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Efficient Quadtree based Fractal Image Coding Scheme in Wavelet Transform Domain *
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作者 高西奇 洪波 +1 位作者 张辉 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1998年第1期35-40,共6页
This paper presents an efficient quadtree based fractal image coding scheme in wavelet transform domain based on the wavelet based theory of fractal image compression introduced by Davis. In the scheme, zerotrees of... This paper presents an efficient quadtree based fractal image coding scheme in wavelet transform domain based on the wavelet based theory of fractal image compression introduced by Davis. In the scheme, zerotrees of wavelet coefficients are used to reduce the number of domain blocks, which leads to lower bit cost required to represent the location information of fractal coding, and overall entropy constrained optimization is performed for the decision trees as well as for the sets of scalar quantizers and self quantizers of wavelet subtrees. Experiment results show that at the low bit rates, the proposed scheme gives about 1 dB improvement in PSNR over the reported results. 展开更多
关键词 fractal image coding wavelet transform QUADTREE
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SFCVQ and EZW coding method based on Karhunen-Loeve transformation and integer wavelet transformation 被引量:1
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作者 闫敬文 陈嘉臻 《Chinese Optics Letters》 SCIE EI CAS CSCD 2007年第3期153-155,共3页
A new hyperspectral image compression method of spectral feature classification vector quantization (SFCVQ) and embedded zero-tree of wavelet (EZW) based on Karhunen-Loeve transformation (KLT) and integer wavele... A new hyperspectral image compression method of spectral feature classification vector quantization (SFCVQ) and embedded zero-tree of wavelet (EZW) based on Karhunen-Loeve transformation (KLT) and integer wavelet transformation is represented. In comparison with the other methods, this method not only keeps the characteristics of high compression ratio and easy real-time transmission, but also has the advantage of high computation speed. After lifting based integer wavelet and SFCVQ coding are intro- duced, a system of nearly lossless compression of hyperspectral images is designed. KLT is used to remove the correlation of spectral redundancy as one-dimensional (1D) linear transform, and SFCVQ coding is applied to enhance compression ratio. The two-dimensional (2D) integer wavelet transformation is adopted for the decorrelation of 2D spatial redundancy. EZW coding method is applied to compress data in wavelet domain. Experimental results show that in comparison with the method of wavelet SFCVQ (WSFCVQ), the method of improved BiBlock zero tree coding (IBBZTC) and the method of feature spectral vector quantization (FSVQ), the peak signal-to-noise ratio (PSNR) of this method can enhance over 9 dB, and the total compression performance is improved greatly. 展开更多
关键词 Classification (of information) image coding Signal to noise ratio Vector quantization Wavelet transforms
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REMOTE SENSING IMAGE CODING METHOD COMBINING WAVELET TRANSFORM WITH CLASSIFIED VECTOR QUANTIZATION
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作者 张正阳 吴成柯 《Chinese Journal of Aeronautics》 SCIE EI CSCD 1998年第3期55-60,共6页
A new remote sensing image coding scheme based on the wavelet transform and classified vector quantization (CVQ) is proposed. The original image is first decomposed into a hierarchy of 3 layers including 10 subimages ... A new remote sensing image coding scheme based on the wavelet transform and classified vector quantization (CVQ) is proposed. The original image is first decomposed into a hierarchy of 3 layers including 10 subimages by DWT. The lowest frequency subimage is compressed by scalar quantization and ADPCM. The high frequency subimages are compressed by CVQ to utilize the similarity among different resolutions while improving the edge quality and reducing computational complexity. The experimental results show that the proposed scheme has a better performance than JPEG, and a PSNR of reconstructed image is 31~33 dB with a rate of 0.2 bpp. 展开更多
