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LR-Net:Lossless Feature Fusion and Revised SIoU for Small Object Detection
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作者 Gang Li Ru Wang +5 位作者 Yang Zhang Chuanyun Xu Xinyu Fan Zheng Zhou Pengfei Lv Zihan Ruan 《Computers, Materials & Continua》 2025年第11期3267-3288,共22页
Currently,challenges such as small object size and occlusion lead to a lack of accuracy and robustness in small object detection.Since small objects occupy only a few pixels in an image,the extracted features are limi... Currently,challenges such as small object size and occlusion lead to a lack of accuracy and robustness in small object detection.Since small objects occupy only a few pixels in an image,the extracted features are limited,and mainstream downsampling convolution operations further exacerbate feature loss.Additionally,due to the occlusionprone nature of small objects and their higher sensitivity to localization deviations,conventional Intersection over Union(IoU)loss functions struggle to achieve stable convergence.To address these limitations,LR-Net is proposed for small object detection.Specifically,the proposed Lossless Feature Fusion(LFF)method transfers spatial features into the channel domain while leveraging a hybrid attentionmechanism to focus on critical features,mitigating feature loss caused by downsampling.Furthermore,RSIoU is proposed to enhance the convergence performance of IoU-based losses for small objects.RSIoU corrects the inherent convergence direction issues in SIoU and proposes a penalty term as a Dynamic Focusing Mechanism parameter,enabling it to dynamically emphasize the loss contribution of small object samples.Ultimately,RSIoU significantly improves the convergence performance of the loss function for small objects,particularly under occlusion scenarios.Experiments demonstrate that LR-Net achieves significant improvements across variousmetrics onmultiple datasets compared with YOLOv8n,achieving a 3.7% increase in mean Average Precision(AP)on the VisDrone2019 dataset,along with improvements of 3.3% on the AI-TOD dataset and 1.2% on the COCO dataset. 展开更多
关键词 Small object detection lossless feature fusion attention mechanisms loss function penalty term
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Quantitative Comparative Study of the Performance of Lossless Compression Methods Based on a Text Data Model
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作者 Namogo Silué Sié Ouattara +1 位作者 Mouhamadou Dosso Alain Clément 《Open Journal of Applied Sciences》 2024年第7期1944-1962,共19页
Data compression plays a key role in optimizing the use of memory storage space and also reducing latency in data transmission. In this paper, we are interested in lossless compression techniques because their perform... Data compression plays a key role in optimizing the use of memory storage space and also reducing latency in data transmission. In this paper, we are interested in lossless compression techniques because their performance is exploited with lossy compression techniques for images and videos generally using a mixed approach. To achieve our intended objective, which is to study the performance of lossless compression methods, we first carried out a literature review, a summary of which enabled us to select the most relevant, namely the following: arithmetic coding, LZW, Tunstall’s algorithm, RLE, BWT, Huffman coding and Shannon-Fano. Secondly, we designed a purposive text dataset with a repeating pattern in order to test the behavior and effectiveness of the selected compression techniques. Thirdly, we designed the compression algorithms and developed the programs (scripts) in Matlab in order to test their performance. Finally, following the tests conducted on relevant data that we constructed according to a deliberate model, the results show that these methods presented in order of performance are very satisfactory:- LZW- Arithmetic coding- Tunstall algorithm- BWT + RLELikewise, it appears that on the one hand, the performance of certain techniques relative to others is strongly linked to the sequencing and/or recurrence of symbols that make up the message, and on the other hand, to the cumulative time of encoding and decoding. 展开更多
关键词 Arithmetic Coding BWT Compression Ratio Comparative Study Compression Techniques Shannon-Fano HUFFMAN lossless Compression LZW PERFORMANCE REDUNDANCY RLE Text Data Tunstall
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PC-bzip2: a phase-space continuity-enhanced lossless compression algorithm for light-field microscopy data
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作者 Changqing Su Zihan Lin +4 位作者 You Zhou Shuai Wang Yuhan Gao Chenggang Yan Bo Xiong 《Advanced Photonics Nexus》 2024年第3期40-49,共10页
Light-field fluorescence microscopy(LFM)is a powerful elegant compact method for long-term highspeed imaging of complex biological systems,such as neuron activities and rapid movements of organelles.LFM experiments ty... Light-field fluorescence microscopy(LFM)is a powerful elegant compact method for long-term highspeed imaging of complex biological systems,such as neuron activities and rapid movements of organelles.LFM experiments typically generate terabytes of image data and require a substantial amount of storage space.Some lossy compression algorithms have been proposed recently with good compression performance.However,since the specimen usually only tolerates low-power density illumination for longterm imaging with low phototoxicity,the image signal-to-noise ratio(SNR)is relatively low,which will cause the loss of some efficient position or intensity information using such lossy compression algorithms.Here,we propose a phase-space continuity-enhanced bzip2(PC-bzip2)lossless compression method for LFM data as a high-efficiency and open-source tool that combines graphics processing unit-based fast entropy judgment and multicore-CPU-based high-speed lossless compression.Our proposed method achieves almost 10%compression ratio improvement while keeping the capability of high-speed compression,compared with the original bzip2.We evaluated our method on fluorescence beads data and fluorescence staining cells data with different SNRs.Moreover,by introducing temporal continuity,our method shows the superior compression ratio on time series data of zebrafish blood vessels. 展开更多
关键词 light-field microscopy lossless compression phase space entropy judgment.
