• 제목/요약/키워드: total variation (TV) model

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A Comparison of the Rudin-Osher-Fatemi Total Variation model and the Nonlocal Means Algorithm

  • ;최흥국
    • 한국멀티미디어학회:학술대회논문집
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    • 한국멀티미디어학회 2012년도 춘계학술발표대회논문집
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    • pp.6-9
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    • 2012
  • In this study, we compare two image denoising methods which are the Rudin-Osher-Fatemi total variation (TV) model and the nonlocal means (NLM) algorithm on medical images. To evaluate those methods, we used two well known measuring metrics. The methods are tested with a CT image, one X-Ray image, and three MRI images. Experimental result shows that the NML algorithm can give better results than the ROF TV model, but computational complexity is high.

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ITERATIVE REWEIGHTED ALGORITHM FOR NON-CONVEX POISSONIAN IMAGE RESTORATION MODEL

  • Jeong, Taeuk;Jung, Yoon Mo;Yun, Sangwoon
    • 대한수학회지
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    • 제55권3호
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    • pp.719-734
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    • 2018
  • An image restoration problem with Poisson noise arises in many applications of medical imaging, astronomy, and microscopy. To overcome ill-posedness, Total Variation (TV) model is commonly used owing to edge preserving property. Since staircase artifacts are observed in restored smooth regions, higher-order TV regularization is introduced. However, sharpness of edges in the image is also attenuated. To compromise benefits of TV and higher-order TV, the weighted sum of the non-convex TV and non-convex higher order TV is used as a regularizer in the proposed variational model. The proposed model is non-convex and non-smooth, and so it is very challenging to solve the model. We propose an iterative reweighted algorithm with the proximal linearized alternating direction method of multipliers to solve the proposed model and study convergence properties of the algorithm.

Equalized Net Diffusion (END) for the Preservation of Fine Structures in PDE-based Image Restoration

  • Cha, Youngjoon;Kim, Seongjai
    • 한국통신학회논문지
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    • 제38A권12호
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    • pp.998-1012
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    • 2013
  • The article is concerned with a mathematical modeling which can improve performances of PDE-based restoration models. Most PDE-based restoration models tend to lose fine structures due to certain degrees of nonphysical dissipation. Sources of such an undesirable dissipation are analyzed for total variation-based restoration models. Based on the analysis, the so-called equalized net diffusion (END) modeling is suggested in order for PDE-based restoration models to significantly reduce nonphysical dissipation. It has been numerically verified that the END-incorporated models can preserve and recover fine structures satisfactorily, outperforming the basic models for both quality and efficiency. Various numerical examples are shown to demonstrate effectiveness of the END modeling.

Regularized Multichannel Blind Deconvolution Using Alternating Minimization

  • James, Soniya;Maik, Vivek;Karibassappa, K.;Paik, Joonki
    • IEIE Transactions on Smart Processing and Computing
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    • 제4권6호
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    • pp.413-421
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    • 2015
  • Regularized Blind Deconvolution is a problem applicable in degraded images in order to bring the original image out of blur. Multichannel blind Deconvolution considered as an optimization problem. Each step in the optimization is considered as variable splitting problem using an algorithm called Alternating Minimization Algorithm. Each Step in the Variable splitting undergoes Augmented Lagrangian method (ALM) / Bregman Iterative method. Regularization is used where an ill posed problem converted into a well posed problem. Two well known regularizers are Tikhonov class and Total Variation (TV) / L2 model. TV can be isotropic and anisotropic, where isotropic for L2 norm and anisotropic for L1 norm. Based on many probabilistic model and Fourier Transforms Image deblurring can be solved. Here in this paper to improve the performance, we have used an adaptive regularization filtering and isotropic TV model Lp norm. Image deblurring is applicable in the areas such as medical image sensing, astrophotography, traffic signal monitoring, remote sensors, case investigation and even images that are taken using a digital camera / mobile cameras.

