년 - 년
형태학적 특징을 활용한 레이더 강우자료 기반 위험기상 식별 알고리즘 개발
[Kisti 연계] 대한토목학회 대한토목학회논문집 Vol.45 No.6 2025 pp.659-674
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기후변화로 인한 강우 패턴의 변화로 단시간 많은 비가 내리는 국지성 호우 및 선형강수대와 같은 위험기상의 발생 빈도와 강도가 빠르게 증가하고 있다. 이러한 위험 기상을 조기에 구별하고, 발생 가능성과 강도를 예측하는 것은 수재해 대응에 매우 중요하다. 본 연구는 극한강우를 유발하는 위험 기상 현상인 집중호우 및 선형강수대를 레이더 강우자료와 각 위험기상의 형태학적 특징을 이용하여 위험강우(선형강수, 정체형 강수, 선형-정체형 강수)를 분리하는 알고리즘을 적용하였다. 위험강우의 형태학적 특징과 정체특성은 종횡비, 누적 강수량, 강수영역 중첩 비율, 최대 강우량을 기준으로 구분한다. 3 km, 5 km 공간해상도의 누적강우량을 입력자료로 사용하여 2021년~2024년 5월부터 10월까지 국내 강우 사례를 대상으로 선형강수대 및 집중호우를 분리하고, 발생 위치 및 특성을 분석하였다. 3 km 해상도가 대표적인 선형강수대 사례에 대해 선형-정체형 강수 형태를 5 km 해상도보다 잘 분류하였다. 낮은 공간 해상도에서는 국지성 강우의 세부구조가 단순화되어 강우시스템이 과대 해석되는 경우가 있음을 확인하였다. 또한, 주요 홍수피해 사례에 대해서는 모두 형태학적 분류 알고리즘에 의해 선형강수대의 형태인 선형-정체형 강수 특성이 있었음을 확인할 수 있었다. 본 연구를 통해서 형태학적 위험기상 분류 알고리즘이 한국의 집중호우 분류에 유용함을 확인하였다.
Due to changes in rainfall patterns driven by climate change, the frequency and intensity of hazardous weather events such as localized heavy rain and line-shaped rainband systems that produce heavy rainfall over short periods are rapidly increasing. Early identification and prediction of the occurrence and intensity of such hazardous weather events are crucial for flood disaster response. This study adapted an algorithm to classify hazardous rainfall types (linear, stationary, and linear-stationary, others) using radar rainfall data and morphological characteristics of heavy rainfall and linear rainfall systems associated with extreme precipitation. Morphological features and stationary characteristics were distinguished based on aspect ratio, accumulated rainfall, rainfall area overlap ratio, and maximum rainfall. Using radar-based accumulated rainfall data at 3 km and 5 km spatial resolution, domestic rainfall cases from May to October 2021-2024 were analyzed to identify linear rainfall systems and heavy rainfall systems, and their occurrence locations and characteristics were examined. The 3 km resolution data more accurately classified linear-stationary rainfall patterns for typical linear rainfall system cases compared to 5 km resolution, it was confirmed that lower spatial resolution sometimes led to oversimplification of detailed structures of localized rainfall, resulting in misinterpretation of rainfall systems. Furthermore, for three major flood disaster cases, the morphological classification algorithm identified that linear-stationary rainfall types. This study confirmed the usefulness of the morphological hazardous weather classification algorithm for classifying heavy rainfall in Korea.
An Eyelid Detection Algorithm for the Iris Recognition SCOPUS
보안공학연구지원센터(IJSIA) International Journal of Security and Its Applications Vol.9 No.5 2015.05 pp.105-112
※ 원문제공기관과의 협약기간이 종료되어 열람이 제한될 수 있습니다.
To reduce the influence of the eyelid for the iris recognition rate, an eyelid detection algorithm for the iris recognition is proposed. The grayscale morphological operations are employed to remove the interference of the eyelash and the light spot to the eyelid region. The points of the minimum grayscale value of each column in the eyelid region are extracted as edge points. The least squares parabolic fitting eyelids is carried out for the edge points of the eyelid. The eyelid parabolic moving up and down in neighborhood region is used to localizing the eyelid precisely, when the grayscale mutation happens. The experimental results show that the eyelid localization algorithm can detect the eyelid effectively and quickly. Compared with the hough transform algorithm, the accurate rate is the same, but the speed is improved about 4 seconds.