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Improved Lossless Data Hiding for JPEG Images Based on Histogram Modification 被引量:3
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作者 Yang Du Zhaoxia Yin Xinpeng Zhang 《Computers, Materials & Continua》 SCIE EI 2018年第6期495-507,共13页
This paper proposes a lossless and high payload data hiding scheme for JPEG images by histogram modification.The most in JPEG bitstream consists of a sequence of VLCs(variable length codes)and the appended bits.Each V... This paper proposes a lossless and high payload data hiding scheme for JPEG images by histogram modification.The most in JPEG bitstream consists of a sequence of VLCs(variable length codes)and the appended bits.Each VLC has a corresponding RLV(run/length value)to record the AC/DC coefficients.To achieve lossless data hiding with high payload,we shift the histogram of VLCs and modify the DHT segment to embed data.Since we sort the histogram of VLCs in descending order,the filesize expansion is limited.The paper’s key contribution includes:Lossless data hiding,less filesize expansion in identical pay-load and higher embedding efficiency. 展开更多
关键词 lossless data hiding HISTOGRAM VLC JPEG.
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A LOSSLESS COMPRESSION ALGORITHM OF REMOTE SENSING IMAGE FOR SPACE APPLICATIONS 被引量:3
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作者 Sui Yuping Yang Chengyu +3 位作者 Liu Yanjun Wang Jun Wei Zhonghui He Xin 《Journal of Electronics(China)》 2008年第5期647-651,共5页
A simple and adaptive lossless compression algorithm is proposed for remote sensing image compression, which includes integer wavelet transform and the Rice entropy coder. By analyzing the probability distribution of ... A simple and adaptive lossless compression algorithm is proposed for remote sensing image compression, which includes integer wavelet transform and the Rice entropy coder. By analyzing the probability distribution of integer wavelet transform coefficients and the characteristics of Rice entropy coder, the divide and rule method is used for high-frequency sub-bands and low-frequency one. High-frequency sub-bands are coded by the Rice entropy coder, and low-frequency coefficients are predicted before coding. The role of predictor is to map the low-frequency coefficients into symbols suitable for the entropy coding. Experimental results show that the average Comprcssion Ratio (CR) of our approach is about two, which is close to that of JPEG 2000. The algorithm is simple and easy to be implemented in hardware. Moreover, it has the merits of adaptability, and independent data packet. So the algorithm can adapt to space lossless compression applications. 展开更多
关键词 Remote sensing image lossless compression Rice entropy coder Integer Discrete Wavelet Transform (DWT)
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Second Generation Wavelet Applied to Lossless Compression Coding of Image 被引量:1
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作者 Yan Tang Yu-long Mo 《Advances in Manufacturing》 2000年第3期225-229,共5页
In this paper, the second generation wavelet transform is applied to image lossless coding, according to its characteristic of reversible integer wavelet transform. The second generation wavelet transform can provide ... In this paper, the second generation wavelet transform is applied to image lossless coding, according to its characteristic of reversible integer wavelet transform. The second generation wavelet transform can provide higher compression ratio than Huffman coding while it reconstructs image without loss compared with the first generation wavelet transform. The experimental results show that the se cond generation wavelet transform can obtain excellent performance in medical image compression coding. 展开更多
关键词 wavelet transform integer wavelet image compression lossless coding
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A Visual Lossless Image-Recompression Framework 被引量:1
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作者 Ping Lu Xia Jia +3 位作者 Hengliang Zhu Ming Liu Shouhong Ding Lizhuang Ma 《ZTE Communications》 2015年第2期36-40,共5页
In this paper, we propose a novel image recompression frame- work and image quality assessment (IQA) method to efficiently recompress Internet images. With this framework image size is significantly reduced without ... In this paper, we propose a novel image recompression frame- work and image quality assessment (IQA) method to efficiently recompress Internet images. With this framework image size is significantly reduced without affecting spatial resolution or perceptible quality of the image. With the help of IQA, the relationship between image quality and image evaluation scores can be quickly established, and the optimal quality factor can be obtained quickly and accurately within a pre - determined perceptual quality range. This process ensures the image's perceptual quality, which is applied to each input image. The test results show that, using the proposed method, the file size of images can be reduced by about 45%-60% without affecting their visual quality. Moreover, our new image -reeompression framework can be used in to many different application scenarios. 展开更多
关键词 image recompression image quality assessment user experience visual lossless
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Lossless Compression of SKA Data Sets 被引量:1
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作者 Karthik Rajeswaran Simon Winberg 《Communications and Network》 2013年第4期369-378,共10页
