• Title/Summary/Keyword: Mathematical Morphology

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A Study on Progressive Removing Radar Clutter by Wavelet and Recursive Mathematical Morphology (Wavelet과 반복적 수리형태학을 이용한 레이더 클러터의 점진적 제거에 관한 연구)

  • Jeong, Gi-Ryong
    • Journal of Navigation and Port Research
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    • v.26 no.2
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    • pp.209-213
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    • 2002
  • MRA(Multi-resolution analysis) algorithm by Wavelet and morphology with $3{\times}3$ SQ(square) SE(structure element) is efficient to remove ship's radar clutter progressively and enhances detecting performance. Smoothing efficiency of RMM (Recursive mathematical Morphology) is better than that of Morphology. So, to get a better result than that of old algorithms, this paper proposes a new MRA algorithm which uses Wavelet and Recursive mathematical Morphology with $3{\times}3$ RHR(rhombus) SE. Simulation result of the proposed algorithm shows that PSNR is 0.65~1.50db better than that of old method.

Objective Assessment of Mathematical Morphology Operators to Improve the Accuracy of Background Subtraction for Soccer Videos: An Experimental Comparative Study (축구 동영상의 배경 분리 정확도 향상을 위한 수학적 모폴로지 연산자들의 정량적 비교 평가에 관한 연구)

  • Jung, Chanho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.12
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    • pp.1752-1755
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    • 2016
  • In this letter, to determine how mathematical morphology operators can be best used to enhance the accuracy of background subtraction for "soccer videos", we conducted an experimental comparative study. We investigated six different mathematical morphology operators under the same experimental setup. We found that the closing by reconstruction-opening by reconstruction is optimal through the experiments using the F-measure. We believe that this comprehensive comparative study serves as a reference point and guide for developers and practitioners in choosing an appropriate mathematical morphology operator adopted for building intelligent soccer video analysis systems.

Noise Reduction using Fuzzy Mathematical Morphology

  • Kikuchi, Takuo;Nakatsuyama, Mikio;Murakam, Shuta
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.745-749
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    • 1998
  • Mathematical morphology (MM) has been introduced as a powerful tool for studying the geometrical properties of images, MM is a good approach to digital image processing , which is based on the shape feature. The MM operators such as dilation, erosion, closing and opening have been applied successfully to image noise reduction. The MM filters can easily filter the noise when the noise factors are known. However it is very difficult to reduce the noise when images are ambiguous, because the boundary between the noise and object is vague. In this paper, we propose a new method to reduce noise from ambiguous images by using Fuzzy Mathematical Morphology (FMM) operators. Performance evaluation via simulations show that the FMM filters efficiently reduce the image noise. Furthermore, the FMM filters show a good performance compared with the conventional filters.

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The Skeletonization of 2-Dimensional Image for Fuzzy Mathematical Morphology using Defuzzification (비퍼지화를 이용한 퍼지 수학적 형태학의 2차원 영상의 골격화)

  • Park, In-Kue;Lee, Wan-Bum
    • Journal of Digital Contents Society
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    • v.9 no.1
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    • pp.53-60
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    • 2008
  • Based on similarities between fuzzy set theory and mathematical morphology, Grabish proposed a fuzzy morphology based on the Sugeno fuzzy integral. This paper proposes a fuzzy mathematical morphology based on the defuzzification of the fuzzy measure which corresponds to fuzzy integral. Its process makes a fuzzy set used as a measure of the inclusion of each fuzzy measure for subsets. To calculate such an integral a $\lambda$-fuzzy measure is defined which gives every subsets associated with the universe of discourse, a definite non-negative weight. Fast implementable definitions for erosion and dilation based on the fuzzy measure was given. An application for robust skeletonization of two-dimensional objects was presented. Simulation examples showed that the object reconstruction from their skeletal subsets that can be achieved by using the proposed was better than by using the binary mathematical morphology in most cases.

