• Title/Summary/Keyword: 기울기 벡터장

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Medical Image Registration by Combining Gradient Vector Flow and Conditional Entropy Measure (기울기 벡터장과 조건부 엔트로피 결합에 의한 의료영상 정합)

  • Lee, Myung-Eun;Kim, Soo-Hyung;Kim, Sun-Worl;Lim, Jun-Sik
    • The KIPS Transactions:PartB
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    • v.17B no.4
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    • pp.303-308
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    • 2010
  • In this paper, we propose a medical image registration technique combining the gradient vector flow and modified conditional entropy. The registration is conducted by the use of a measure based on the entropy of conditional probabilities. To achieve the registration, we first define a modified conditional entropy (MCE) computed from the joint histograms for the area intensities of two given images. In order to combine the spatial information into a traditional registration measure, we use the gradient vector flow field. Then the MCE is computed from the gradient vector flow intensity (GVFI) combining the gradient information and their intensity values of original images. To evaluate the performance of the proposed registration method, we conduct experiments with our method as well as existing method based on the mutual information (MI) criteria. We evaluate the precision of MI- and MCE-based measurements by comparing the registration obtained from MR images and transformed CT images. The experimental results show that the proposed method is faster and more accurate than other optimization methods.

번들의 위상적 구조

  • 정영선;조용승
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.671-686
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    • 1994
  • 다양체 M은 매끈하고(smooth) 콤팩트(compact) n 차원 리만다양체이고, 실가함수 f는 M상에서 미분가능 함수임을 가정한다. Morse 함수는 임계점(critical point)들이 모두 비퇴화(non-degenerate)인 실가함수이다. 만약 함수 f가 Morse 함수이고, 임의의 점 $x \in M$에서 $\gamma_x$는 x를 통과하는 흐름(flow)이면 $$ (*) \frac{d\gamma_x(t)}{dt} + \bigtriangledown_{\gamma x(t)}(f) = 0 $$ 이다. 여기서 $\bigtriangledown(f)$는 함수 f에 의해서 정의되는 기울기 벡터장이고 초기조건 $\gamma_x(0) = x$ 이다.

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Performance Comparison Between New Level Set Method and Previous Methods for Volume Images Segmentation (볼륨영상 분할을 위한 새로운 레벨 셋 방법과 기존 방법의 성능비교)

  • Lee, Myung-Eun;Cho, Wan-Hyun;Kim, Sun-Worl;Chen, Yan-Juan;Kim, Soo-Hyung
    • The KIPS Transactions:PartB
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    • v.18B no.3
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    • pp.131-138
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    • 2011
  • In this paper, we compare our proposed method with previous methods for the volumetric image segmentation using level set. In order to obtain an exact segmentation, the region and boundary information of image object are used in our proposed speed function. The boundary information is defined by the gradient vector flow obtained from the gradient images and the region information is defined by Gaussian distribution information of pixel intensity in a region-of-interest for image segmentation. Also the regular term is used to remove the noise around surface. We show various experimental results of real medical volume images to verify the superiority of proposed method.

Image Segmentation Using Level Set Method with New Speed Function (새로운 속도함수를 갖는 레벨 셋 방법을 이용한 의료영상분할)

  • Kim, Sun-Worl;Cho, Wan-Hyun
    • The Korean Journal of Applied Statistics
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    • v.24 no.2
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    • pp.335-345
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    • 2011
  • In this paper, we propose a new hybrid speed function for image segmentation using level set. A new proposed speed function uses the region and boundary information of image object for the exact result of segmentation. The region information is defined by the probability information of pixel intensity in a ROI(region-of-interest), and the boundary information is defined by the gradient vector flow obtained from the gradient of image. We show the results of experiment for an various artificial image and real medical image to verify the accuracy of segmentation using proposed method.

Particle-Based Extended Marching Cubes with Efficient Quadratic Error Function (효율적인 2차 오차 함수를 이용한 입자 기반 Extended Marching Cubes)