关键词 remote sensing image coding wavelet transform classified vector quantization
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Fast 2-D 8×8 discrete cosine transform algorithm for image coding
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作者 JI XiuHua ZHANG CaiMing +1 位作者 WANG JiaYe BOEY S. H. 《Science in China(Series F)》 2009年第2期215-225,共11页
A new fast two-dimension 8×8 discrete cosine transform (2D 8×8 DCT) algorithm based on the characteristics of the basic images of 2D DCT is presented. The new algorithm computes each DCT coefficient in tur... A new fast two-dimension 8×8 discrete cosine transform (2D 8×8 DCT) algorithm based on the characteristics of the basic images of 2D DCT is presented. The new algorithm computes each DCT coefficient in turn more independently. Hence, the new algorithm is suitable for 2D DCT pruning algorithm of pruning away any number of high-frequency components of 2D DCT. The proposed pruning algorithm is more efficient than the existing pruning 2D DCT algorithms in terms of the number of arithmetic operations, especially the number of multiplications required in the computation. 展开更多
关键词 discrete cosine transform basic image QUANTIZATION image coding
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A New Region-of-interest Coding Method to Control the Relative Quality of Progressive Decoded Images 被引量:2
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作者 李继良 方向忠 张冬冬 《Journal of Shanghai Jiaotong university(Science)》 EI 2007年第4期477-480,共4页
Based on the ideas of controlling relative quality and rearranging bitplanes, a new ROI coding method for JPEG2000 was proposed, which shifts and rearranges bitplanes in units of bitplane groups. It can code arbitrary... Based on the ideas of controlling relative quality and rearranging bitplanes, a new ROI coding method for JPEG2000 was proposed, which shifts and rearranges bitplanes in units of bitplane groups. It can code arbitrary shaped ROI without shape coding, and reserve almost arbitrary percent of background information. It also can control the relative quality of progressive decoded images. In addition, it is easy to be implemented and has low computational cost. 展开更多
关键词 region of INTEREST (ROI) image coding JPEG2000 transform domain
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Low complexity DCT-based distributed source coding with Gray code for hyperspectral images 被引量:1
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作者 Rongke Liu Jianrong Wang Xuzhou Pan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第6期927-933,共7页
To compress hyperspectral images, a low complexity discrete cosine transform (DCT)-based distributed source coding (DSC) scheme with Gray code is proposed. Unlike most of the existing DSC schemes, which utilize tr... To compress hyperspectral images, a low complexity discrete cosine transform (DCT)-based distributed source coding (DSC) scheme with Gray code is proposed. Unlike most of the existing DSC schemes, which utilize transform in spatial domain, the proposed algorithm applies transform in spectral domain. Set-partitioning-based approach is applied to reorganize DCT coefficients into waveletlike tree structure and extract the sign, refinement, and significance bitplanes. The extracted refinement bits are Gray encoded. Because of the dependency along the line dimension of hyperspectral images, low density paritycheck-(LDPC)-based Slepian-Wolf coder is adopted to implement the DSC strategy. Experimental results on airborne visible/infrared imaging spectrometer (AVIRIS) dataset show that the proposed paradigm achieves up to 6 dB improvement over DSC-based coders which apply transform in spatial domain, with significantly reduced computational complexity and memory storage. 展开更多
关键词 image compression hyperspectral images distributed source coding (DSC) discrete cosine transform (DCT) Gray code band-interleaved-by-pixel (BIP).