An Iris Localization Algorithm based on Morphological Processing SCOPUS
보안공학연구지원센터(IJSIA) International Journal of Security and Its Applications Vol.9 No.3 2015.03 pp.153-162
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To improve the speed of iris localization, an iris localization algorithm based on the morphological processing is proposed with fast speed. Firstly, pupil area is segmented from eye image by thresholding, to remove eyelash noise and other noises from binaryzation pupil area by morphological open operation. Then, a series of structure element of radius increasing is used to make morphological erode operation on pupil area to localize roughly the inner boundary of the iris. Finally, calculus operator is employed to accurately localize the inner and outer iris boundary. 108 iris images from CASIA (Version 1.0) iris database are used to do iris localization experiments. The localization accurate rate of the proposed algorithm, calculus operator and hough transform is 97.2%, 90.3% and 92.1% respectively. Experiment results have showed that the proposed algorithm has a high performance on speed and precision with strong robustness to the different quality iris images.
Segmentation Algorithm for CT Images using Morphological Operation and Artificial Neural Network
보안공학연구지원센터(IJSIP) International Journal of Signal Processing, Image Processing and Pattern Recognition Vol.5 No.2 2012.06 pp.115-122
※ 원문제공기관과의 협약기간이 종료되어 열람이 제한될 수 있습니다.
Segmentation of pulmonary X-ray computed tomography (CT) images is a precursor to most pulmonary image analysis applications. Digital Image Processing is currently a hot research area in medicine and it is believed that they will receive extensive application to biomedical systems in the next few years. In Digital Image Processing, neural networks are ideal in recognizing diseases using scans since there is no need to provide a specific algorithm on how to identify the disease. This paper describes an algorithm to separate the lung tissue from a Chest CT to reduce the amount of data that needs to be analyzed. Our goal is to have a fully automatic algorithm for segmenting the lung tissue, and to separate the two lung sides as well. Fuzzy c-Means clustering is used to segment the lungs. Cleaning is performed to remove air, noise and airways. Finally, a sequence of morphological operations is used to smooth the irregular boundary. The database used for evaluation is taken from a radiology-teaching file. Our current evaluation shows that the applied segmentation algorithm works on a large number of different cases. The textural features were extracted from the segmented lungs and it was given as input to CFBP. The neural networks are used to identify the various lung diseases.
[Kisti 연계] 한국전자통신연구원 ETRI journal Vol.40 No.6 2018 pp.774-787
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Arabic handwriting segmentation and recognition is an area of research that has not yet been fully understood. Dealing with Arabic ligature segmentation, where the Arabic characters are connected and unconstrained naturally, is one of the fundamental problems when dealing with the Arabic script. Arabic character-recognition techniques consider ligatures as new classes in addition to the classes of the Arabic characters. This paper introduces an enhanced technique for Arabic handwriting recognition using the deep belief network (DBN) and a new morphological algorithm for ligature segmentation. There are two main stages for the implementation of this technique. The first stage involves an enhanced technique of the Sari segmentation algorithm, where a new ligature segmentation algorithm is developed. The second stage involves the Arabic character recognition using DBNs and support vector machines (SVMs). The two stages are tested on the IFN/ENIT and HACDB databases, and the results obtained proved the effectiveness of the proposed algorithm compared with other existing systems.
[Kisti 연계] 대한의용생체공학회 Journal of biomedical engineering research : the official journal of the Korean Society of Medical & Biological Engineering Vol.38 No.2 2017 pp.82-88
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Enlargement of the lateral ventricles have been identified as a surrogate marker of neurological disorders. Quantitative measure of the lateral ventricle from MRI would enable earlier and more accurate clinical diagnosis in monitoring disease progression. Even though it requires an automated or semi-automated segmentation method for objective quantification, it is difficult to define lateral ventricles due to insufficient contrast and brightness of structural imaging. In this study, we proposed a fully automated lateral ventricle segmentation method based on a graph cuts algorithm combined with atlas-based segmentation and connected component labeling. Initially, initial seeds for graph cuts were defined by atlas-based segmentation (ATS). They were adjusted by partial volume images in order to provide accurate a priori information on graph cuts. A graph cuts algorithm is to finds a global minimum of energy with minimum cut/maximum flow algorithm function on graph. In addition, connected component labeling used to remove false ventricle regions. The proposed method was validated with the well-known tools using the dice similarity index, recall and precision values. The proposed method was significantly higher dice similarity index ($0.860{\pm}0.036$, p < 0.001) and recall ($0.833{\pm}0.037$, p < 0.001) compared with other tools. Therefore, the proposed method yielded a robust and reliable segmentation result.