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Local Detection of Road Using Mathematical Morphology On Airborne SAR Image

  • Yang, Jin-Hyun;Moon, Wooil-M.
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.17-22
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    • 2002
  • This paper is concerned with a local detection of road on an airborne SAR image. The roads can be characterized by their geometry and radiometry. Roads are assumed as linear, thin, and elongated objects that are darker than their surroundings on an airborne SAR image. With these assumptions, a series of morphological filters are applied and tested successively. This approach is simple and almost non parametric and has been successfully applied to an airborne SAR image.

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String extraction from text-background mixed documents using mathematical morphology (텍스트-배경무늬 혼합문서로부터 수리형태학을 이용한 문자열 추출)

  • 성연진;어진우
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.10
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    • pp.104-111
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    • 1997
  • It is known as a difficult problem to recognize text-background mixed documents. In this paper a new string extraction algorithm, using mathematical morphology for the document consisting of text and overlapped periodic background pattern, is proposed. The algorithm consists of pattern periodicity feature extraction and background removal. The extracted pattern periodicity feature is used to determine the shape of structuring elements for morphological pre- and post-processing to remove background. The effectiveness of the proposed algorithm over the existing one is also verified through the experiments with various test documents.

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Image Segmentation Improvement by Selective Application Structuring Element of Mathematical Morphology (수리 형태학의 선택적 구조요소 적용에 의한 영상 분할의 성능 개선)

  • 오재현;김성곤;김종협;신홍규;김환용
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.1972-1975
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    • 2003
  • Video segmentation is an essential part in region-based video coding and any other fields of the video processing. Among lots of methods proposed so far, the watershed method in which the region growing is performed for the gradient image can produce well-partitioned regions globally without any influence on local noise and extracts accurate boundaries. But, it generates a great number of small regions, which we call over segmentation problem. Therefore we proposes image segmentation improvement by selective application structuring element of mathematical morphology.

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3D Video Segmentation using mathematical Morphology (수리 형태론을 이용한 3차원 비디오 분할)

  • 김해룡;김남철
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1995.06a
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    • pp.143-148
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    • 1995
  • In this paper, we describe a fast 3D video segmentation method using mathematical morphology. The proposed 3D video segmentation algorithm is composed of intra-frame segmentation step and inter-frame segmentation step. In the intra-frame segmentation step, the first frame is segmented using the fast hierarchical segmentation method. Then, in the inter-frame segmentation step, the next frames are segmented using markers that are extracted from the difference of previous segmentation result and simplified present image. Experimental results show that the proposed method has more fast structure and is suitable for video segmentation.

Fuzzy Mathematical Morphology Ensuring Geometric Morphological Transformations (기하학적 형태 변환을 보장하는 퍼지 수학적 형태학)

  • 윤창락;김황수
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.6
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    • pp.525-532
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    • 2000
  • 본 논문은 영상에서 형태적 정보를 추출하는데 사용되는 수학적 형태학(mathematical morphology)에 퍼지 집합 이론을 적용하여 새로운 퍼지 수학적 형태학을 제안한다. 일반적인 수학적 형태학은 이진 영상에만 적용되는 한계를 가지고 있었다. 이를 그레이 스케일 영상에도 적용 가능하도록 한 Sinha와 Dougherty[8]이 제안한 방법도 기하학적 형태 변환을 보장하지 못하는 결점이 있었는데 본 논문에서는 그 결점을 제거하는 새로운 수축(erosion)과 확장(dilation) 연산을 정의하고 그 특성을 연구하였다. 본 논문이 제안한 방법과 [8]의 방법을 실제 영상에 대한 실험으로 비교하였다.

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A Novel Fuzzy Morphology, Part I : Definitins

  • Yonggwan Won;Lee, Bae-Ho
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.45-51
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    • 1995
  • A novel definition for fuzzy mathematical morphology is described The generalized-mean operator plays the key role for this definition. Several hard constraints for standard generalized-mean have been eliminated. Complete mathematical description for obtaining fuzzy erosion and dilation is provided. The definitions are well suited for neural network implementation. Therefore, the parameters for the fuzzy definition can be optimized using neural network learning paradigm.

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