With the size of astronomical data archives continuing to increase at an enormous rate, the providers and end users of astronomical data sets will benefit from effective data compression techniques. This paper explore... With the size of astronomical data archives continuing to increase at an enormous rate, the providers and end users of astronomical data sets will benefit from effective data compression techniques. This paper explores different lossless data compression techniques and aims to find an optimal compression algorithm to compress astronomical data obtained by the Square Kilometre Array (SKA), which are new and unique in the field of radio astronomy. It was required that the compressed data sets should be lossless and that they should be compressed while the data are being read. The project was carried out in conjunction with the SKA South Africa office. Data compression reduces the time taken and the bandwidth used when transferring files, and it can also reduce the costs involved with data storage. The SKA uses the Hierarchical Data Format (HDF5) to store the data collected from the radio telescopes, with the data used in this study ranging from 29 MB to 9 GB in size. The compression techniques investigated in this study include SZIP, GZIP, the LZF filter, LZ4 and the Fully Adaptive Prediction Error Coder (FAPEC). The algorithms and methods used to perform the compression tests are discussed and the results from the three phases of testing are presented, followed by a brief discussion on those results. 展开更多
关键词 SQUARE Kilometre ARRAY lossless Compression HDF5
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A Global-Scale Image Lossless Compression Method Based on QTM Pixels 被引量:1
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作者 SUN Wen-bin ZHAO Xue-sheng 《Journal of China University of Mining and Technology》 2006年第4期466-469,共4页
In this paper, a new predictive model, adapted to QTM (Quaternary Triangular Mesh) pixel compression, is introduced. Our approach starts with the principles of proposed predictive models based on available QTM neighbo... In this paper, a new predictive model, adapted to QTM (Quaternary Triangular Mesh) pixel compression, is introduced. Our approach starts with the principles of proposed predictive models based on available QTM neighbor pixels. An algorithm of ascertaining available QTM neighbors is also proposed. Then, the method for reducing space complexities in the procedure of predicting QTM pixel values is presented. Next, the structure for storing compressed QTM pixel is proposed. In the end, the experiment on comparing compression ratio of this method with other methods is carried out by using three wave bands data of 1 km resolution of NOAA images in China. The results indicate that: 1) the compression method performs better than any other, such as Run Length Coding, Arithmetic Coding, Huffman Cod- ing, etc; 2) the average size of compressed three wave band data based on the neighbor QTM pixel predictive model is 31.58% of the origin space requirements and 67.5% of Arithmetic Coding without predictive model. 展开更多
关键词 Quaternary Triangular Mesh lossless compression predictive model image entropy
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Discrete (J,J′)-Lossless Factorization
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作者 Wang Kang Zheng Hairao Qiu Wei 《Wuhan University Journal of Natural Sciences》 CAS 1999年第1期17-22,共6页
Discrete (J,J′) lossless factorization is established by using conjugation.For stable case ,the existence of such factorization is equivalent to the existence of a positive solution of a Riccati equation. For un... Discrete (J,J′) lossless factorization is established by using conjugation.For stable case ,the existence of such factorization is equivalent to the existence of a positive solution of a Riccati equation. For unstable case ,the existence conditions can be reduced to the existence of two positive solution of two Riccati equations. 展开更多
关键词 DISCRETE (J J′) lossless factorization Riccati operator and equation
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Fast lossless color image compression method using perceptron
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作者 JiaKebin ZhangYanhua ZhuangXinyue 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第2期190-196,共7页
The technique of lossless image compression plays an important role in image transmission and storage for high quality. At present, both the compression ratio and processing speed should be considered in a real-time m... The technique of lossless image compression plays an important role in image transmission and storage for high quality. At present, both the compression ratio and processing speed should be considered in a real-time multimedia system. A novel lossless compression algorithm is researched. A low complexity predictive model is proposed using the correlation of pixels and color components. In the meantime, perceptron in neural network is used to rectify the prediction values adaptively. It makes the prediction residuals smaller and in a small dynamic scope. Also a color space transform is used and good decorrelation is obtained in our algorithm. The compared experimental results have shown that our algorithm has a noticeably better performance than traditional algorithms. Compared to the new standard JPEG-LS, this predictive model reduces its computational complexity. And its speed is faster than the JPEG-LS with negligible performance sacrifice. 展开更多
关键词 lossless compression PERCEPTRON prediction model correlation.
