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Adaptive Image Zooming Algorithm Combining Total Variation Minimization and a Second-order Functional
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作者 王燕燕 高冉 顾聪 《Chinese Quarterly Journal of Mathematics》 2016年第4期435-440,共6页
An image zooming algorithm by using partial differential equations(PDEs) is proposed here. It combines the second-order PDE with a fourth-order PDE. The combined algorithm is able to preserve edges and at the same tim... An image zooming algorithm by using partial differential equations(PDEs) is proposed here. It combines the second-order PDE with a fourth-order PDE. The combined algorithm is able to preserve edges and at the same time avoid the blurry effect in smooth regions. An adaptive function is used to combine the two PDEs. Numerical experiments illustrate advantages of the proposed model. 展开更多
关键词 adaptive image zooming total variation PDES
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Total Variation Based Asymptotics of Covert Communication in AWGN Channels
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作者 Wang Jianquan Tang Wanbin Li Xiaoping 《China Communications》 2025年第5期173-188,共16页
Covert communication guarantees the security of wireless communications via hiding the existence of the transmission.This paper focuses on the first and second order asymptotics of covert communication in the AWGN cha... Covert communication guarantees the security of wireless communications via hiding the existence of the transmission.This paper focuses on the first and second order asymptotics of covert communication in the AWGN channels.The covertness is measured by the total variation distance between the channel output distributions induced with and without the transmission.We provide the exact expressions of the maximum amount of information that can be transmitted with the maximum error probability and the total variation less than any small numbers.The energy detection and the random coding are employed to prove our results.We further compare our results with those under relative entropy.The results show how many additional amounts of information can be transmitted covertly when changing the covertness constraint to total variation. 展开更多
关键词 additive white Gaussian noise channels asymptotical analysis covert communication relative entropy total variation
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The Convergence Rate of Fréchet Distribution under the Second-Order Regular Variation Condition
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作者 Xilai Dai 《Journal of Applied Mathematics and Physics》 2024年第5期1597-1605,共9页
In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order ... In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular variation condition. 展开更多
关键词 Convergence Rate second-order Regular variation Condition Fréchet Distribution Extreme Value Index
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Fast alternating direction method of multipliers for total-variation-based image restoration 被引量:1
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作者 陶敏 《Journal of Southeast University(English Edition)》 EI CAS 2011年第4期379-383,共5页
A novel algorithm, i.e. the fast alternating direction method of multipliers (ADMM), is applied to solve the classical total-variation ( TV )-based model for image reconstruction. First, the TV-based model is refo... A novel algorithm, i.e. the fast alternating direction method of multipliers (ADMM), is applied to solve the classical total-variation ( TV )-based model for image reconstruction. First, the TV-based model is reformulated as a linear equality constrained problem where the objective function is separable. Then, by introducing the augmented Lagrangian function, the two variables are alternatively minimized by the Gauss-Seidel idea. Finally, the dual variable is updated. Because the approach makes full use of the special structure of the problem and decomposes the original problem into several low-dimensional sub-problems, the per iteration computational complexity of the approach is dominated by two fast Fourier transforms. Elementary experimental results indicate that the proposed approach is more stable and efficient compared with some state-of-the-art algorithms. 展开更多
关键词 total variation DECONVOLUTION alternating direction method of multiplier
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图像重建中total variation正则化项的有限元计算方法
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作者 王彩芳 《计算机辅助工程》 2012年第3期49-52,56,共5页
