• Title/Summary/Keyword: Mathematical morphology

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Modeling of Fine Cracks using Fuzzy Mathematical Morphology (퍼지 수학적 형태학을 이용한 미세균열 모델링)

  • Park, In-Kyoo;Choi, Gyoo-Seok
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.5
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    • pp.105-111
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    • 2010
  • In this paper the elasticity of fault-detection algorithm based on fuzzy logic is proposed through lots of experiments, justifying its validity. The four mathematical morpholgical operators was defined to detect the cracks. The cracks was detected via center of area method with ${\lambda}$-fuzzy measure of fuzzy sets. However generally favorable, the result owes to how adequate the lighting device is designed in case of the so far fine crack of pieces. In an attempt to improve the response of the system, It is designed to minimize the use of memory via LookUp table in software.

A Study on Pyramid of Binary Image Using Mathematical Morphology (수학적 형태학을 이용한 이진 영상의 피라미드에 관한 연구)

  • 엄경배;김준철;이준환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.9
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    • pp.1239-1247
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    • 1993
  • Mathematical morphology based on the set theory has been applied to various areas in image processing. In this study, we propose a new pyramid structure for binary images based on the morphological operations. We use a specific class of structuring elements to shrink or expand images, and prove that the whole operations are separable to construct the pyramid. Through a simulation study, we show that the pyramid can be used as a progressive image coding.

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Three-dimensional morphological evaluation of the hard palate in Korean adults with mild-to-moderate obstructive sleep apnea

  • Yu, Chen;Ahn, Hyo-Won;Kim, Seong-Hun
    • The korean journal of orthodontics
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    • v.48 no.3
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    • pp.133-142
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    • 2018
  • Objective: The purpose of this study was to evaluate differences in three-dimensional (3D) morphology of the hard palate between Korean adults with and without mild-to-moderate obstructive sleep apnea (OSA) using cone-beam computed tomographic (CBCT) data. Methods: The protocol for the two-dimensional (2D) and 3D mathematical modeling was established by analyzing CBCT images of 30 adults with OSA and 30 matched controls without OSA, using MIMICS software. The linear and angular measurements were also determined using this software. The measurements were repeated for 30 palates, by the same operator, to assess reliability. Results: The palates of OSA patients were higher in the posterior part and narrower in the anterior-superior part than those of the control group (p < 0.05). The nasal cavities of patients with OSA were narrower (p < 0.05) than those of controls. The increasing angle of the first molar palatal root is a compensation of the upper dental arch to improve occlusion. However, for most palatal measurements, there were no significant differences between the OSA and control groups (p > 0.05). The results of 2D and 3D mathematical models were consistent for linear and angular measurements, indicating that 2D and 3D mathematical modeling of the palate is a reliable methodology. Conclusions: OSA is a multifactorial disease; the palates of adults with mild-to-moderate OSA do not have specific morphological features distinct from those of healthy controls.

Mathematical Modeling with Cell Morphology and Its Application to Fed-batch Culture in Cephalosporium Fermentation (Cephalosporium 발효시 균체의 형태학적 측면을 고려한 수학적 모델링 및 유가식 배양에의 응용)

  • 김의용;유영제
    • Microbiology and Biotechnology Letters
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    • v.19 no.5
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    • pp.521-535
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    • 1991
  • A kinetic model incorporating cell morphology in cephalosporin C biosynthesis by Cephalosporium amemoniurn was developed. The double-substrate Double-substrate kinetic model was used to describe cell growth. Methionine controlled the rate of growth while glucose ultimately controlled the extent of growth. The changes in specific product formation rate were associated with morphologenesis, especially cell differentiation. To increase the productivity of cephalosporin C, the proposed model equations were applied to a fed-batch culture. The algorithm to optimize the fed-batch culture consists of two steps; cell growth was maximized in the growth phase and then cephalosporin C production was maximized in the production phase. The increase of about 33% in the cephalosporin C titre was obtained by the optimal feeding scheduling in comparison with that of batch culture.

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Mathematical Morphology Guided Automatic Unwrapping Isoclinic Phase Map in White Light Photoelasticity

  • Liu, Xiaomeng;Dai, Shuguang
    • Journal of the Optical Society of Korea
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    • v.19 no.6
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    • pp.643-648
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    • 2015
  • By comparing the results calculated by atan() and atan2() functions, the correctly estimated region of isoclinic phase map is determined using morphological techniques. The isoclinic phase map is automatically unwrapped in the true phase range -π/2 to π/2. Demonstrations of the method on a disc and a ring under diametral compression are performed. Test results compare well with the theoretical results. Furthermore, the influences of principal stress direction and the range of isoclinic phase upon stress separation are discussed.

Vehicle Detection in Tunnel using Gaussian Mixture Model and Mathematical Morphological Processing (가우시안 혼합모델과 수학적 형태학 처리를 이용한 터널 내에서의 차량 검출)

  • Kim, Hyun-Tae;Lee, Geun-Hoo;Park, Jang-Sik;Yu, Yun-Sik
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.5
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    • pp.967-974
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    • 2012
  • In this paper, a vehicle detection algorithm with HD CCTV camera images using GMM(Gaussian Mixture Model) algorithm and mathematical morphological processing is proposed. At the first stage, background could be estimated using GMM from CCTV input image signal and then object could be separated from difference image of the input image and background image. At the second stage, candidated object were reformed by using mathematical morphological processing. Finally, vehicle object could be detected using vehicle size informations depend on distance and vehicle type in tunnel. Through real experiments in tunnel, it is shown that the proposed system works well.