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Fractal Image Coding in Lapped Transform Domain
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作者 高西奇 洪波 +1 位作者 张辉 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1997年第2期24-28,共5页
Lapped transforms are introduced into fractal image coding to remove the block effects which exist in conventional block based fractal image compression both in spatial and frequency domains. The proposed method offe... Lapped transforms are introduced into fractal image coding to remove the block effects which exist in conventional block based fractal image compression both in spatial and frequency domains. The proposed method offers not only an efficient solution to such block effects but also better objective performances. Compared with the fractal image compression methods based on discrete cosine transform, about 1 dB SNR gains can be achieved. 展开更多
关键词 FRACTAL image coding SUBBAND analysis/synthesis system COSINE modulated filter banks discrete COSINE transform
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Image Coding Using Wavelet Transform and EntropyConstrained Vector Quantization with Quadtree Structure Vectors
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作者 高西奇 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1996年第1期19-24,共6页
This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients... This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients at all the high frequency bands with 展开更多
关键词 WAVELET transform ENTROPY constrained VECTOR QUANTIZATION QUADTREE structure VECTOR image coding
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METHOD OF VECTOR QUANTIZATION CODING USING RECTANGULAR TRANSFORM FOR IMAGE COMPRESSION
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作者 汪凯 宋国文 《Journal of Electronics(China)》 1990年第4期289-295,共7页
First of all a simple and practical rectangular transform is given,and then thevector quantization technique which is rapidly developing recently is introduced.We combinethe rectangular transform with vector quantizat... First of all a simple and practical rectangular transform is given,and then thevector quantization technique which is rapidly developing recently is introduced.We combinethe rectangular transform with vector quantization technique for image data compression.Thecombination cuts down the dimensions of vector coding.The size of the codebook can reasonablybe reduced.This method can reduce the computation complexity and pick up the vector codingprocess.Experiments using image processing system show that this method is very effective inthe field of image data compression. 展开更多
关键词 image processing RECTANGULAR transform VECTOR QUANTIZATION Data compression coding
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Medical Image Compression Using Wrapping Based Fast Discrete Curvelet Transform and Arithmetic Coding
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作者 P. Anandan R. S. Sabeenian 《Circuits and Systems》 2016年第8期2059-2069,共11页
Due to the development of CT (Computed Tomography), MRI (Magnetic Resonance Imaging), PET (Positron Emission Tomography), EBCT (Electron Beam Computed Tomography), SMRI (Stereotactic Magnetic Resonance Imaging), etc. ... Due to the development of CT (Computed Tomography), MRI (Magnetic Resonance Imaging), PET (Positron Emission Tomography), EBCT (Electron Beam Computed Tomography), SMRI (Stereotactic Magnetic Resonance Imaging), etc. has enhanced the distinguishing rate and scanning rate of the imaging equipments. The diagnosis and the process of getting useful information from the image are got by processing the medical images using the wavelet technique. Wavelet transform has increased the compression rate. Increasing the compression performance by minimizing the amount of image data in the medical images is a critical task. Crucial medical information like diagnosing diseases and their treatments is obtained by modern radiology techniques. Medical Imaging (MI) process is used to acquire that information. For lossy and lossless image compression, several techniques were developed. Image edges have limitations in capturing them if we make use of the extension of 1-D wavelet transform. This is because wavelet transform cannot effectively transform straight line discontinuities, as well geographic lines in natural images cannot be reconstructed in a proper manner if 1-D transform is used. Differently oriented image textures are coded well using Curvelet Transform. The Curvelet Transform is suitable for compressing medical images, which has more curvy portions. This paper describes a method for compression of various medical images using Fast Discrete Curvelet Transform based on wrapping technique. After transformation, the coefficients are quantized using vector quantization and coded using arithmetic encoding technique. The proposed method is tested on various medical images and the result demonstrates significant improvement in performance parameters like Peak Signal to Noise Ratio (PSNR) and Compression Ratio (CR). 展开更多