为在迭代图像重建算法中获得更高质量的重建图像,推导出TV(Total Variation)正则化项关于重建图像的Fréchet导数,并给出该导数的有限元表示;利用两个数值实验,分别采用不同的网格尺寸和不同的形函数验证该有限元表示结果.数值实验... 为在迭代图像重建算法中获得更高质量的重建图像,推导出TV(Total Variation)正则化项关于重建图像的Fréchet导数,并给出该导数的有限元表示;利用两个数值实验,分别采用不同的网格尺寸和不同的形函数验证该有限元表示结果.数值实验结果表明:采用相同的k次单纯形元时,随着网格不断加密,计算结果的L1和L2误差均下降;采用相同的网格时,线性单纯形元函数计算结果明显优于分片常数有限元和二次单纯形元计算结果. 展开更多
关键词 图像重建 迭代算法 total variation正则化 Fréchet导数 单纯形元 有限元
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Warm-Season Diurnal Variations of Total, Stratiform, Convective, and Extreme Hourly Precipitation over Central and Eastern China 被引量:15
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作者 Yongguang ZHENG Yanduo GONG +1 位作者 Jiong CHEN Fuyou TIAN 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2019年第2期143-159,共17页
Diurnal variations in amount, frequency and intensity of warm-season hourly precipitation(HP) at seven levels, which are defined as HP 0.1, 0.5, 1, 5, 10, 20 and 50 mm, are revealed based on no less than 30 years of h... Diurnal variations in amount, frequency and intensity of warm-season hourly precipitation(HP) at seven levels, which are defined as HP 0.1, 0.5, 1, 5, 10, 20 and 50 mm, are revealed based on no less than 30 years of hourly rain-gauge observations at national stations over central and eastern China(CEC). This study investigates the variations, relationships, differences and similarities of total, stratiform, convective and extreme HP over the entire CEC and various subregions. Results indicate that the variations in the amount and frequency of HP at the seven levels over the entire CEC all display a bimodal feature. For various regions, the variations of total HP mostly feature two peaks, while convective HP mainly occurs in the late afternoon and determines the diurnal variation of total HP intensity. On the basis of the primary peak time periods of HP frequency at all levels over different subregions, the variations can be classified into three main categories: late-afternoon primary peak, nocturnal primary peak, and time-shifting primary peak. However, the variations over some coastal regions like the Liaodong Peninsula, the Shandong Peninsula, and the coastal regions of Guangdong, distinctly differ from those over their corresponding larger regions. Overall, the normalized diurnal variation amplitude of amount and frequency increases with the increasing HP intensity; convective precipitation can be represented by HP 10 mm; and the intensity of HP 50 mm is slightly larger during the nighttime than during the daytime over the entire CEC. In northern China, diurnal variation in HP 5 mm can represent well that in convective precipitation. 展开更多
关键词 diurnal variation total PRECIPITATION STRATIFORM PRECIPITATION CONVECTIVE PRECIPITATION EXTREME PRECIPITATION
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Variation Features of Total Atmospheric Ozone in Beijing and Kunming Based on Dobson and TOMS Data 被引量:10
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作者 卞建春 陈洪滨 +1 位作者 赵延亮 吕达仁 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2002年第2期279-286,共8页
About 20 years of Dobson and TOMS data are used to analyze the variation characteristics of total atmospheric ozone in Beijing (39.93°N, 116.40°E) and Kunming (25.02°N, 102.68°E). It is shown that:... About 20 years of Dobson and TOMS data are used to analyze the variation characteristics of total atmospheric ozone in Beijing (39.93°N, 116.40°E) and Kunming (25.02°N, 102.68°E). It is shown that: (1) the long-term change trends for 1979 (or 1980)–2000 period are &#8722;0.642 DU/year and &#8722;0.009 DU/year respectively in Beijing and Kunming, (2) there are strong intra-seasonal variations especially in wintertime, which are comparable to seasonal variations both in Beijing and Kunming, (3) the long-term trend deduced from shorter time period of record is significantly different from that for longer time period, both in Kunming and Beijing, (4) there are significant QBO signals both in Beijing (mid latitude) and Kunming (low latitude), (5) the inter-annual variations of atmospheric ozone in both stations are mainly composed of the long-term trend and QBO signals, and (6) our Dobson and TOMS measurements of total ozone are generally in good agreement. 展开更多
关键词 total atmospheric ozone Seasonal variation TREND QBO
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Algorithm for reconstructing compressed sensing color imaging using the quaternion total variation
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作者 廖帆 严路 +2 位作者 伍家松 韩旭 舒华忠 《Journal of Southeast University(English Edition)》 EI CAS 2015年第1期51-54,共4页