Vehicle License Plate Detection Based on Mathematical Morphology and Symmetry (수리 형태론과 대칭성을 이용한 자동차 번호판 검출)

  • Kim, Jin-Heon;Moon, Je-Hyung;Choi, Tae-Young
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.2
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    • pp.40-47
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    • 2009
  • This paper proposes a method for vehicle license plate detection using mathematical morphology and symmetry. In general, the shape, color, size, and position of license plate are regulated by authorities for a better recognition by human. Among them, the relatively big intensity difference between the letter and the background region of the license plate and the symmetry about the plate are major discriminating factors for the detection. For the first, the opened image is subtracted from the closed image to intensify the region of plate using the rectangular structuring element which has the width of the distance between two characters. Second the subtraction image is average filtered with the mask size of the plate. Third, the column maximum graph of the average filtered image is acquired and the symmetry of the graph is measured at every position. Fourth, the peaks of the average filtered image are searched. Finally, the plate is assumed to be positioned around the one of local maxima nearest to the point of the highest symmetry. About 1,000 images taken by speed regulation camera are used for the experiment. The experimental result shows that the plate detection rate is about 93%.

Optimization and modification of PVDF dual-layer hollow fiber membrane for direct contact membrane distillation; application of response surface methodology and morphology study

  • Bahrami, Mehdi;Karimi-Sabet, Javad;Hatamnejad, Ali;Dastbaz, Abolfazl;Moosavian, Mohammad Ali
    • Korean Journal of Chemical Engineering
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    • v.35 no.11
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    • pp.2241-2255
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    • 2018
  • RSM methodology was applied to present mathematical models for the fabrication of polyvinylidene fluoride (PVDF) dual-layer hollow fibers in membrane distillation process. The design of experiments was used to investigate three main parameters in terms of polymer concentration in both outer and inner layers and the flow rate of dope solutions by the Box-Behnken method. According to obtained results, the optimization was done to present the proper membrane with desirable properties. The characteristics of the optimized membrane (named HF-O) suggested by the Box-Behnken (at the predicted point) showed that the proposed models are strongly valid. Then, a morphology study was done to modify the fiber by a combination of three types of a structure such as macro-void, sponge-like and sharp finger-like. It also improved the hydrophobicity of outer surface from 87 to $113^{\circ}$ and the mean pore size of the inner surface from 108.12 to 560.14 nm. The DCMD flux of modified fiber (named HF-M) enhanced 62% more than HF-O when it was fabricated by considering both of RSM and morphology study results. Finally, HF-M was conducted for long-term desalination process up to 100 hr and showed stable flux and wetting resistance during the test. These stepwise approaches are proposed to easily predict the main properties of PVDF dual-layer hollow fibers by valid models and to effectively modify its structure.

Image Edge Detection Algorithm applied Directional Structure Element Weighted Entropy Based on Grayscale Morphology (그레이스케일 형태학 기반 방향성 구조적 요소의 가중치 엔트로피를 적용한 영상에지 검출 알고리즘)

  • Chang, Yu;Cho, JoonHo;Moon, SungRyong
    • Journal of Convergence for Information Technology
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    • v.11 no.2
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    • pp.41-46
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    • 2021
  • The method of the edge detection algorithm based on grayscale mathematical morphology has the advantage that image noise can be removed and processed in parallel, and the operation speed is fast. However, the method of detecting the edge of an image using a single structural scale element may be affected by image information. The characteristics of grayscale morphology may be limited to the edge information result of the operation result by repeatedly performing expansion, erosion, opening, and containment operations by repeating structural elements. In this paper, we propose an edge detection algorithm that applies a structural element with strong directionality to noise and then applies weighted entropy to each pixel information in the element. The result of applying the multi-scale structural element applied to the image and the result of applying the directional weighted entropy were compared and analyzed, and the simulation result showed that the proposed algorithm is superior in edge detection.

Block-based Color Image Segmentation Using HSV Color Space. (HSV 칼라를 이용한 블록단위 영상 분할)

  • 서동하;임재혁;원치선
    • Proceedings of the IEEK Conference
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    • 2000.09a
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    • pp.651-654
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    • 2000
  • 본 논문에서는 칼라 영역으로 확장된 블록단위 영상분할 알고리듬을 제안한다. 즉, 기존의 휘도 성분을 기반으로 한 블록단위 알고리듬을 HSV 칼라 성분을 기반으로 하는 칼라 영상분할로 확장한다. 기존의 수학적 형태학(mathematical morphology)에 기반한 영상분할기법이나 블록단위 영상분할 기법들이 밝기 정보만을 활용했던 것에 대해 제안된 블록단위 영상분할 기법은 밝기뿐만이 아니라 칼라 성분도 고려하여 영상분할의 정확도를 향상시켰다. 실험의 결과 휘도 성분만을 고려한 영상분할 결과 보다 칼라 성분을 사용한 영상분할의 결과가 더 정확함을 알 수 있었다.

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