• Title/Summary/Keyword: Gibbs Random Field

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Classification of a Volumetric MRI Using Gibbs Distributions and a Line Model (깁스분포와 라인모델을 이용한 3차원 자기공명영상의 분류)

  • Junchul Chun
    • Investigative Magnetic Resonance Imaging
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    • v.2 no.1
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    • pp.58-66
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    • 1998
  • Purpose : This paper introduces a new three dimensional magnetic Resonance Image classification which is based on Mar kov Random Field-Gibbs Random Field with a line model. Material and Methods : The performance of the Gibbs Classifier over a statistically heterogeneous image can be improved if the local stationary regions in the image are disassociated from each other through the mechanism of the interaction parameters defined at the local neighborhood level. This usually involves the construction of a line model for the image. In this paper we construct a line model for multisignature images based on the differential of the image which can provide an a priori estimate of the unobservable line field, which may lie in regions with significantly different statistics. the line model estimated from the original image data can in turn be used to alter the values of the interaction parameters of the Gibbs Classifier. Results : MRF-Gibbs classifier for volumetric MR images is developed under the condition that the domain of the image classification is $E^{3}$ space rather thatn the conventional $E^{2}$ space. Compared to context free classification, MRF-Gibbs classifier performed better in homogeneous and along boundaries since contextual information is used during the classification. Conclusion : We construct a line model for multisignature, multidimensional image and derive the interaction parameter for determining the energy function of MRF-Gibbs classifier.

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Image analysis using a markov random field and TMS320C80(MVP) (TMS320C80(MVP)과 markov random field를 이용한 영상해석)

  • 백경석;정진현
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1722-1725
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    • 1997
  • This paper presents image analysis method using a Markov random field(MRF) model. Particulary, image esgmentation is to partition the given image into regions. This scheme is first segmented into regions, and the obtained domain knowledge is used to obtain the improved segmented image by a Markov random field model. The method is a maximum a posteriori(MAP) estimation with the MRF model and its associated Gibbs distribution. MAP estimation method is applied to capture the natural image by TMS320C80(MVP) and to realize the segmented image by a MRF model.

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Bayesian Texture Segmentation Using Multi-layer Perceptron and Markov Random Field Model (다층 퍼셉트론과 마코프 랜덤 필드 모델을 이용한 베이지안 결 분할)

  • Kim, Tae-Hyung;Eom, Il-Kyu;Kim, Yoo-Shin
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.1
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    • pp.40-48
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    • 2007
  • This paper presents a novel texture segmentation method using multilayer perceptron (MLP) networks and Markov random fields in multiscale Bayesian framework. Multiscale wavelet coefficients are used as input for the neural networks. The output of the neural network is modeled as a posterior probability. Texture classification at each scale is performed by the posterior probabilities from MLP networks and MAP (maximum a posterior) classification. Then, in order to obtain the more improved segmentation result at the finest scale, our proposed method fuses the multiscale MAP classifications sequentially from coarse to fine scales. This process is done by computing the MAP classification given the classification at one scale and a priori knowledge regarding contextual information which is extracted from the adjacent coarser scale classification. In this fusion process, the MRF (Markov random field) prior distribution and Gibbs sampler are used, where the MRF model serves as the smoothness constraint and the Gibbs sampler acts as the MAP classifier. The proposed segmentation method shows better performance than texture segmentation using the HMT (Hidden Markov trees) model and HMTseg.

Bayesian Hierachical Model using Gibbs Sampler Method: Field Mice Example (깁스 표본 기법을 이용한 베이지안 계층적 모형: 야생쥐의 예)

  • Song, Jae-Kee;Lee, Gun-Hee;Ha, Il-Do
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.247-256
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    • 1996
  • In this paper, we applied bayesian hierarchical model to analyze the field mice example introduced by Demster et al.(1981). For this example, we use Gibbs sampler method to provide the posterior mean and compared it with LSE(Least Square Estimator) and MLR(Maximum Likelihood estimator with Random effect) via the EM algorithm.

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Moving Object Extraction Based on Block Motion Vectors (블록 움직임벡터 기반의 움직임 객체 추출)

  • Kim Dong-Wook;Kim Ho-Joon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.8
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    • pp.1373-1379
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    • 2006
  • Moving object extraction is one of key research topics for various video services. In this study, a new moving object extraction algorithm is introduced to extract objects using block motion vectors in video data. To do this, 1) a maximum a posteriori probability and Gibbs random field are used to obtain real block motion vectors,2) a 2-D histogram technique is used to determine a global motion, 3) additionally, a block segmentation is fellowed. In the computer simulation results, the proposed technique shows a good performance.