关键词 Medical image Compression Discrete Curvelet transform Fast Discrete Curvelet transform Arithmetic coding Peak Signal to Noise Ratio Compression Ratio
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Global receptive field transformer decoder method on quantum surface code data and syndrome error correction 被引量:1
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作者 Ao-Qing Li Ce-Wen Tian +2 位作者 Xiao-Xuan Xu Hong-Yang Ma Jun-Qing Liang 《Chinese Physics B》 2025年第3期267-276,共10页
Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation.However,the high sensitivity of qubits to environmental interference and the high error rates in cu... Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation.However,the high sensitivity of qubits to environmental interference and the high error rates in current quantum devices exceed the error correction thresholds required for effective algorithm execution.Therefore,quantum error correction technology is crucial to achieving reliable quantum computing.In this work,we study a topological surface code with a two-dimensional lattice structure that protects quantum information by introducing redundancy across multiple qubits and using syndrome qubits to detect and correct errors.However,errors can occur not only in data qubits but also in syndrome qubits,and different types of errors may generate the same syndromes,complicating the decoding task and creating a need for more efficient decoding methods.To address this challenge,we used a transformer decoder based on an attention mechanism.By mapping the surface code lattice,the decoder performs a self-attention process on all input syndromes,thereby obtaining a global receptive field.The performance of the decoder was evaluated under a phenomenological error model.Numerical results demonstrate that the decoder achieved a decoding accuracy of 93.8%.Additionally,we obtained decoding thresholds of 5%and 6.05%at maximum code distances of 7 and 9,respectively.These results indicate that the decoder used demonstrates a certain capability in correcting noise errors in surface codes. 展开更多
关键词 quantum error correction surface code transformer decoder
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Huffman-Code-Based Ternary Tree Transformation
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作者 Qing-Song Li Huan-Yu Liu +2 位作者 Qingchun Wang Yu-Chun Wu Guo-Ping Guo 《Chinese Physics Letters》 2025年第10期1-12,共12页
Using a quantum computer to simulate fermionic systems requires fermion-to-qubit transformations.Usually,lower Pauli weight of transformations means shallower quantum circuits.Therefore,most existing transformations a... Using a quantum computer to simulate fermionic systems requires fermion-to-qubit transformations.Usually,lower Pauli weight of transformations means shallower quantum circuits.Therefore,most existing transformations aim for lower Pauli weight.However,in some cases,the circuit depth depends not only on the Pauli weight but also on the coefficients of the Hamiltonian terms.In order to characterize the circuit depth of these algorithms,we propose a new metric called weighted Pauli weight,which depends on Pauli weight and coefficients of Hamiltonian terms.To achieve smaller weighted Pauli weight,we introduce a novel transformation,Huffman-code-based ternary tree(HTT)transformation,which is built upon the classical Huffman code and tailored to different Hamiltonians.We tested various molecular Hamiltonians and the results show that the weighted Pauli weight of the HTT transformation is smaller than that of commonly used mappings.At the same time,the HTT transformation also maintains a relatively small Pauli weight.The mapping we designed reduces the circuit depth of certain Hamiltonian simulation algorithms,facilitating faster simulation of fermionic systems. 展开更多
关键词 quantum computer weighted pauli weightwhich Huffman code based ternary tree transformation simulate fermionic systems fermion qubit transformations characterize circuit depth hamiltonian termsin fermionic systems
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VLSI Implementation of a Wavelet Image Coder
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作者 乔世杰 王国裕 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2002年第7期695-700,共6页
A modular architecture for two dimension (2 D) discrete wavelet transform (DWT) is designed.The image data can be wavelet transformed in real time,and the structure can be easily scaled up to higher levels of DWT.A f... A modular architecture for two dimension (2 D) discrete wavelet transform (DWT) is designed.The image data can be wavelet transformed in real time,and the structure can be easily scaled up to higher levels of DWT.A fast zerotree image coding (FZIC) algorithm is proposed by using a simple sequential scan order and two flag maps.The VLSI structure for FZIC is then presented.By combining 2 D DWT and FZIC,a wavelet image coder is finally designed.The coder is programmed,simulated,synthesized,and successfully verified by ALTERA CPLD. 展开更多