Recognition of Car License Plates using Morphological Information and SOM Algorithm
[Kisti 연계] 한국지능시스템학회 한국지능시스템학회 학술대회논문집 2003 pp.648-651
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In this paper, we propose the recognition system of a license plate using SOM algorithm. The recognition of license plate was investigated by means of the SOM algorithm. The morphological information of horizontal and vertical edges was used to extract a plate region from a car image. In addition, the 4-direction contour tracking algorithm was applied to extract the specific area, which includes characters from an extracted plate area. Therefore, we proposed how to extract license plate region using morphological information and how to recognize the character string using SOM algorithm. In this paper, 50 car images were tested. The extraction rate obtained by the proposed extraction method showed better results than that from the color information of RGB and HSI, respectively. And the license plate recognition using SOM algorithm was very efficient.
[Kisti 연계] 한국방사성폐기물학회 Journal of Nuclear Fuel Cycle and Waste Technology Vol.22 No.3 2024 pp.301-311
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Hydride analysis is required to assess the mechanical integrity of spent nuclear fuel cladding. Image segmentation, which is a hydride analysis method, is a technique that can analyze the orientation and distribution of hydrides in cladding images of spent nuclear fuels. However, the segmentation results varied according to the image preprocessing. Inaccurate segmentation results can make hydride difficult to analyze. This study aims to analyze the segmentation performance of the Otsu algorithm according to the morphological operations of cladding images. Morphological operations were applied to four different cladding images, and segmentation performance was quantitatively compared using a histogram, between-class variance, and radial hydride fraction. As a result, this study found that morphological operations can induce errors in cladding images and that appropriate combinations of morphological operations can maximize segmentation performance. This study emphasizes the importance of image preprocessing methods, suggesting that they can enhance the accuracy of hydride analysis. These findings are expected to contribute to the advancements in integrity assessment of spent nuclear fuel cladding.
[Kisti 연계] 한국마린엔지니어링학회 한국마린엔지니어링학회지 Vol.36 No.5 2012 pp.645-661
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Recently, pirates are infesting on the sea and they have been hijacking the several vessels for example Samho Dream and Samho Jewelry of Korea. One of the items to reduce the risk is to adopt the invader detection system. If the pirates break in to the ship, the detection system can monitor the pirates and then call the security alarm. The crew can gain time to hide to the safe room and the report can be automatically sent to the control room to cope with the situation. For the invader detection, an unmanned observation system was proposed using the image detection algorithm that extracts the invader image from the recording image. To detect the motion area, the difference value was calculated between the current image and the prior image of the invader, and the 'AND' operator was used in calculated image and edge line. The image noise was reduced based on the morphology operation and then the image was transformed into morphological information. Finally, a neural network model was applied to recognize the invader. In the experimental results, it was confirmed that the proposed approach can improve the performance of the recognition in the invader monitoring system.
[Kisti 연계] 한국농업기계학회 Journal of Biosystems Engineering Vol.38 No.1 2013 pp.55-63
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Purpose: The present study aimed at image processing methods for automatic cell pattern recognition and morphological analysis for tissue engineering applications. The primary aim was to ascertain the novel algorithm of adaptive brightness correction from microscopic images for use as a potential image analysis. Methods: General microscopic image of cells has a minor problem which the central area is brighter than edge-area because of the light source. This may affect serious problems to threshold process for cell-number counting or cell pattern recognition. In order to compensate the problem, we processed to find the central point of brightness and give less weight-value as the distance to centroid. Results: The results presented that microscopic images through the brightness correction were performed clearer than those without brightness compensation. And the classification of mixed cells was performed as well, which is expected to be completed with pattern recognition later. Beside each detection ratio of hBMSCs and HeLa cells was 95% and 92%, respectively. Conclusions: Using this novel algorithm of adaptive brightness correction could control the easier approach to cell pattern recognition and counting cell numbers.
그레이 스케일 골격선 영상으로부터 새로운 형태론적 이진영상의 복원
[Kisti 연계] 대한전자공학회 電子工學會論文誌. Journal of the Korea institute of telematics and electronics. B Vol.b33 No.2 1996 pp.111-117
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In tis paper, a new morphological algorihtm for binary image reconstruction from graayscale skeleton is proposed. In the proposed algorithm, grayscale morphological dilation is utilizedm instead of binary morphological operatons for the conventional methods. The algorithm is proven mathematically and verified by computer simulation results.