A new method for reconstructing the compressed sensing color image by solving an optimization problem based on total variation in the quaternion field is proposed, which can effectively improve the reconstructing abil... A new method for reconstructing the compressed sensing color image by solving an optimization problem based on total variation in the quaternion field is proposed, which can effectively improve the reconstructing ability of the color image. First, the color image is converted from RGB (red, green, blue) space to CMYK (cyan, magenta, yellow, black) space, which is assigned to a quaternion matrix. Meanwhile, the quaternion matrix is converted into the information of the phase and amplitude by the Euler form of the quatemion. Secondly, the phase and amplitude of the quatemion matrix are used as the smoothness constraints for the compressed sensing (CS) problem to make the reconstructing results more accurate. Finally, an iterative method based on gradient is used to solve the CS problem. Experimental results show that by considering the information of the phase and amplitude, the proposed method can achieve better performance than the existing method that treats the three components of the color image as independent parts. 展开更多
关键词 total variation compressed sensing quatemion sparse reconstruction color image restoration
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Image reconstruction based on total-variation minimization and alternating direction method in linear scan computed tomography 被引量:6
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作者 张瀚铭 王林元 +3 位作者 闫镔 李磊 席晓琦 陆利忠 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第7期582-589,共8页
Linear scan computed tomography (LCT) is of great benefit to online industrial scanning and security inspection due to its characteristics of straight-line source trajectory and high scanning speed. However, in prac... Linear scan computed tomography (LCT) is of great benefit to online industrial scanning and security inspection due to its characteristics of straight-line source trajectory and high scanning speed. However, in practical applications of LCT, there are challenges to image reconstruction due to limited-angle and insufficient data. In this paper, a new reconstruction algorithm based on total-variation (TV) minimization is developed to reconstruct images from limited-angle and insufficient data in LCT. The main idea of our approach is to reformulate a TV problem as a linear equality constrained problem where the objective function is separable, and then minimize its augmented Lagrangian function by using alternating direction method (ADM) to solve subproblems. The proposed method is robust and efficient in the task of reconstruction by showing the convergence of ADM. The numerical simulations and real data reconstructions show that the proposed reconstruction method brings reasonable performance and outperforms some previous ones when applied to an LCT imaging problem. 展开更多
关键词 linear scan CT image reconstruction total variation alternating direction method
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Spatial and temporal variations in pH and total alkalinity at the beginning of the rainy season in the Changjiang Estuary, China 被引量:3
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作者 GAO Xuelu SONG Jinming +2 位作者 LI Xuegang YUAN Huamao LI Ning 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2005年第5期68-77,共10页
The results of field observation carried out in May 2003 were used to examine pH and total alkalinity behaviors in the Changjiang Estuary. It was showed that pH and total alkalinity took on clear spatial variations in... The results of field observation carried out in May 2003 were used to examine pH and total alkalinity behaviors in the Changjiang Estuary. It was showed that pH and total alkalinity took on clear spatial variations in values with the minima in the low salinity region. Like salinity, transect distributions of pH and total alkalinity (TA) in a downriver direction had a sharp gradient each. These gradients appeared in such a sequence that the TA gradient was earlier than salinity and pH gradients, and the salinity gradient was earlier than the pH gradient. These distribution characteristics seemed to be strongly influenced by the mixing process of freshwater and seawater, for both pH and total alkalinity had significant linear relationships with salinity and temperature. For pH, phytoplankton activities also had a significant impact upon its spatial distribution. During a period of 48 h, pH and total alkalinity changed within wide ranges for every layer of the two anchor stations, namely, Stas 13 and 20, which were located at the mixed water mass and seawater mass, respectively. For both Stas 13 and 20, pH and TA fluctuation of every layer could be very wide during a 4 h period. As a whole, the data of the two anchor stations showed that neither variations in salinity and temperature nor phytoplankton activities were the main factors strongly influencing the total alkalinity temporal variability on a small time scale. The data of Sta. 20 implied that both salinity variation and phytoplankton activities had a significant influence on pH temporal variability, but the same conclusion could not be drawn from the data of Sta. 13. 展开更多
