• Title/Summary/Keyword: Lifting Scheme

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Image Compression and Edge Detection Based on Wavelet Transforms (웨이블릿 기반의 영상 압축 및 에지 검출)

  • Jung il Hong;Kim Young Soon
    • Journal of Korea Multimedia Society
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    • v.8 no.1
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    • pp.19-26
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    • 2005
  • The basis function of wavelet transform used in this paper is constructed by using lifting scheme, which is different from general wavelet transform. Lifting scheme is a new biorthogonal wavelet con-structing method, that does not use Fourier transform for constructing its basis function. In this paper, an image compression and reconstruction method using the lifting scheme was proposed. And this method improves data visualization by supporting a partial reconstruction and a local reconstruction. Approx- imations at various resolutions allow extracting various sizes of feature from an image or signal with a small amount of original information. An approximation with small size of scaling coefficients gives a brief outline of features at fast. Image compression and edge detection techniques provide good frame- works for data management and visualization in multimedia database.

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Denoising Based on the Adaptive Lifting

  • Lee, Chang-Soo;Yoo, Kyung-Yul
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.1E
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    • pp.13-19
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    • 1999
  • This paper introduces an adaptive wavelet transform based on the lifting scheme, which is applied to signal denoising. The wavelet representation using orthogonal wavelet bases has received widespread attention. Recently the lifting scheme has been developed for the construction of biorthogonal wavelets in the spatial domain. Wavelet transforms are performed through three stages: the first stage or Lazy wavelet splits the data into two subsets, even and odd, the second stage calculates the wavelet coefficients (highpass) as the failure to interpolate or predict the odd set using the even, and the third stage updates the even set using neighboring odd points (wavelet coefficients) to compute the scaling function coefficients (lowpass). In this paper, we adaptively find some of the prediction coefficients for better representation of signals and this customizes wavelet transforms to provide an efficient framework for denoising. Special care has been given to the boundaries, where we design a set of different prediction coefficients to reduce the prediction error.

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Nonlinear Wavelet Transform Using Lifting (리프팅을 이용한 비선형 웨이블릿 변환)

  • Lee, Chang-Soo;Yoo, Kyung-Yul
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3224-3226
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    • 1999
  • This paper introduces a nonlinear wavelet transform based on the lifting scheme, which is applied to signal denoising through the translation invariant wavelet transform. The wavelet representation using orthogonal wavelet bases has received widespread attention. Recently the lifting scheme has been developed for the construction of biorthogonal wavelets in the spatial domain. In this paper, we adaptively reduce the vanishing moments in the discontinuities to suppress the ringing artifacts and this customizes wavelet transforms providing an efficient framework for the translation invariant denoising. Special care has been given to the boundaries, where we design a set of different prediction coefficients to reduce the prediction error.

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A High Speed 2D-DWT Parallel Hardware Architecture Using the Lifting Scheme (Lifting scheme을 이용한 고속 병렬 2D-DWT 하드웨어 구조)

  • 김종욱;정정화
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.7
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    • pp.518-525
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    • 2003
  • In this paper, we present a fast hardware architecture to implement a parallel 2-dimensional discrete wavelet transform(DWT)based on the lifting scheme DWT framework. The conventional 2-D DWT had a long initial and total latencies to get the final 2D transformed coefficients because the DWT used an entire input data set for the transformation and transformed sequentially The proposed architecture increased the parallel performance at computing the row directional transform using new data splitting method. And, we used the hardware resource sharing architecture for improving the total throughput of 2D DWT. Finally, we proposed a scheduling of hardware resource which is optimized to the proposed hardware architecture and splitting method. Due to the use of the proposed architecture, the parallel computing efficiency is increased. This architecture shows the initial and total latencies are improved by 50% and 66%.

Sensor Node Acoustic Signal Processing in Wireless Sensor Network using Lifting Scheme Wavelet (무선 센서 네트워크에서 Lifting Scheme Wavelet을 이용한 센서 노드 음향 신호 처리)

  • Cha, Dae-Hyun;Lee, Tae-Young;Hong, Jin-Keun;Han, Kun-Hui;Hwang, Chan-Sik
    • Proceedings of the KAIS Fall Conference
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    • 2008.11a
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    • pp.236-239
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    • 2008
  • 무선 센서 네트워크에서 센서 노드는 그 목적에 따라 다양한 신호처리 기능을 가져야 한다. 센서 노드의 에너지 제약과 통신 대역폭 제한은 센서 노드에서의 가벼운 신호처리 기법을 필요로 한다. 일반적인 센서 노드에서의 신호처리 기법은 센서 노드에 수신된 신호를 잡음제거 등의 전처리를 수행하고, 에너지를 계산하여 표적의 위치를 탐지하고 기지국에서의 위치추정 및 식별을 위하여 특징 추출하거나 압축하여 전송하는 등의 방법으로 구성된다. 이러한 센서 노드에서 필수적인 신호처리 기법들은 에너지 효율적인 신호처리 기법은 무선 센서 네트워크의 생존 시간과 표적 탐지 및 식별이라는 목적에 대한 성능에 큰 영향을 끼치게 된다. 본 논문에서는 무선 센서 네트워크에서 센서 노드의 필수적인 신호처리를 Lifting scheme wavelet 방법을 이용하여 센서 노드에서 에너지 효율적인 신호처리 기법을 제안한다.