[Kisti 연계] 대한전자공학회 電子工學會論文誌. Journal of the Korean Institute of Telematics and Electronics S. S Vol.s36 No.9 1999 pp.67-75
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본 논문에서는 패턴인식과 영상압축을 목적으로 2-D 영상내에 포함되어 있는 물체들의 복잡한 형상을 형태론적 연산을 이용하여 단순한 원시형상 요소들로 분해하는 방법에 관해 연구하였다. 기존의 형태론적 형상분해 알고리즘에서 가장 큰 문제점은 형상을 표현하고 기술하는데 필요한 원시형상 요소의 수가 너무 많이 생성된다는 것이다. 본 연구에서는 이러한 문제점을 개선하기 위하여 형상의 기하학적인 특징과 가장 유사한 원시형상 요소와 4개의 스캔모드를 사용하는 형상분해법을 새롭게 제안하였다. 제안된 알고리즘은 4개의 스캔모드를 사용해서 원판, 정사각형, 마름모 꼴 등으로 구성되는 원시형상 요소를 추출하는 방법이다. 이와 같은 알고리즘은 기술 오차를 줄이면서 원시형상 요소의 수를 줄여 기술효율을 높일 수 있는 방법으로 최소의 중복성을 보장할 수 있으며, 알고리즘이 단순하고 계산시간이 감소한다는 특징이 있다.
In this paper, a shape decomposition method using morphological operations is studied for decomposing the complex shape in 2-D image into its simple primitive elements. The serious drawback of conventional shape representation algorithm is that primitive elements are extracted too much to represent and to describe the shape. To solve these problems, a new shape decomposition algorithm using primitive elements tat are similar to the geometrical characteristics of shape and 4 scan modes is proposed in this study. The multiple primitive elements as circle, square, and rhombus are extracted by using multiscan modes in a new algorithm. This algorithm have chatacteristics that description error and number of primitive elements is reduced. Then, description efficiency is improved. The procedures is also simple and the processing time is reduced.
[Kisti 연계] 한국멀티미디어학회 한국멀티미디어학회 학술대회논문집 2001 pp.103-106
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최근 들어 인간의 의지를 컴퓨터에 전달하기 위한 수단으로 컴퓨터 시각기반 방식으로 제스처를 인식하고자 하는 연구가 널리 진행되고 있다. 제스처 인식에서 가장 중요한 문제는 실시간 처리로 알고리즘의 단순화와 처리시간의 감소이다. 이러한 문제를 해결하기 위해서 본 연구에서는 기하학적 집합론에 근거하고 있는 수학적 형태론을 적용하였다. 형태론적 형상분해를 적용하여 얻은 손짓 형상의 원시형상 요소들의 방향성은 손짓에 관한 중요한 정보를 내포하고 있으며 이러한 특징에 근거하여 본 연구에서는 주 원시형상 요소와 부 원시형상원소의 중심점을 연결하는 직선으로부터 특징벡터를 이용한 형태론적 제스처 인식 알고리즘을 제안하고 실험을 통하여 그 유용성을 증명한다.
지능형 교통 시스템을 위한 형태학적 차량 분류 알고리즘
[Kisti 연계] 한국멀티미디어학회 멀티미디어학회논문지 Vol.5 No.1 2002 pp.10-17
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제한된 도로 여건 하에서 대중 교통 활성화를 위해 전용차로 운영을 위한 지능형 무인 관리 시스템의 필요성이 대두되고 있다. 본 논문에서는 수리 형태학적 영상 처리 및 인식 기법을 적용하여 차량 검지 자동화 시스템을 연구하였다. 배경과 분리된 차량 객체 영상을 추출하였으며, 형태학적 골격을 분석하여 골격 히스토그램으로부터 차종 분류를 위한 새로운 유일 가중 골격 특징을 추출하는 알고리즘을 제안하였다. 실험을 통해 제안한 차종 분류 알고리즘이 승용차, 트럭 등의 차종 인식에 효과적임을 볼 수 있었다.