关键词 Changjiang Estuary PH total alkalinity spatial and temporal variations
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Image haze removal via multiscale fusion and total variation 被引量:3
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作者 Xuemei Wang Mingye Ju Dengyin Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第3期597-605,共9页
In foggy weather, images of outdoor scene are usually characterized with poor visibility as well as faint color saturation. The degraded hazy images may have substantial negative impact on most computer vision systems... In foggy weather, images of outdoor scene are usually characterized with poor visibility as well as faint color saturation. The degraded hazy images may have substantial negative impact on most computer vision systems. Thus image haze removal is of the practical significance in engineering. This paper proposes a fast and effective single image haze removal algorithm on the basis of the physics imaging model. To extract the global atmospheric light accurately, we exploit multiple prior rules underlying hazy images, and put forward a novel measurement to judge the likelihood that a pixel is regarded as the global atmospheric light. In addition, the rough transmission map is estimated through a multiscale fusion process based on the Laplace pyramid transform, and refined by a total variation model. Experimental results demonstrate the proposed method outperforms most of the state-of-the-art algorithms in terms of the dehazing quality, and achieves a trade-off between the computational efficiency and haze removal capability. 展开更多
关键词 multiscale fusion total variation multiple prior transmission refinement
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Image decomposition and staircase effect reduction based on total generalized variation 被引量:2
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作者 Jianlou Xu Xiangchu Feng +1 位作者 Yan Hao Yu Han 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第1期168-174,共7页
Total variation (TV) is widely applied in image process-ing. The assumption of TV is that an image consists of piecewise constants, however, it suffers from the so-cal ed staircase effect. In order to reduce the sta... Total variation (TV) is widely applied in image process-ing. The assumption of TV is that an image consists of piecewise constants, however, it suffers from the so-cal ed staircase effect. In order to reduce the staircase effect and preserve the edges when textures of image are extracted, a new image decomposition model is proposed in this paper. The proposed model is based on the to-tal generalized variation method which involves and balances the higher order of the structure. We also derive a numerical algorithm based on a primal-dual formulation that can be effectively imple-mented. Numerical experiments show that the proposed method can achieve a better trade-off between noise removal and texture extraction, while avoiding the staircase effect efficiently. 展开更多
关键词 total variation (TV) image decomposition staircaseeffect total generalized variation.
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Adaptive Parameter Selection for Total Variation Image Deconvolution 被引量:3
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作者 You-Wei Wen Andy M. Yip 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第4期427-438,共12页
In this paper,we propose a discrepancy rule-based method to automatically choose the regularization parameters for total variation image restoration problems. The regularization parameters are adjusted dynamically in ... In this paper,we propose a discrepancy rule-based method to automatically choose the regularization parameters for total variation image restoration problems. The regularization parameters are adjusted dynamically in each iteration.Numerical results are shown to illustrate the performance of the proposed method. 展开更多
关键词 Image restoration regularization parameter total variation.