Adaptive V1-MT model for motion perception

  • Li, Shuai;Fan, Xiaoguang;Xu, Yuelei;Huang, Jinke
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권1호
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    • pp.371-384
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    • 2019
  • Motion perception has been tremendously improved in neuroscience and computer vision. The baseline motion perception model is mediated by the dorsal visual pathway involving the cortex areas the primary visual cortex (V1) and the middle temporal (V5 or MT) visual area. However, few works have been done on the extension of neural models to improve the efficacy and robustness of motion perception of real sequences. To overcome shortcomings in situations, such as varying illumination and large displacement, an adaptive V1-MT motion perception (Ad-V1MTMP) algorithm enriched to deal with real sequences is proposed and analyzed. First, the total variation semi-norm model based on Gabor functions (TV-Gabor) for structure-texture decomposition is performed to manage the illumination and color changes. And then, we study the impact of image local context, which is processed in extra-striate visual areas II (V2), on spatial motion integration by MT neurons, and propose a V1-V2 method to extract the image contrast information at a given location. Furthermore, we take feedback inputs from V2 into account during the polling stage. To use the algorithm on natural scenes, finally, multi-scale approach has been used to handle the frequency range, and adaptive pyramidal decomposition and decomposed spatio-temporal filters have been used to diminish computational cost. Theoretical analysis and experimental results suggest the new Ad-V1MTMP algorithm which mimics human primary motion pathway has universal, effective and robust performance.

THE METHOD OF NONFLAT TIME EVOLUTION (MONTE) IN PDE-BASED IMAGE RESTORATION

  • Cha, Youngjoon;Kim, Seongjai
    • 한국통신학회논문지
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    • 제37A권11호
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    • pp.961-971
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    • 2012
  • This article is concerned with effective numerical techniques for partial differential equation (PDE)-based image restoration. Numerical realizations of most PDE-based denoising models show a common drawback: loss of fine structures. In order to overcome the drawback, the article introduces a new time-stepping procedure, called the method of nonflat time evolution (MONTE), in which the timestep size is determined based on local image characteristics such as the curvature or the diffusion magnitude. The MONTE provides PDE-based restoration models with an effective mechanism for the equalization of the net diffusion over a wide range of image frequency components. It can be easily applied to diverse evolutionary PDE-based restoration models and their spatial and temporal discretizations. It has been numerically verified that the MONTE results in a significant reduction in numerical dissipation and preserves fine structures such as edges and textures satisfactorily, while it removes the noise with an improved efficiency. Various numerical results are shown to confirm the claim.

확률적 위험도분석을 이용한 ITS사업의 경제성평가모형 (Development of Evaluation Model for ITS Project using the Probabilistic Risk Analysis)

  • 이용택;남두희;임강원
    • 대한교통학회지
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    • 제23권3호
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    • pp.95-108
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    • 2005
  • 본 연구는 결정적 경제성분석모형(Deterministic Economic Analysis : DEA)의 한계를 극복할 수 있는 확률적 위험도분석(Probabilistic Risk Analysis : PRA) 모형을 이용하여 ITS사업의 경제성평가모형을 개발하고 사례분석을 통해 모형의 적합성(Goodness-of-fit)과 유용성을 검증하는 것이다. 즉 ITS사업의 경제성에 영향을 미치는 위험변수를 확률밀도함수(PDF), 누적확률밀도함수(CDF)로 산출하고 몬테카를로 시뮬레이션기법(Monte-Carlo Simulation Approach : MCSA)을 통해 산출된 결과변수(사업비, 경제성지표)의 통계값에 대해 합리적인 의사결정 방법론을 정립하였다. 대규모 지방자치단체 ITS사업의 사례분석(대전광역시 첨단교통모델도시사업) 수행결과, 통합시스템의 사업비 총사업비는 PRA모형을 통해 산출된 확률분포 상에서 편의(Bias)된 백분율값으로 나타났으며, 사업비 총사업비의 변동계수가(각각 15, 4) 일반교통사업에 비해 낮아, ITS사업의 위험도가 높은 것으로 나타났다. 또한 PRA모형의 결과변수(B/C, NPA, IRP)가 변동가능한 사업환경 하에서 90%이상 모두 경제성이 있는 것으로 나타났다. 그러나 총사업비 사업비의 우발성비용(목표관리값 85%기준)이 발생하는 것으로 나타나 경제성은 높으나 사업비 초과 위험도는 높은 사업으로 분류되었다. 또한 DEA모형의 경제성평가지표는 PRA모형의 확률분포 상에 단일 %값(B/C:27%값, NPV:27%값, IRR:33%값)으로 나타나며, 평균값 또는 중앙값과 비교할 때, 경제성이 과소추정(Underestimate)되는 것으로 나타났다. 또한 단위시스템의 우선순위결과정에서 모형에 따라 우선순위가 바꾸는 결과가 나타났다. 특히 대규모 ITS사업의 경제성평가 시 DEA모형이 편의된 하나의 사례만으로 경제성을 평가함으로써, 경제성을 과대 과소추정하거나 비합리적인 투자우선 순위를 도출하는 오류를 범할수 있는 것으로 나타났다.