It is necessary to induce for using mass transit instead of passenger car, which is high occupied roadway. It is necessary to develop the automated enforcement system to do manage such things. There are lots of problems to enforce the exclusive roadway. One of the biggest problem is the difficulty of vehicle classification. In this paper, morphological vehicle classification algorithm is proposed. Vehicle object is separated from background using frame difference, then the proposed unique weighted skeleton feature is extracted. The experiments show that the vehicle identification results produced by weighted skeleton feature seem to be good quality.
비디오 컨텐츠 검색을 위한 형태론적 손짓 인식 알고리즘
[Kisti 연계] 대한전자공학회 대한전자공학회 학술대회논문집 2001 pp.37-40
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The most important issues in gesture recognition are the simplification of algorithm and the reduction of processing time. The mathematical morphology based on geometrical set theory is best used to perform the real-time processing. A key idea of the algorithm proposed in this paper is to apply morphological shape decomposition. The primitive elements extracted from a hand gesture have very important information including the directivity of the hand gestures. Based on this algorithm, we proposed the morphological hand-gesture recognition algorithm using feature vectors extracted from lines connecting the center points of a main-primitive element and sub-primitive elements. Through the experiments, we applied to the video contents browsing system with natural interactions and demonstrated the efficiency of this algorithm.
컬러 프린터 영상의 모폴로지 특징과 지도 학습 모델 분류기를 활용한 위변조 지폐 판별 알고리즘
[Kisti 연계] 한국정보처리학회 정보처리학회논문지/소프트웨어 및 데이터 공학 Vol.2 No.12 2013 pp.889-898
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고성능 영상 장비의 대중화와 강력한 이미지 편집 소프트웨어의 출현으로 인해 지폐 및 유가 증권 등을 고품질로 위변조가 가능해졌다. 특히 컬러 레이저 프린터의 범용화로 인하여 화폐 위변조 범죄는 급격히 증가하고 있지만, 일반인이 이를 판별하는 비율은 낮은 수준이며 판별 기기도 고가이다. 본 연구에서는 범용 스캐너와 컴퓨터 시스템을 활용하여 화폐의 위변조를 탐지하기 위한 알고리즘을 제안하였다. 먼저 지폐의 인쇄방식과 다른 컬러 프린터의 인쇄 특징을 계산하기 위하여 모폴로지 기술과 명암도 동시 발생 행렬을 활용하였다. 그 후 계산된 특징들을 지도학습 모델 분류기에 적용하여 훈련을 시켰다. 이렇게 훈련된 분류기에 판별을 위한 지폐를 입력하고 위변조 여부에 대한 분석을 수행한다. 제안한 알고리즘의 성능을 분석하기 위하여 위변조 지폐의 판별률과 인쇄에 사용한 프린터의 판별률로 나누어 평가를 하였다. 또한 기존의 컬러 프린터 판별에 사용되었던 위너필터를 사용한 기술과 비교를 수행하였다. 그 결과 제안한 알고리즘이 위변조 지폐 식별에 있어서 91.92%, 위변조기기의 식별에 있어서 94.5% 이상 정확도를 보여 기존 컬러 프린터의 특징 추출 방법을 활용한 것보다 우수한 것으로 나타났다.
Due to the popularization of high-performance capturing equipments and the emergence of powerful image-editing softwares, it is easy to make high-quality counterfeit money. However, the probability of detecting counterfeit money to the general public is extremely low and the detection device is expensive. In this paper, a counterfeit money detection algorithm using a general purpose scanner and computer system is proposed. First, the printing features of color printers are calculated using morphological operations and gray-level co-occurrence matrix. Then, these features are used to train a support vector machine classifier. This trained classifier is applied for identifying either original or counterfeit money. In the experiment, we measured the detection rate between the original and counterfeit money. Also, the printing source was identified. The proposed algorithm was compared with the algorithm using wiener filter to identify color printing source. The accuracy for identifying counterfeit money was 91.92%. The accuracy for identifying the printing source was over 94.5%. The results support that the proposed algorithm performs better than previous researches.
적응 형태학적 WCNN 알고리즘을 이용한 컬러 영상 에지 검출 연구
[Kisti 연계] 한국지능시스템학회 한국지능시스템학회 학술대회논문집 2004 pp.201-205
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The digital color image can be distorted by noise for a transmission or other elements of system. It happens to vague of a boundary side in the division of a color image object, especially, boundary side of an input color image is very important because it can be determined to the division and detection element in pattern recognition. Therefore it is boundary part In this paper, it detects the optimal edge with applying this color image to WCNN algorithm, after it does level up a boundary side of a color image by using the adaptive morphology as the threshold of an input color image. Also, it is used not a conventional fixed mask edge detection method but variable mask method which is cal led a variable BBM. It is confirmed by simulation that the proposed algorithm can be got the batter result edge at the place of closing to each edges and having smoothly curved line.