Bayesian Analysis of Multivariate Threshold Animal Models Using Gibbs Sampling

  • Lee, Seung-Chun;Lee, Deukhwan
    • Journal of the Korean Statistical Society
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    • v.31 no.2
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    • pp.177-198
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    • 2002
  • The estimation of variance components or variance ratios in linear model is an important issue in plant or animal breeding fields, and various estimation methods have been devised to estimate variance components or variance ratios. However, many traits of economic importance in those fields are observed as dichotomous or polychotomous outcomes. The usual estimation methods might not be appropriate for these cases. Recently threshold linear model is considered as an important tool to analyze discrete traits specially in animal breeding field. In this note, we consider a hierarchical Bayesian method for the threshold animal model. Gibbs sampler for making full Bayesian inferences about random effects as well as fixed effects is described to analyze jointly discrete traits and continuous traits. Numerical example of the model with two discrete ordered categorical traits, calving ease of calves from born by heifer and calving ease of calf from born by cow, and one normally distributed trait, birth weight, is provided.

A study on the relation between stationarity and synthesized images for GMRF (GMRF 모델의 안정성과 합성 영상과의 관계에 관한 연구)

  • 김성이;최윤식
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.2
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    • pp.71-78
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    • 1997
  • Markov random field models have extensively used in applications such as image segmentation and image restoration. In this paper, we consider the relation between the stationarity of parameters and the synthesized images for gauss-markov rnadom field which has the most popularly used among many MRF models. GMRF model, which is both wide-sense Markov and strict-sense markov, has AR representations and is also a kind of gibbs distribution. Therefore, we may approach in aspect of both AR models and gibbs models. We show the relation between the stationarity of parameters and the images which are synthesized by two approaching methods and derive the stationary regions of parameters in 1st order and isotropic 2nd order case.

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Ultrasound Image Enhancement using Markov Random Field Model (MRF 모델을 이용한 초음파 영상 개선 기법)

  • Gwak, Seong-Hoon;Park, Eun-Bi;Kim, Ho-Joon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2013.05a
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    • pp.792-795
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    • 2013
  • 본 연구에서는 조영증강 의료 초음파 영상에서 조영제의 도달시간(arrival time)과 전이시간(transit time)에 관한 정보를 영상화하는 과정에서 정보의 왜곡을 개선하는 방법론을 제시한다. 간 질환 진단을 위한 파라미터 영상에서 병변 형태의 왜곡은 호흡에 의한 흔들림 현상과 노이즈의 영향에 기인한다. 본 논문에서는 이를 개선하는 방법으로서 MRF(Markov Random Field) 모델을 적용한 최적화 기법을 제안한다. 이를 위하여 Gibbs 샘플러를 적용하기 위한 에너지 함수를 정의하고 이를 기반으로 하는 영상개선 알고리즘을 구현하였다. 제안된 이론은 실제 의료진단 데이터에 적용함으로써 그 유용성을 평가하였다.

A Parametric Image Enhancement Technique for Contrast-Enhanced Ultrasonography (조영증강 의료 초음파 진단에서 파라미터 영상의 개선 기법)

  • Kim, Ho Joon;Gwak, Seong Hoon
    • KIPS Transactions on Software and Data Engineering
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    • v.3 no.6
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    • pp.231-236
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    • 2014
  • The transit time of contrast agents and the parameters of time-intensity curves in ultrasonography are important factors to diagnose various diseases of a digestive organ. We have implemented an automatic parametric imaging method to overcome the difficulty of the diagnosis by naked eyes. However, the micro-bubble noise and the respiratory motions may degrade the reliability of the parameter images. In this paper, we introduce an optimization technique based on MRF(Markov Random Field) model to enhance the quality of the parameter images, and present an image tracking algorithm to compensate the image distortion by respiratory motions. A method to extract the respiration periods from the ultrasound image sequence has been developed. We have implemented the ROI(Region of Interest) tracking algorithm using the dynamic weights and a momentum factor based on these periods. An energy function is defined for the Gibbs sampler of the image enhancement method. Through the experiments using the data to diagnose liver lesions, we have shown that the proposed method improves the quality of the parametric images.

Boundary Detection using Adaptive Bayesian Approach to Image Segmentation (적응적 베이즈 영상분할을 이용한 경계추출)

  • Kim Kee Tae;Choi Yoon Su;Kim Gi Hong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.22 no.3
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    • pp.303-309
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    • 2004
  • In this paper, an adaptive Bayesian approach to image segmentation was developed for boundary detection. Both image intensities and texture information were used for obtaining better quality of the image segmentation by using the C programming language. Fuzzy c-mean clustering was applied fer the conditional probability density function, and Gibbs random field model was used for the prior probability density function. To simply test the algorithm, a synthetic image (256$\times$256) with a set of low gray values (50, 100, 150 and 200) was created and normalized between 0 and 1 n double precision. Results have been presented that demonstrate the effectiveness of the algorithm in segmenting the synthetic image, resulting in more than 99% accuracy when noise characteristics are correctly modeled. The algorithm was applied to the Antarctic mosaic that was generated using 1963 Declassified Intelligence Satellite Photographs. The accuracy of the resulting vector map was estimated about 300-m.