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Lossless Data Hiding Scheme Based on VQ Index Coding
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作者 Chin-Feng Lee Ming-Chi Shih 《Journal of Electronic Science and Technology》 CAS 2013年第1期27-32,共6页
Lossless data hiding can restore the original status of cover media after embedded secret data are extracted. In 2010, Wang et al. proposed a lossless data hiding scheme which hides secret data in vector quantization ... Lossless data hiding can restore the original status of cover media after embedded secret data are extracted. In 2010, Wang et al. proposed a lossless data hiding scheme which hides secret data in vector quantization (VQ) indices, but the encoding strategies adopted by their scheme expand the final codestream. This paper designs four embedding and encoding strategies to improve Wang et aL's scheme. The experiment result of the proposed scheme compared with that of the Wang et aL's scheme reduces the bit rates of the final codestream by 4.6% and raises the payload by 1.09% on average. 展开更多
关键词 Bit rate lossless data hiding PAYLOAD vector quantization vector quantization index table.
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Strong observability as a sufficient condition for non-singularity and lossless convexification in optimal control with mixed constraints
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作者 Sheril Kunhippurayil Matthew W.Harris 《Control Theory and Technology》 EI CSCD 2022年第4期475-487,共13页
This paper analyzes optimal control problems with linear time-varying dynamics defined on a smooth manifold in addition to mixed constraints and pure control constraints.The main contribution is the identification of ... This paper analyzes optimal control problems with linear time-varying dynamics defined on a smooth manifold in addition to mixed constraints and pure control constraints.The main contribution is the identification of sufficient conditions for the optimal controls to be non-singular,which enables exact(or lossless)convex relaxations of the control constraints.The problem is analyzed in a geometric framework using a recent maximum principle on manifolds,and it is shown that strong observability of the dual system on the cotangent space is the key condition.Two minimum time problems are analyzed and solved.A minimum fuel planetary descent problem is then analyzed and relaxed to a convex form.Convexity enables its efficient solution in less than one second without any initial guess. 展开更多
关键词 Optimal control Strong observability lossless convexification
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Congestion Control Using In-Network Telemetry for Lossless Datacenters
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作者 Jin Wang Dongzhi Yuan +3 位作者 Wangqing Luo Shuying Rao R.Simon Sherratt Jinbin Hu 《Computers, Materials & Continua》 SCIE EI 2023年第4期1195-1212,共18页
In the Ethernet lossless Data Center Networks (DCNs) deployedwith Priority-based Flow Control (PFC), the head-of-line blocking problemis still difficult to prevent due to PFC triggering under burst trafficscenarios ev... In the Ethernet lossless Data Center Networks (DCNs) deployedwith Priority-based Flow Control (PFC), the head-of-line blocking problemis still difficult to prevent due to PFC triggering under burst trafficscenarios even with the existing congestion control solutions. To addressthe head-of-line blocking problem of PFC, we propose a new congestioncontrol mechanism. The key point of Congestion Control Using In-NetworkTelemetry for Lossless Datacenters (ICC) is to use In-Network Telemetry(INT) technology to obtain comprehensive congestion information, which isthen fed back to the sender to adjust the sending rate timely and accurately.It is possible to control congestion in time, converge to the target rate quickly,and maintain a near-zero queue length at the switch when using ICC. Weconducted Network Simulator-3 (NS-3) simulation experiments to test theICC’s performance. When compared to Congestion Control for Large-ScaleRDMA Deployments (DCQCN), TIMELY: RTT-based Congestion Controlfor the Datacenter (TIMELY), and Re-architecting Congestion Managementin Lossless Ethernet (PCN), ICC effectively reduces PFC pause messages andFlow Completion Time (FCT) by 47%, 56%, 34%, and 15.3×, 14.8×, and11.2×, respectively. 展开更多
关键词 Data center lossless networks congestion control head of line blocking in-network telemetry
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Lossless compression of digital mammography using base switching method
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作者 Ravi kumar Mulemajalu Shivaprakash Koliwad 《Journal of Biomedical Science and Engineering》 2009年第5期336-344,共9页
