• Title/Summary/Keyword: Wavelet Coefficients

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Determinacy on a Maximum Resolution in Wavelet Series

  • Park, Chun-Gun;Kim, Yeong-Hwa;Yang, Wan-Youn
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.467-476
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    • 2004
  • Recently, an approximation of a wavelet series has been developed in the analyses of an unknown function. Most of articles have been studied on thresholding and shrinkage methods for its wavelet coefficients based on (non)parametric and Bayesian methods when the sample size is considered as a maximum resolution in wavelet series. In this paper, regardless of the sample size, we are focusing only on the choice of a maximum resolution in wavelet series. We propose a Bayesian approach to the choice of a maximum resolution based on the linear combination of the wavelet basis functions.

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The Modeling of the Optimal Data Format for JPEG2000 CODEC on the Fixed Compression Ratio (고정 압축률에서의 JPEG2000 코덱을 위한 최적의 데이터 형식 모델링)

  • Kang, Chang-Soo;Seo, Choon-Weon
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.1257-1260
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    • 2005
  • This paper is related to optimization in the image data format, which can make a great effect in performance of data compression and is based on the wavelet transform and JPEG2000. This paper established a criterion to decide the data format to be used in wavelet transform, which is on the bases of the data errors in frequency transform and quantization. This criterion has been used to extract the optimal data format experimentally. The result were (1, 9) of 10-bit fixed-point format for filter coefficients and (9, 7) of 16-bit fixed-point data format for wavelet coefficients and their optimality was confirmed.

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Fast Ultrasound Image Compression Based on Characteristics of Ultrasound Images (초음파 영상특성에 기반한 고속 초음파 영상압축)

  • Kim, S.H.
    • Proceedings of the KOSOMBE Conference
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    • v.1998 no.11
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    • pp.70-71
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    • 1998
  • In this paper, We proposed fast ultrasound image compression based on characteristics of ultrasound images. In the proposed method, wavelet transform is performed for non-zero coefficients selectively. It codes zero-tree symbols using conditional pdf (probability density function) as orientation of bands. It normalizes wavelet coefficients with threshold of each wavelet band and encodes those using a uniform quantizer. Experimental results show that the proposed method is the proposed method is superior in PSNR to LuraTech's method by about 1.0 dB, to JPEG by about 5.0 dB for $640\times480$ 24bits color ultrasound image.

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Image Authentication and Restoration Using Digital Watermarking by Quantization of Integer Wavelet Transform Coefficients

  • Ahsan, Tanveer;Chong, Ui-Pil
    • Journal of the Institute of Convergence Signal Processing
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    • v.13 no.4
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    • pp.187-193
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    • 2012
  • An image authentication scheme for gray scale image through embedding a digital watermark by quantization of Integer Wavelet Transform (IWT) coefficients of the image is proposed in this paper. Proposed method is designed to detect modification of an image and to identify tampered location of the image. To embed the watermark mid-frequency band of a second level IWT was used. An approximation of the original image based on LL band was stored in LSB bits of the pixel data as a recovery mark for restoration of the image. Watermarked image has achieved a good PSNR of 40 dB compared to original cover image. Restored image quality was also very good with a PSNR of more than 35 dB compared to unmodified watermarked image even when 25% of the received image is cropped. Thus, the proposed method ensures a proper balance between the fidelity of the watermarked image and the quality of the restored image.

Recovering from Bit Errors in Scalar-Quantized Discrete Wavelet (양자화된 이산 웨이블릿 변환 영상에서의 비트 에러 복원)

  • 최승규;이득재;장은영;배철수
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.05a
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    • pp.594-597
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    • 2002
  • In this paper we study the effects of transmission noise on fixed-length coded wavelet coefficients. We use a posteriori detectors which include inter-bitplane information and determine which transmitted codeword was most likely corrupted into a received erroneous codeword We present a simple method of recovering from these errors once detected and demonstrate our restoration methodology on scalar-quantized wavelet coefficients that have been transmitted across a binary symmetric channel.

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The Variable Block-based Image Compression Technique using Wavelet Transform (웨이블릿 변환을 이용한 가변블록 기반 영상 압축)

  • 권세안;장우영;송광훈
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.7B
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    • pp.1378-1383
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    • 1999
  • In this paper, an effective variable-block-based image compression technique using wavelet transform is proposed. Since the statistical property of each wavelet subband is different, we apply the adaptive quantization to each wavelet subband. In the proposed algorithm, each subband is divided into non-overlapping variable-sized blocks based on directional properties. In addition, we remove wavelet coefficients which are below a certain threshold value for coding efficiency. To compress the transformed data, the proposed algorithm quantizes the wavelet coefficients using scalar quantizer in LL subband and vector quantizers for other subbands to increase compression ratio. The proposed algorithm shows improvements in compression ratio as well as PSNR compared with the existing block-based compression algorithms. In addition, it does not cause any blocking artifacts in very low bit rates even though it is also a block-based method. The proposed algorithm also has advantage in computational complexity over the existing wavelet-based compression algorithms since it is a block-based algorithm.