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The Fast Lifting Wavelet Transform for Image Coding

  • Shin, Jonghong;Jee, InnHo
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1015-1018
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    • 2002
  • We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed onto a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures, We present a self-contained derivations, building the decomposition from the basic principles such as the Euclidean algorithm, with a focus on a applying it to wavelet filtering. This factorization provides an alternative for the lattice factorization, with the advantage that it can also be used in the bi-orthogonal, i.e, non-unitary case. Lifting leads to a speed-up when compared to the standard implementation. We show that this lifting scheme can be applied in image compression efficiently

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3-D Wavelet Compression with Lifting Scheme for Rendering Concentric Mosaic Image (동심원 모자이크 영상 표현을 위한 Lifting을 이용한 3차원 웨이브렛 압축)

  • Jang Sun-Bong;Jee Inn-Ho
    • Journal of Broadcast Engineering
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    • v.11 no.2 s.31
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    • pp.164-173
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    • 2006
  • The data structure of the concentric mosaic can be regarded as a video sequence with a slowly panning camera. We take a concentric mosaic with match or alignment of video sequences. Also the concentric mosaic required for huge memory. Thus, compressing is essential in order to use the concentric mosaic. Therefore we need the algorithm that compressed data structure was maintained and the scene was decoded. In this paper, we used 3D lifting transform to compress concentric mosaic. Lifting transform has a merit of wavelet transform and reduces computation quantities and memory. Because each frame has high correlation, the complexity which a scene is detected form 3D transformed bitstream is increased. Thus, in order to have higher performance and decrease the complexity of detecting of a scene we executed 3D lifting and then transformed data set was sequently compressed with each frame unit. Each frame has a flexible bit rate. Also, we proposed the algorithm that compressed data structure was maintained and the scene was decoded by using property of lifting structure.

A Design of Parallel Processing for Wavelet Transformation on FPGA (ICCAS 2005)

  • Ngowsuwan, Krairuek;Chisobhuk, Orachat;Vongchumyen, Charoen
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.864-867
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    • 2005
  • In this paper we introduce a design of parallel architecture for wavelet transformation on FPGA. We implement wavelet transforms though lifting scheme and apply Daubechies4 transform equations. This technique has an advantage that we can obtain perfect reconstruction of the data. We divide our process to high pass filter and low pass filter. With this division, we can find coefficients from low and high pass filters simultaneously using parallel processing properties of FPGA to reduce processing time. From the equations, we have to design real number computation module, referred to IEEE754 standard. We choose 32 bit computation that is fine enough to reconstruct data. After that we arrange the real number module according to Daubechies4 transform though lifting scheme.

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Sparse Point Representation Based on Interpolation Wavelets (보간 웨이블렛 기반의 Sparse Point Representation)

  • Park, Jun-Pyo;Lee, Do-Hyung;Maeng, Joo-Sung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.1 s.244
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    • pp.8-15
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    • 2006
  • A Sparse Point Representation(SPR) based on interpolation wavelets is presented. The SPR is implemented for the purpose of CFD data compression. Unlike conventional wavelet transformation, the SPR relieves computing workload in the similar fashion of lifting scheme that includes splitting and prediction procedures in sequence. However, SPR skips update procedure that is major part of lifting scheme. Data compression can be achieved by proper thresholding method. The advantage of the SPR method is that, by keeping even point physical values, low frequency filtering procedure is omitted and its related unphysical thresholing mechanism can be avoided in reconstruction process. Extra singular feature detection algorithm is implemented for preserving singular features such as shock and vortices. Several numerical tests show the adequacy of SPR for the CFD data. It is also shown that it can be easily extended to nonlinear adaptive wavelets for enhanced feature capturing.

A study on a FPGA based implementation of the 2 dimensional discrete wavelet transform using a fast lifting scheme algorithm for the JPEG2000 image compression (JPEG2000 영상압축을 위한 리프팅 설계 알고리즘을 이용한 2차원 이산 웨이블릿 변환 프로세서의 FPGA 구현에 대한 연구)

  • 송영규;고광철;정제명
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2315-2318
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    • 2003
  • The Wavelet Transform has been applied in mathematics and computer sciences. Numerous studies have proven its advantages in image processing and data compression, and have made it a basic encoding technique in data compression standards like JPEG2000 and MPEG-4. Software implementations of the Discrete Wavelet Transform (DWT) appears to be the performance bottleneck in real-time systems in terms of performance. And hardware implementations are not flexible. Therefore, FPGA implementations of the DWT has been a topic of recent research. The goal of this thesis is to investigate of FPGA implementations of the DWT Processor for image compression applications. The DWT processor design is based on the Lifting Based Wavelet Transform Scheme, which is a fast implementation of the DWT The design uses various techniques. The DWT Processor was simulated and implemented in a FLEX FPGA platform of Altera

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