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Total Variation Constrained Non-Negative Matrix Factorization for Medical Image Registration 被引量:4
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作者 Chengcai Leng Hai Zhang +2 位作者 Guorong Cai Zhen Chen Anup Basu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第5期1025-1037,共13页
This paper presents a novel medical image registration algorithm named total variation constrained graphregularization for non-negative matrix factorization(TV-GNMF).The method utilizes non-negative matrix factorizati... This paper presents a novel medical image registration algorithm named total variation constrained graphregularization for non-negative matrix factorization(TV-GNMF).The method utilizes non-negative matrix factorization by total variation constraint and graph regularization.The main contributions of our work are the following.First,total variation is incorporated into NMF to control the diffusion speed.The purpose is to denoise in smooth regions and preserve features or details of the data in edge regions by using a diffusion coefficient based on gradient information.Second,we add graph regularization into NMF to reveal intrinsic geometry and structure information of features to enhance the discrimination power.Third,the multiplicative update rules and proof of convergence of the TV-GNMF algorithm are given.Experiments conducted on datasets show that the proposed TV-GNMF method outperforms other state-of-the-art algorithms. 展开更多
关键词 Data clustering dimension reduction image registration non-negative matrix factorization(NMF) total variation(TV)
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Texture Preserving Denoising Method Combining Total Variation and Wavelet Shrinkage 被引量:2
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作者 ZHANG Tao FAN Qibin 《Wuhan University Journal of Natural Sciences》 CAS 2010年第1期31-35,共5页
In this paper,we propose a new image denoising method that combines total variation(TV)method and wavelet shrinkage.In our method,a noisy image is decomposed into subbands of LL,LH,HL,and HH in wavelet domain.LL subba... In this paper,we propose a new image denoising method that combines total variation(TV)method and wavelet shrinkage.In our method,a noisy image is decomposed into subbands of LL,LH,HL,and HH in wavelet domain.LL subband contains the low frequency coefficients along with less noise,which can be easily eliminated using TV-based method.More edges and other detailed information like textures are contained in the other three subbands,and we propose a shrinkage method based on the local variance to extract them from high frequency noise.Experimental results show that this method retains the edges and textures very well while removing noise. 展开更多
关键词 WAVELET total variation TEXTURE local variance THRESHOLD
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Hybrid reconstruction algorithm for computed tomography based on diagonal total variation 被引量:1
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作者 Lu-Zhen Deng Peng He +3 位作者 Shang-Hai Jiang Mian-Yi Chen Biao Wei Peng Feng 《Nuclear Science and Techniques》 SCIE CAS CSCD 2018年第3期172-180,共9页
Inspired by total variation(TV), this paper represents a new iterative algorithm based on diagonal total variation(DTV) to address the computed tomography image reconstruction problem. To improve the quality of a reco... Inspired by total variation(TV), this paper represents a new iterative algorithm based on diagonal total variation(DTV) to address the computed tomography image reconstruction problem. To improve the quality of a reconstructed image, we used DTV to sparsely represent images when iterative convergence of the reconstructed algorithm with TV-constraint had no effect during the reconstruction process. To investigate our proposed algorithm, the numerical and experimental studies were performed, and rootmean-square error(RMSE) and structure similarity(SSIM)were used to evaluate the reconstructed image quality. The results demonstrated that the proposed method could effectively reduce noise, suppress artifacts, and reconstruct highquality image from incomplete projection data. 展开更多
关键词 COMPUTED tomography (CT) Sparse-view reconstruction DIAGONAL total variation (DTV) COMPRESSIVE sensing (CS)
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Characteristics of the Seasonal Variation of the Surface TotalHeating over the Tibetan Plateau and Its Surrounding Areain Summer 1998 and Its Relationship with the Convectionover the Subtropical Area of the Western Pacific 被引量:1
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作者 李薇 陈隆勋 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2003年第3期343-348,共6页
Using the dataset of 1998 TIPEX, the data of 6 automatic heat balance observational stations (AWS) from May to August 1998, a dataset of 52 surface observational stations over the Tibetan Plateau (TP) and its adjacent... Using the dataset of 1998 TIPEX, the data of 6 automatic heat balance observational stations (AWS) from May to August 1998, a dataset of 52 surface observational stations over the Tibetan Plateau (TP) and its adjacent region, the daily rainfall amounts from about 300 stations in China, the outgoing longwave radiation (OLR) data received by the National Satellite Meteorological Center(NSMC) of China, and TBB data from GMS remote sensing of Japan, the characteristics of the seasonal variation of the surface total heating over TP and its surrounding area in summer 1998 and its relationship with the convection over the subtropical area of the western Pacific is studied in this paper. The results show that the surface total heating over TP had a close relationship with the onset of the rainy season, and after the onset of the rainy season, the regional mean surface total heating over TP decreased distinctly. Furthermore, the regional mean surface total heating over TP had very good negative correlation with TBB over the subtropical area of the western Pacific along 20–30°N, which shows that the surface total heating over TP was able to affect the convection over the subtropical area of the western Pacific. 展开更多