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Wavelet-Based Minimized Feature Selection for Motor Imagery Classification (운동 형상 분류를 위한 웨이블릿 기반 최소의 특징 선택)

  • Lee, Sang-Hong;Shin, Dong-Kun;Lim, Joon-S.
    • The Journal of the Korea Contents Association
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    • v.10 no.6
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    • pp.27-34
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    • 2010
  • This paper presents a methodology for classifying left and right motor imagery using a neural network with weighted fuzzy membership functions (NEWFM) and wavelet-based feature extraction. Wavelet coefficients are extracted from electroencephalogram(EEG) signal by wavelet transforms in the first step. In the second step, sixty numbers of initial features are extracted from wavelet coefficients by the frequency distribution and the amount of variability in frequency distribution. The distributed non-overlap area measurement method selects the minimized number of features by removing the worst input features one by one, and then minimized six numbers of features are selected with the highest performance result. The proposed methodology shows that accuracy rate is 86.43% with six numbers of features.

Compression of Terrain Data using Integer Wavelet Transform (IWT) and Application on Gravity Terrain Correction (정수웨이블릿변환(IWT)을 이용한 지형 자료의 압축 및 정밀 지형 효과 계산을 위한 활용 방법 고찰)

  • Chung, Hojoon;Lee, Heuisoon;Oh, Seokhoon;Park, Gyesoon;Rim, Hyoungrea
    • Journal of the Korean earth science society
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    • v.34 no.1
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    • pp.69-80
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    • 2013
  • Terrain data is one of important basic data in various areas of Earth science. Recently, finer DEM data is available, which necessary to develop a method that deals with such huge data efficiently. This study was conducted on the lossless compression of DEM data and efficient partial reconstruction of terrain information from compressed data. In this study, we compressed the wavelet coefficients of DEM, obtained from integer wavelet transform (IWT) by entropy encoding. CDF (Cohen-Daubechies-Feauveau) 3.5 wavelet showed the best compression ratio of about 45.4% and the optimum decomposition level was 3. Results also showed that a small region of terrain could be restored from the inverse wavelet transform with a part of the wavelet coefficients that are related to such region instead of whole reconstruction. We discussed the potential applications of the terrain data compression for precise gravity terrain correction.

Design of Fresnelet Transform based on Wavelet function for Efficient Analysis of Digital Hologram (디지털 홀로그램의 효율적인 분해를 위한 웨이블릿 함수 기반 프레넬릿 변환의 설계)

  • Seo, Young-Ho;Kim, Jin-Kyum;Kim, Dong-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.23 no.3
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    • pp.291-298
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    • 2019
  • In this paper, we propose a Fresnel transform method using various wavelet functions to efficiently decompose digital holograms. After implementing the proposed wavelet function-based Fresnelet transforms, we apply it to the digital hologram and analyze the energy characteristics of the coefficients. The implemented wavelet transform-based Fresnelet transform is well suited for reconstructing and processing holograms which are optically obtained or generated by computer-generated hologram technique. After analyzing the characteristics of the spline function, we discuss wavelet multiresolution analysis method based on it. Through this process, we proposed a transform tool that can effectively decompose fringe patterns generated by optical interference phenomena. We implement Fresnelet transform based on wavelet function with various decomposition properties and show the results of decomposing fringe pattern using it. The results show that the energy distribution of the coefficients is significantly different depending on whether the random phase is included or not.

A Novel Detection Technique for Voltage Sag in Distribution Lines Using the Wavelet Transform

  • Ko, Young-Hun;Kim, Chul-Hwan;Ahn, Sang-Pil
    • KIEE International Transactions on Power Engineering
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    • v.3A no.3
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    • pp.130-138
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    • 2003
  • This paper presents a discrete wavelet transform approach for determining the beginning and end times of voltage sags. Firstly, investigations in the use of some typical mother wavelets, namely Daubechies, Symlets, Coiflets and Biorthogonal are carried out and the most appropriate mother wavelet is selected. The proposed technique is based on utilizing the maximum value of Dl (at scale 1) coefficients in multiresolution analysis (MRA) based on the discrete wavelet transform. The results are compared with other methods for determining voltage sag duration, such as the Root Mean Square (RMS) voltage and Short Time Fourier Transform (STFT) methods. It is shown that the voltage sag detection technique based on the wavelet transform is a satisfactory and reliable method for detecting voltage sags in power quality disturbance analysis.