关键词 discrete wavelet transform zerotree image coding VLSI Verilog HDL CPLD
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Transformer网络在集装箱箱号自动识别中的应用
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作者 张明 涂昊 +1 位作者 程文明 杜润 《机械设计与制造》 北大核心 2026年第3期206-209,214,共5页
集装箱作为现代物流中最重要的载体之一,其箱号的自动识别技术对于提高集装箱码头的自动化和信息化程度起着至关重要的作用。然而,现有的研究并不能够满足码头实时、准确地识别集装箱箱号的要求。因此,我们提出了一种轻量化的箱号识别... 集装箱作为现代物流中最重要的载体之一,其箱号的自动识别技术对于提高集装箱码头的自动化和信息化程度起着至关重要的作用。然而,现有的研究并不能够满足码头实时、准确地识别集装箱箱号的要求。因此,我们提出了一种轻量化的箱号识别算法。该方法分为两个模块:定位模块与识别模块。在定位模块中,基于YOLO v3算法进行改进,提出了一个新的轻量化定位网络—swift-YOLO;在识别模块中,设计了基于Transformer的字符识别网络对箱号进行识别。实验结果表明,所提方法识别成功率达到了98.3%,且单帧识别时间仅为20ms,显著优于现有的最佳结果。 展开更多
关键词 深度学习 集装箱箱号 字符识别 目标检测 transformer网络
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Wavelet-Based Mixed-Resolution Coding Approach Incorporating with SPT for the Stereo Image
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作者 Xu, C. Zhang, Z. An, P. 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第3期39-44,共6页
With the advances of display technology, three-dimensional(3-D) imaging systems are becoming increasingly popular. One way of stimulating 3-D perception is to use stereo pairs, a pair of images of the same scene acqui... With the advances of display technology, three-dimensional(3-D) imaging systems are becoming increasingly popular. One way of stimulating 3-D perception is to use stereo pairs, a pair of images of the same scene acquired from different perspectives. Since there is an inherent redundancy between the images of a stereo pairs, data compression algorithms should be employed to represent stereo pairs efficiently. The proposed techniques generally use block-based disparity compensation. In order to get the higher compression ratio, this paper employs the wavelet-based mixed-resolution coding technique to incorporate with SPT-based disparity-compensation to compress the stereo image data. The mixed-resolution coding is a perceptually justified technique that is achieved by presenting one eye with a low-resolution image and the other with a high-resolution image. Psychophysical experiments show that the stereo image pairs with one high-resolution image and one low-resolution image provide almost the same stereo depth to that of a stereo image with two high-resolution images. By combining the mixed-resolution coding and SPT-based disparity-compensation techniques, one reference (left) high-resolution image can be compressed by a hierarchical wavelet transform followed by vector quantization and Huffman encoder. After two level wavelet decompositions, for the low-resolution right image and low-resolution left image, subspace projection technique using the fixed block size disparity compensation estimation is used. At the decoder, the low-resolution right subimage is estimated using the disparity from the low-resolution left subimage. A full-size reconstruction is obtained by upsampling a factor of 4 and reconstructing with the synthesis low pass filter. Finally, experimental results are presented, which show that our scheme achieves a PSNR gain (about 0.92dB) as compared to the current block-based disparity compensation coding techniques. 展开更多
关键词 Data reduction DEcoding image coding image compression image reconstruction imaging techniques Motion compensation Motion estimation Optical resolving power Projection systems Stereo vision Wavelet transforms
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A Novel Coding Method Based on Fuzzy Vector Quantization for Noised Image
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作者 Li Yibing ,Lou Zhe, Jiang Tao & Si Xicai Dept. of Eledronic Eng., Harbin Engineering University 150001, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第2期87-91,共5页
In this paper a novel coding method based on fuzzy vector quantization for noised image with Gaussian white-noise pollution is presented. By restraining the high frequency subbands of wavelet image the noise is signif... In this paper a novel coding method based on fuzzy vector quantization for noised image with Gaussian white-noise pollution is presented. By restraining the high frequency subbands of wavelet image the noise is significantly removed and coded with fuzzy vector quantization. The experimental result shows that the method can not only achieve high compression ratio but also remove noise dramatically. 展开更多
关键词 Fuzzy sets Gaussian noise (electronic) image coding image compression Integral equations Vector quantization Wavelet transforms White noise
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基于白盒Transformer与稀疏优化无监督实例分割
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作者 严格 刘进锋 《计算机技术与发展》 2026年第4期61-68,共8页