임하 다목적댐 건설 후 주변지역 기후 및 작물생산력 변화 (Simulation of Local Climate and Crop Productivity in Andong after Multi-Purpose Dam Construction)

  • 윤진일;황재문;이순구
    • 한국작물학회지
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    • 제42권5호
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    • pp.579-596
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    • 1997
  • 1990년 임하 다목적댐 건설에 의해 경북 안동지역에 생성된 담수면적 28.7$\textrm{km}^2$의 임하호가 주변지역의 국지기후 및 주요 작물의 잠재생산력에 미친 영향을 구명하기 위해 임하호 주변 $30km\times 25km$ 지역을 대상으로 무인기상관측망을 구성, 5년간의 특별관측을 수행하였다. 수집된 자료를 토대로 담수전후 기후시나리오를 작성하고 이를 작물모형에 입력하여 최종 건물생산량을 추정한 바, 주요 결과는 다음과 같다. 1. 담수후 5년간 일최고기온은 담수 전보다 평균적으로 한후기 (10월~3월)에 상승하고 난후기에 하강하였으나, 예외적으로 6월과 7월에는 상승하였다. 일최저기온은 담수 전보다 평균적으로 난후기(4월~8월)에 하강하고 한후기에 상승하였다. 담수 전후 기온의 변화정도는 겨울철에 크고 여름철에 적었다. 2. 담수후 5년간 강수량은 담수 전보다 평균적으로 2, 3, 5, 7, 12월에 증가하였고 나머지 달에는 감소하였으나 연간 총강수량의 변화는 인정되지 않았다. 월별 일사량은 2, 6, 9월을 제외하고는 담수전에 비해 5% 가량 감소하였다. 3. 담수 전후 30년간씩의 벼 생육모의실험에서 대상지역내 27개 재배구역 중 담수에 의해 잠재수량의 변화가 인정되는 곳은 한 곳 뿐으로 담수전에 비해 정조 기준 4%의 증가를 보였다. 4. 담수 전후 30년간씩의 콩 생육모의실험에서 대상지역내 27개 재배구역 중 담수에 의해 잠재수량 감소가 인정되는 곳이 2개였으며 최대 감수율은 16%였다. 5. 담수 전후 30년간씩의 옥수수 생육모의실험에서 담수에 의해 옥수수의 잠재수량 감소가 인정되는 곳이 총 27개 중 6개였고 최대 감수율은 17%였다.. 또한 유수의 크기는 전 유수발달기를 통하여 항상 밀양 2003가 고시히카리보다 컸다. the canopies with more leaf mass, making MB the highest, HB the lowest, and DS in between. Relative humidity was over 90% in the night and dropped to 70% in the mid-afternoon, but vapor pressure within the canopy was highest at around 13:00 LST. Dew point depression was lowest and, combined with the temperature, the relative humidity was highest in HB. Mean period of wetting duration was in the order of DS>HB>MB, while the dew point depression was greatest in DS.ANCOVA, Pearson correlation을 이용하여 분석하였으며, 그 결과는 다음과 같다. 캠프 프로그램은 소아 당뇨병 환자의 자기 효능을 증진시키고 환자 역할 행위 이행을 높여주는데 효과적 이었다. 소아 당뇨병 환자의 자기 효능은 환자 역할 행위 이행과 순 상관 관계가 있어, 자기 효능이 증진될수록 환자 역할 행위 이행 정도가 높아졌다. 무조건 사주지 않는다(8.0%), 무조건 사준다(3.1%)로 식품광고에 나오는 식품 요구시 부모의 70.3%가 거절하는 것으로 나타났다. 거절 이유는 건강에 나쁘다는 것이 가장 큰 이유였으며 강남과 강북 어린이간에 유의적인 차이가 있었다(p<0.001). TV

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