  • Yu-Bin Kwon;Jong-Hyun Kim
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2024.01a
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    • pp.387-390
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    • 2024
  • 본 논문에서는 효율적인 2차 오차 함수를 이용하여 입자 기반에서 EMC(Extended Marching Cubes) 알고리즘을 구현할 수 있는 새로운 알고리즘을 제안한다. Smoothing 커널(Kernels)을 통해 계산한 입자 평균 위치에서 레벨셋(Level-set)을 계산해 스칼라장을 구축한다. 그리고 난 뒤 SPH(Smoothed particle hydrodynamics)기반의 커널을 통해 밀도, 입자 평균 위치를 계산한다. 스칼라장을 이용해 등가 곡면(Isosurface)을 찾고 음함수로 표현된 표면을 구성한다. SPH 커널을 공간에서 미분하면 공간상의 어느 위치에서나 기울기를 계산할 수 있고, 이를 통해 얻어진 법선벡터를 이용하여 일반적인 EMC나 DC(Dual contouring)에서 사용하는 2차 오차 함수를 효율적으로 설계한다. 결과적으로 제안하는 방법은 메쉬와 같이 연결정보다 없는 입자 기반 데이터에서도 EMC 알고리즘을 구현하여 볼륨(Volume) 손실을 줄이고, 복잡한 음함수 표면을 표현할 수 있게 한다.

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PCA-Based Feature Reduction for Depth Estimation (깊이 추정을 위한 PCA기반의 특징 축소)

  • Shin, Sung-Sik;Gwun, Ou-Bong
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.3
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    • pp.29-35
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    • 2010
  • This paper discusses a method that can enhance the exactness of depth estimation of an image by PCA(Principle Component Analysis) based on feature reduction through learning algorithm. In estimation of the depth of an image, hyphen such as energy of pixels and gradient of them are found, those selves and their relationship are used for depth estimation. In such a case, many features are obtained by various filter operations. If all of the obtained features are equally used without considering their contribution for depth estimation, The efficiency of depth estimation goes down. This paper proposes a method that can enhance the exactness of depth estimation of an image and its processing speed is considered as the contribution factor through PCA. The experiment shows that the proposed method(30% of an feature vector) is more exact(average 0.4%, maximum 2.5%) than using all of an image data in depth estimation.

The Roles of Wind Shadow Aspect Ratio upon the Behaviors of Transverse Dunes : A Dynamics Analysis on the Behavior Space (바람그늘의 기울기가 횡사구의 지형발달에서 담당하는 역할 -거동 공간상의 동역학적 분석을 중심으로-)

  • RHEW, Hosahng
    • Journal of the Korean association of regional geographers
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    • v.22 no.4
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    • pp.887-911
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    • 2016
  • The empirical law that transverse dunes migrate inversely with their heights leads logically to the prediction that multiple dune ridges will converse to a single huge dune by merging. This contradicts the existence of the steady state dune fields on the Earth. The recent studies have emphasized dune collisions as a key mechanism to the stability of dunefield. The roles of wind shadow aspect ratio, however, have yet to be fully explored. This research aims to investigate the potential roles of wind shadow aspect ratio in the dynamical behaviors of transverse dune field. The simplified model is established for this, based upon allometric properties of transverse dunes, wind speedup on the stoss slope and sand trapping efficiency. The derived governing equations can be transformed to the zoning criteria and vector field for dune evolution. The dynamics analysis indicates that wind shadow aspect ratios do not produce convergent areas on the behavior space; rather, they just act as one of the factors that affect the trajectories of dune evolution. Though the model cannot represent the stability of dune field, but seem to produce a reasonable exponent for dune spacing-height relations.

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Seepage-Advection-Dispersion Numerical Analysis of Offshore Rubble Mound Revetment Landfill Under Transient Flow (비정상류 조건에서 경사식호안매립장에 대한 침투이류 분산해석)

  • Hwang, Woong-Ki;Kim, Hyang-Eun;Kim, Tae-Hyung
    • Journal of the Korean Geosynthetics Society
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    • v.19 no.4
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    • pp.1-9
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    • 2020
  • This study analyzes contaminant movement under transient flow in a rubble mound revetment offshore waste landfill barrier system that prevents contaminant runoff. The barrier system consists of bottom layer and side barrier. For the bottom layer system, impermeable clay layer is used. For the side barrier system, the HDPE barrier sheet (primary element) plays the main role, and the intermediate protection layer (supplementary element) is responsible for the barrier. Seepage, advection, dispersion numerical analysis was carried out using SEEP / W and CTRAN / W programs. As a result, under abnormal conditions considering the fluctuation in tidal range, the volume and direction of the flow velocity vector of the pore water change with time and the dispersion concentration of the contaminant changes. When comparing the case of 2 m tidal range and 8 m tidal range, the larger the tide value, the higher the concentration of contaminant under abnormal conditions. It was found that the rate of change of the concentration of the contaminant changed depending on the change in the tidal range, and as a result, the outflow of the pollutant was smaller than that in the steady flow state.