributions on different curves such as a line segment, a circle, and the boundary of an equilateral triangle. Then, we give the exact formulas to determine the optimal sets of n-means and the nth quantization errors for different values of n with respect to the uniform distributions defined on the curves. In each case, we further calculate the quantization dimension and show that it is equal to the dimension of the object; and the quantization coefficient exists as a finite positive number. This supports the well-known result of Bucklew and Wise [2], which says that for a Borel probability measure P with non-vanishing absolutely continuous part the quantization coefficient exists as a finite positive number.

• 전자공학회논문지
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• 제49권10호
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• pp.135-141
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• 2012

LCD 오버드라이브에서 프레임 메모리 크기를 줄이는 방법으로, BTC 영상 압축이 널리 사용되고 있다. BTC 영상 압축에서압축률을 높이기 위해서는 비트맵 데이터를 압축하거나 양자화 데이터의 압축이 필요하다. 본 논문에서는 압축률을 높이기 위해서 CMBQ-BTC (CMBQ : compression method bitmap and quantization data) 알고리즘을 제안한다. 시뮬레이션으로 기존의 BTC 알고리즘과 PSNR 및 압축비율의 비교를 통해서, 제안한 알고리즘의 효율성을 확인하였다.

• 전자공학회논문지B
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• 제33B권8호
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• pp.42-49
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• 1996

In this paper, we propose a satellite multispectral image data compression method using classified vector quantization. This method classifies each pixel vector considering band characteristics of multispectral images. For each class, we perform both intraband and interband vector quantization to romove spatial and spectral redundancy, respectively. And residual vector quantization for error images is performed to reduce error of interband vector quantization. Thus, this method improves compression efficiency because of removing both intraband(spatial) and interband (spectral) redundancy in multispectral images, effectively. Experiments on landsat TM multispectral image show that compression efficiency of proposed method is better than that of conventional method.

• JSTS:Journal of Semiconductor Technology and Science
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• 제10권2호
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• pp.100-106
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• 2010

The impact of surface quantization on device parameters of a Si metal oxide semiconductor (MOS) capacitor has been analyzed in the present work. Variation of conduction band bending, position of discrete energy states, variation of surface potential, and the variation of inversion carrier concentration at charge centroid have been analyzed for different gate voltages, substrate doping concentrations and oxide thicknesses. Oxide thickness calculated from the experimental C-V data of a MOS capacitor is different from the actual oxide thickness, since such data include the effect of surface quantization. A correction factor has been developed considering the effect of charge centroid in presence of surface quantization at strong inversion and it has been observed that the correction due to surface quantization is crucial for highly doped substrate with thinner gate oxide.