형태학적 특징과 퍼지 ART 알고리즘을 이용한 신 차량 번호판 인식에 관한 연구
[Kisti 연계] 한국컴퓨터정보학회 Journal of the Korea society of computer and information Vol.13 No.6 2008 pp.273-278
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신 차량 번호판 차량이 꾸준히 증가함에 따라, 교통위반 단속, 무인 주차 관리 시스템, 범죄 및 도난 차량 검거를 위한 신 자동차 번호판의 특징에 맞는 인식 시스템이 요구되고 있다. 따라서 본 논문에서는 이러한 문제를 해결하기 위해 지능형 신 자동차 번호판 인식 방법을 제안하였다. 무인 카메라에서 획득된 신 차량 영상을 그레이 레벨로 변환한 후에 블록 이진화한다. 블록 이진화된차량 영상을 대상으로 차량의 형태학적 특징을 적용하여 잡음을 제거한 후, 번호판 영역을 추출한다. 추출된 번호판 영역에 대해 Grassfire 알고리즘을 적용하여 개별 코드를 추출한다. 차량 번호판을 인식하기 위하여 추출된 개별 코드를 퍼지 ART 알고리즘을 적용하여 학습 및 인식한다. 제안된 차량 번호판 추출 및 인식 방법의 성능을 평가하기 위해 100장의 차량 영상을 대상으로 실험한 결과, 제안된 차량 번호판 추출 및 인식 방법이 실험을 통해서 효율적인 것을 확인하였다.
Cars attaching new license plates are increasing after introducing the new format of car license plate in Korea. Therefore, a car new license plate recognition system is required for various fields using automatic recognition of car license plates, automatic parking management systems and arrest of criminal or missing vehicles. In this paper, we proposed an intelligent new car license plate recognition method for the various fields. The proposed method is as follows. First of all, an acquired color image from a surveillance camera is converted to a gray level image and binarized by block binarization method. Second, noises of the binarized image removed by morphological characteristics of cars and then license plate area is extracted. Third, individual characters are extracted from the extracted license plate area using Grassfire algorithm. lastly, the extracted characters are learned and recognized by a fuzzy ART algorithm for final car license plate recognition. In the experiment using 100 car images, we could see that the proposed method is efficient.
형태학적 연산과 뇌종양 평균 크기를 이용한 감마나이프 치료 범위 자동 검출 알고리즘
[Kisti 연계] 한국멀티미디어학회 멀티미디어학회논문지 Vol.18 No.10 2015 pp.1189-1196
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In this paper, we proposed automatic extraction of brain tumor using morphological operation and statistical tumors size in MR images. Neurosurgery have used gamma-knife therapy by MR images. However, the gamma-knife plan systems needs the brain tumor regions, because gamma-ray should intensively radiate to the brain tumor except for normal cells. Therefore, gamma-knife plan systems spend too much time on designating the tumor regions. In order to reduce the time of designation of tumors, we progress the automatical extraction of tumors using proposed method. The proposed method consist of two steps. First, the information of skull at MRI slices remove using statistical tumors size. Second, the ROI is extracted by tumor feature and average of tumors size. The detection of tumor is progressed using proposed and threshold method. Moreover, in order to compare the effeminacy of proposed method, we compared snap-shot and results of proposed method.
모폴로지 연산에 사용되는 볼록 구조요소의 분해를 위한 알고리듬
[Kisti 연계] 한국시뮬레이션학회 한국시뮬레이션학회논문지 Vol.13 No.1 2004 pp.11-23
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The decomposition of a structuring element for a morphological operation reduces the amount of the computation required for executing the operation. In this paper, we present a new technique for the decomposition of convex structuring elements for morphological operations. We formulated the linear constraints for the decomposition of a convex polygon in discrete space, then the constraints are applied to the decomposition of a convex structuring element. Also, a cost function is introduced to represent the optimal criteria for decomposition. We use linear integer programming technique to find the combination of basis structuring elements which minimizes the amount of the computation required for executing the morphological operation. Formulating different cost functions for different implementation methods and computer architectures, we can determine the optimal decompositions which guarantee the minimal amounts of computation on different computing environment.
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