Mammography is a specific type of imaging that uses low-dose x-ray system to examine breasts. This is an efficient means of early detection of breast cancer. Archiving and retaining these data for at least three years... Mammography is a specific type of imaging that uses low-dose x-ray system to examine breasts. This is an efficient means of early detection of breast cancer. Archiving and retaining these data for at least three years is expensive, diffi-cult and requires sophisticated data compres-sion techniques. We propose a lossless com-pression method that makes use of the smoothness property of the images. In the first step, de-correlation of the given image is done using two efficient predictors. The two residue images are partitioned into non overlapping sub-images of size 4x4. At every instant one of the sub-images is selected and sent for coding. The sub-images with all zero pixels are identi-fied using one bit code. The remaining sub- images are coded by using base switching method. Special techniques are used to save the overhead information. Experimental results indicate an average compression ratio of 6.44 for the selected database. 展开更多
关键词 lossless Compression MAMMOGRAPHY IMAGE Prediction STORAGE SPACE
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THE TECHNIQUE OF QUASI-LOSSLESS COMPRESSION OF THE REMOTE SENSING IMAGE
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作者 hu qingwu 《Geo-Spatial Information Science》 2001年第1期50-55,共6页
In this paper,the technique of quasi_lossless compression based on the image restoration is presented.The technique of compression described in the paper includes three steps,namely bit compression,correlation removin... In this paper,the technique of quasi_lossless compression based on the image restoration is presented.The technique of compression described in the paper includes three steps,namely bit compression,correlation removing and image restoration based on the theory of modulation transfer function (MTF).The quasi_lossless compression comes to a high speed.The quality of the reconstruction image under restoration is up to par of the quasi_lossless with higher compression ratio.The experiments of the TM and SPOT images show that the technique is reasonable and applicable. 展开更多
关键词 quasi-lossless compression image RESTORATION FIDELITY PEAK value signal-noise ratio edge CURVE line SPREAD function
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Perceptually Lossless Compression for Mastcam Multispectral Images: A Comparative Study
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作者 Chiman Kwan Jude Larkin 《Journal of Signal and Information Processing》 2019年第4期139-166,共28页
The two mast cameras, Mastcams, onboard Mars rover Curiosity are multispectral imagers with nine bands in each. Currently, the images are compressed losslessly using JPEG, which can achieve only two to three times of ... The two mast cameras, Mastcams, onboard Mars rover Curiosity are multispectral imagers with nine bands in each. Currently, the images are compressed losslessly using JPEG, which can achieve only two to three times of compression. We present a comparative study of four approaches to compressing multispectral Mastcam images. The first approach is to divide the nine bands into three groups with each group having three bands. Since the multispectral bands have strong correlation, we treat the three groups of images as video frames. We call this approach the Video approach. The second approach is to compress each group separately and we call it the split band (SB) approach. The third one is to apply a two-step approach in which the first step uses principal component analysis (PCA) to compress a nine-band image cube to six bands and a second step compresses the six PCA bands using conventional codecs. The fourth one is to apply PCA only. In addition, we also present subjective and objective assessment results for compressing RGB images because RGB images have been used for stereo and disparity map generation. Five well-known compression codecs, including JPEG, JPEG-2000 (J2K), X264, X265, and Daala in the literature, have been applied and compared in each approach. The performance of different algorithms was assessed using four well-known performance metrics. Two are conventional and another two are known to have good correlation with human perception. Extensive experiments using actual Mastcam images have been performed to demonstrate the various approaches. We observed that perceptually lossless compression can be achieved at 10:1 compression ratio. In particular, the performance gain of the SB approach with Daala is at least 5 dBs in terms peak signal-to-noise ratio (PSNR) at 10:1 compression ratio over that of JPEG. Subjective comparisons also corroborated with the objective metrics in that perceptually lossless compression can be achieved even at 20 to 1 compression. 展开更多
关键词 Perceptually lossless Compression Mastcam Images JPEG J2K X264 X265 Daala MULTISPECTRAL PCA VIDEO Compression
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A New Method Which Combines Arithmetic Coding with RLE for Lossless Image Compression