关键词 Tibetan Plateau surface total heating seasonal variation
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A non-local vectorial total variational model for multichannel SAR image speckle suppression 被引量:1
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作者 Xi Rubing Wang Zhengming +2 位作者 Xie Meihua Zhao Xia Wang Weiwei 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2015年第3期770-779,共10页
Abstract This paper aims at the multichannel synthetic aperture radar (SAR) image speckle reduc- tion. This paper proposes a novel energy minimized regularization model for multichannel image denoising, which is an ... Abstract This paper aims at the multichannel synthetic aperture radar (SAR) image speckle reduc- tion. This paper proposes a novel energy minimized regularization model for multichannel image denoising, which is an extension of the non-local total variational model for gray-scale image. It contains two terms, namely the vectorial data fidelity term and the non-local vectorial total variation term. The latter is constructed by high-dimensional non-local gradient that contains the structure information of the multichannel image. The existence and the uniqueness of the solution of the model are proved. A fixed point iterative algorithm is designed to acquire the solution of this model. The convergence property of this algorithm is proved as well. This model is applied to the multipolarimetric and multi-temporal RAI)ARSAT-2 images despeckling. The result shows that this model performs better than the original vectorial total variational model on texture preserving. 展开更多
关键词 Fixed point iteration Multichannel image denois-ing NON-LOCAL SAR image despeckling Vectorial total variation
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Dark channel prior based blurred image restoration method using total variation and morphology 被引量:1
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作者 Yibing Li Qiang Fu +1 位作者 Fang Ye Hayaru Shouno 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第2期359-366,共8页
The blurred image restoration method can dramatically highlight the image details and enhance the global contrast, which is of benefit to improvement of the visual effect during practical ap- plications. This paper is... The blurred image restoration method can dramatically highlight the image details and enhance the global contrast, which is of benefit to improvement of the visual effect during practical ap- plications. This paper is based on the dark channel prior principle and aims at the prior information absent blurred image degradation situation. A lot of improvements have been made to estimate the transmission map of blurred images. Since the dark channel prior principle can effectively restore the blurred image at the cost of a large amount of computation, the total variation (TV) and image morphology transform (specifically top-hat transform and bottom- hat transform) have been introduced into the improved method. Compared with original transmission map estimation methods, the proposed method features both simplicity and accuracy. The es- timated transmission map together with the element can restore the image. Simulation results show that this method could inhibit the ill-posed problem during image restoration, meanwhile it can greatly improve the image quality and definition. 展开更多
关键词 image restoration dark channel prior total variation (TV) morphology transform
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Compressive Sensing Reconstruction Based on Weighted Directional Total Variation 被引量:2
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作者 闵莉花 冯灿 《Journal of Shanghai Jiaotong university(Science)》 EI 2017年第1期114-120,共7页
Directionality of image plays a very important role in human visual system and it is important prior information of image. In this paper we propose a weighted directional total variation model to reconstruct image fro... Directionality of image plays a very important role in human visual system and it is important prior information of image. In this paper we propose a weighted directional total variation model to reconstruct image from its finite number of noisy compressive samples. A novel self-adaption, texture preservation method is designed to select the weight. Inspired by majorization-minimization scheme, we develop an efficient algorithm to seek the optimal solution of the proposed model by minimizing a sequence of quadratic surrogate penalties. The numerical examples are performed to compare its performance with four state-of-the-art algorithms. Experimental results clearly show that our method has better reconstruction accuracy on texture images than the existing scheme. 展开更多
关键词 compressive sensing weighted directional total variation majorization-minimization algorithm TP 391.4 A
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