无监督实例分割旨在不依赖人工标注数据的前提下实现目标对象的定位与分割,在大规模视觉场景分析中具有重要应用前景,但其性能受限于目标区域定位模糊与特征提取冗余等问题。现有方法虽通过标准视觉transformer实现无监督学习,但是传统t... 无监督实例分割旨在不依赖人工标注数据的前提下实现目标对象的定位与分割,在大规模视觉场景分析中具有重要应用前景,但其性能受限于目标区域定位模糊与特征提取冗余等问题。现有方法虽通过标准视觉transformer实现无监督学习,但是传统transformer的黑盒特性导致的可解释性差,难以精准捕捉目标边界;此外,基于resnet50骨干网络的探测器特征提取存在冗余信息,干扰实例分割的完整性。为此,该文提出了一种基于白盒transformer与稀疏优化的无监督实例分割方法。首先,利用白盒transformer内在的数学可解释性与特征涌现机制,提升初始对象掩码的生成质量。其次,使用卷积稀疏编码模块,通过引入稀疏先验优化局部特征表达,增强模型对局部细节的建模能力和抗噪声干扰的鲁棒性。在通用数据集MS COCO val2017和MS COCO 20K上对其进行实验验证和分析,该模型的AP_(50)^(mask)值分别达到了19.7%和20.3%,并可以有效地改善目标被遮挡或重叠时分割精度低的问题,提升无监督实例分割精度。 展开更多
关键词 无监督学习 实例分割 白盒transformer 稀疏编码 可解释性
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Blind reconstruction of convolutional code based on segmented Walsh-Hadamard transform 被引量:13
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作者 Fenghua Wang Hui Xie Zhitao Huang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第5期748-754,共7页
Walsh-Hadamard transform (WriT) can solve linear error equations on Field F2, and the method can be used to recover the parameters of convolutional code. However, solving the equations with many unknowns needs enorm... Walsh-Hadamard transform (WriT) can solve linear error equations on Field F2, and the method can be used to recover the parameters of convolutional code. However, solving the equations with many unknowns needs enormous computer memory which limits the application of WriT. In order to solve this problem, a method based on segmented WriT is proposed in this paper. The coefficient vector of high dimension is reshaped and two vectors of lower dimension are obtained. Then the WriT is operated and the requirement for computer memory is much reduced. The code rate and the constraint length of convolutional code are detected from the Walsh spectrum. And the check vector is recovered from the peak position. The validity of the method is verified by the simulation result, and the performance is proved to be optimal. 展开更多
关键词 convolutional code blind reconstruction Walsh-Hadamard transform (WriT) tinear error equation.
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An Efficient Bar Code Image Recognition Algorithm for Sorting System 被引量:9
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作者 Desheng Zheng Ziyong Ran +2 位作者 Zhifeng Liu Liang Li Lulu Tian 《Computers, Materials & Continua》 SCIE EI 2020年第9期1885-1895,共11页
In the sorting system of the production line,the object movement,fixed angle of view,light intensity and other reasons lead to obscure blurred images.It results in bar code recognition rate being low and real time bei... In the sorting system of the production line,the object movement,fixed angle of view,light intensity and other reasons lead to obscure blurred images.It results in bar code recognition rate being low and real time being poor.Aiming at the above problems,a progressive bar code compressed recognition algorithm is proposed.First,assuming that the source image is not tilted,use the direct recognition method to quickly identify the compressed source image.Failure indicates that the compression ratio is improper or the image is skewed.Then,the source image is enhanced to identify the source image directly.Finally,the inclination of the compressed image is detected by the barcode region recognition method and the source image is corrected to locate the barcode information in the barcode region recognition image.The results of multitype image experiments show that the proposed method is improved by 5+times computational efficiency compared with the former methods,and can recognize fuzzy images better. 展开更多
关键词 Bar code recognition Hough transformation BINARIZATION image processing
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Multiple description scalable video coding based on 3D lifted wavelet transform 被引量:3
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作者 KIM Yong-deak 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第5期857-863,共7页
In this work, a new method to deal with the unconnected pixels in motion compensated temporal filtering (MCTF) is presented, which is designed to improve the performance of 3D lifted wavelet coding. Furthermore, multi... In this work, a new method to deal with the unconnected pixels in motion compensated temporal filtering (MCTF) is presented, which is designed to improve the performance of 3D lifted wavelet coding. Furthermore, multiple description scalable coding (MDSC) is investigated, and novel MDSC schemes based on 3D wavelet coding are proposed, using the lifting imple- mentation of temporal filtering. The proposed MDSC schemes can avoid the mismatch problem in multiple description video coding, and have high scalability and robustness of video transmission. Experimental results showed that the proposed schemes are feasible and adequately effective. 展开更多
关键词 Multiple DESCRIPTION SCALABLE coding (MDSC) MOTION compensated temporal filtering (MCTF) Block-split bidi-rectional MOTION estimation 3D lifted WAVELET transform
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