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作者 Med Karim Abdmouleh Atef Masmoudi Med Salim Bouhlel 《Journal of Software Engineering and Applications》 2012年第1期41-44,共4页
This paper presents a new method of lossless image compression. An image is characterized by homogeneous parts. The bit planes, which are of high weight are characterized by sequences of 0 and 1 are successive encoded... This paper presents a new method of lossless image compression. An image is characterized by homogeneous parts. The bit planes, which are of high weight are characterized by sequences of 0 and 1 are successive encoded with RLE, whereas the other bit planes are encoded by the arithmetic coding (AC) (static or adaptive model). By combining an AC (adaptive or static) with the RLE, a high degree of adaptation and compression efficiency is achieved. The proposed method is compared to both static and adaptive model. Experimental results, based on a set of 12 gray-level images, demonstrate that the proposed scheme gives mean compression ratio that are higher those compared to the conventional arithmetic encoders. 展开更多
关键词 Adaptive ARITHMETIC CODING Static ARITHMETIC CODING ARITHMETIC CODING lossless Compression Image RUN Length ENCODING
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New Results in Perceptually Lossless Compression of Hyperspectral Images
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作者 Chiman Kwan Jude Larkin 《Journal of Signal and Information Processing》 2019年第3期96-124,共29页
Hyperspectral images (HSI) have hundreds of bands, which impose heavy burden on data storage and transmission bandwidth. Quite a few compression techniques have been explored for HSI in the past decades. One high perf... Hyperspectral images (HSI) have hundreds of bands, which impose heavy burden on data storage and transmission bandwidth. Quite a few compression techniques have been explored for HSI in the past decades. One high performing technique is the combination of principal component analysis (PCA) and JPEG-2000 (J2K). However, since there are several new compression codecs developed after J2K in the past 15 years, it is worthwhile to revisit this research area and investigate if there are better techniques for HSI compression. In this paper, we present some new results in HSI compression. We aim at perceptually lossless compression of HSI. Perceptually lossless means that the decompressed HSI data cube has a performance metric near 40 dBs in terms of peak-signal-to-noise ratio (PSNR) or human visual system (HVS) based metrics. The key idea is to compare several combinations of PCA and video/ image codecs. Three representative HSI data cubes were used in our studies. Four video/image codecs, including J2K, X264, X265, and Daala, have been investigated and four performance metrics were used in our comparative studies. Moreover, some alternative techniques such as video, split band, and PCA only approaches were also compared. It was observed that the combination of PCA and X264 yielded the best performance in terms of compression performance and computational complexity. In some cases, the PCA + X264 combination achieved more than 3 dBs than the PCA + J2K combination. 展开更多
关键词 Hyperspectral Images (HSI) Compression Perceptually lossless Principal Component Analysis (PCA) Human Visual System (HVS) PSNR SSIM JPEG-2000 X264 X265 Daala
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Novel Lossless Compression Method Based on the Fourier Transform to Approximate the Kolmogorov Complexity of Elementary Cellular Automata
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作者 Mohammed Terry-Jack 《Journal of Software Engineering and Applications》 2022年第10期359-383,共25页
We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are ... We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are widely used in image compression but their lossy nature exclude them as viable candidates for Kolmogorov Complexity approximations. For the first time, we present a way to adapt fourier transforms for lossless image compression. The proposed method has a very strong Pearsons correlation to existing complexity metrics and we further establish its consistency as a complexity metric by confirming its measurements never exceed the complexity of nothingness and randomness (representing the lower and upper limits of complexity). Surprisingly, many of the other methods tested fail this simple sanity check. A final symmetry-based test also demonstrates our method’s superiority over existing lossless compression metrics. All complexity metrics tested, as well as the code used to generate and augment the original dataset, can be found in our github repository: ECA complexity metrics<sup>1</sup>. 展开更多
关键词 Fast Fourier Transform lossless Compression Elementary Cellular Automata Algorithmic Information Theory Kolmogorov Complexity
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