• 제목/요약/키워드: smoothness and regularity

검색결과 4건 처리시간 0.016초

Using Bayesian Approaches to Reduce Truncation Artifact in Magnetic Resonance Imaging

  • 이수진
    • 대한의용생체공학회:의공학회지
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    • 제19권6호
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    • pp.585-593
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    • 1998
  • 퓨리에 자기공명영상 기법의 경우 촬영시간 단축 및 적절한 신호대잡음비 유지를 위해 phase-encoded 신호의 개수를 감소시키는 경우가 종종 있다. 그러나, 이는 재구성된 영상에 번짐과 물결무늬 형태의 truncation artifact를 초래한다. 본 논문에서는 이러한 truncation artifact를 감소시키기 위해 Bayesian 방법에 근거한 새로운 정칙화기법을 제안한다. Truncation artifact는 phase 방향으로만 형성되므로 종전의 상호 대칭형태의 주변화소를 고려한 piecewise smoothness 사전정보를 사용할 경우 read 방향으로의 미세한 영상정보가 유실되기 쉽다. 따라서, 본 연구에서는 종전의 단순대칭형 보다 개선된 형태로서 자기공명영상의 공간정보를 포착할 수 있는 정교한 사전정보의 형태를 제안한다. 본 연구진의 실험결과 새롭게 제안된 방법으로 적용할 경우 truncation artifact가 감소될 뿐 아니라 종전의 미세정보유실 현상이 감소됨으로써 tissue regularity와 경계가 한층 더 향상됨을 확인할 수 있었다.

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GRADIENT TYPE ESTIMATES FOR LINEAR ELLIPTIC SYSTEMS FROM COMPOSITE MATERIALS

  • Youchan Kim;Pilsoo Shin
    • 대한수학회지
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    • 제60권3호
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    • pp.635-682
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    • 2023
  • In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the weak solutions and which is not only locally piecewise Hölder continuous but locally Hölder continuous. The gradient of the weak solutions can be estimated by this derived function and we also prove the local piecewise gradient Hölder continuity which was obtained by the previous results.

A Novel Image Completion Algorithm Based on Planar Features

  • Xiao, Mang;Liu, Yunxiang;Xie, Li;Chen, Qiaochuan;Li, Guangyao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권8호
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    • pp.3842-3855
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    • 2018
  • A novel image completion method is proposed that uses the advantage of planar structural information to fill corrupted portions of an image. First, in estimating parameters of the projection plane, the image is divided into several planes, and their planar structural information is analyzed. Second, in calculating the a priori probability of patch and patch offset regularity, this information is converted into a constraint condition to guide the process of filling the hole. Experimental results show that the proposed algorithm is fast and effective, and ensures the structure continuity of the damaged region and smoothness of the texture.

웨이브렛 변환을 이용한 궤도틀림 분석 (Analysis method for the Measured Track Geometry Data using Wavelet Transform)

  • 이인규;김성일;여인호
    • 한국철도학회논문집
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    • 제9권2호
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    • pp.187-192
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    • 2006
  • The regularity of railway track alignment is a crucial component fur maintaining travel safety and the smoothness of passenger ride. The conventional spectral analysis has been considered to estimate the severity of the track irregularity from measured data. The time domain data used to be changed into the frequency domain by Fourier transform. Because the measuring points can be regarded as the time points, the spatial-frequency can be introduced instead of the time-frequency. Although FFT(Fast Fourier Transform) and/or PSD(Power Spectral Density) function could provide fairly localized information within frequency domain, but chronical configurations of data could be missed. In this study, we attempt to apply the Morlet wavelet transform for the purpose of a frequency-time-domain analysis rather than a frequency-domain analysis. The applicability of wavelet transform is examined for the estimation of the track irregularity with real measured track data on the section of Kyoung-bu line by EM-120 measuring vehicle. It is shown that the wavelet transform can be an effective tool to manage the track irregularity.