• 한국정보과학회논문지:소프트웨어및응용
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• 제35권2호
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• pp.118-127
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• 2008

본 논문에서는 하악골 데이타에서 견고한 통계 형상 모델을 생성하기 위한 방법을 제안한다. 본 제안 방법은 다음과 같은 네 단계로 구성된다. 첫째, 3차원 입력 형상에 대해 패치 분할을 수행한다. 둘째, 부동 형상에 대한 대응 형상 생성을 위하여 훈련 집합의 모든 형상들을 패치의 형태와 비슷한 도형인 원에 매개화 과정을 수행한다. 셋째, 기준 형상과 각 부동 형상 간 일대일 매핑을 통해 대응 형상을 생성한다. 이때, 패치 경계 부분에서 대응 정점 생성이 불가능한 문제를 해결한다. 마지막으로 대응 형상들을 기준 형상으로 정렬하고, 주성분 분석 기법을 사용하여 통계 형상 모델을 생성한다. 제안 방법을 적용하여 생성한 3차원 하악골 통계 형상 모델의 정확성을 평가하기 위해 육안 평가와 부동 형상과 대응 형상 간 평균 거리 차이를 이용한 유사성 측정을 수행한다. 또한 형상 변화를 표현하는 모드를 이용하여 통계 형상 모델의 밀집도를 측정한다. 실험 결과 다양한 특성을 갖는 하악골 데이타로 생성된 3차원 통계 형상 모델은 부동 형상과 대응 형상 간 높은 유사성을 가지며 적은 수의 모드로 통계 형상 모델 표현됨을 보여 준다.

• 대한기계학회논문집A
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• 제38권10호
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• pp.1139-1145
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• 2014

인체 골격의 모델생성과 형상변동을 파악하는 것은 생체역학의 응용분야에서 중요한 부분을 차지한다. 본 논문에서는 3 차원 대퇴골 모델의 데이터베이스로부터 대퇴골의 형상변동을 통계적으로 분석하고, 추출된 주요 파라미터를 사용하여 대퇴골의 형상을 직관적으로 모델링 할 수 있는 방법을 제안한다. 이를 위해서 먼저 통계적 기법 중에 하나인 주성분 분석(PCA)을 이용하여 대퇴골의 형상변동을 파악하였다. 주성분 분석을 수행하기 위해서는 3 차원 대퇴골 모델 간에 토폴로지(Topology)의 일치가 필요하다. 따라서 대퇴골의 형상에 해부학적 기준점(Landmark)을 정의하여 템플릿 모델이 대상 대퇴골 모델로 변형되기 위한 방향을 결정한 후 곡면 피팅(Surface fitting)을 수행하였다. 다음으로 주성분 분석을 통해 도출된 주성분과 대퇴골의 형상을 대표할 수 있는 해부학적 파라미터와의 상관관계를 정의하였다. 마지막으로 해부학적 파라미터로 대퇴골 모델의 생성 및 형상변동을 가시화 할 수 있는 프로그램을 개발하였다.

• Geomechanics and Engineering
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• 제21권4호
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• pp.349-356
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• 2020

Rock brittleness, which is closely related to the failure modes, plays a significant role in the design and construction of many rock engineering applications. However, the brittle-ductile failure transition is mostly ignored by the current statistical damage constitutive model, which may misestimate the failure strength and failure behaviours of intact rock. In this study, a new statistical damage model considering rock brittleness is proposed for brittle to ductile behaviour of rocks using brittleness index (BI). Firstly, the statistical constitutive damage model is reviewed and a new statistical damage model considering failure mode transition is developed by introducing rock brittleness parameter-BI. Then the corresponding damage distribution parameters, shape parameter m and scale parameter F₀, are expressed in terms of BI. The shape parameter m has a positive relationship with BI while the scale parameter F₀ depends on both BI and ε_e. Finally, the robustness and correctness of the proposed damage model is validated using a set of experimental data with various confining pressure.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2003년도 신호처리소사이어티 추계학술대회 논문집
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• pp.161-164
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• 2003

This paper proposes a hierarchical approach to active shape model using wavelet transform. The proposed algorithm allows us to use both global shape characteristics and finer details for model deformation. The statistical properties of the wavelet transform of a deformable model are analyzed by principal component analysis and used as priors in the contour's deformation.

• Communications for Statistical Applications and Methods
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• 제29권6호
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• pp.695-708
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• 2022

Recently, several studies have been conducted using state space model. In this study, a dynamic linear model with state space model form is applied to stock data. The monthly returns for 135 Korean stocks are fitted to a dynamic linear model, to obtain an estimate of the time-varying 𝛽-coefficient time-series. The model formula used for the return is a capital asset pricing model formula explained in economics. In particular, the transition equation of the state space model form is appropriately modified to satisfy the assumptions of the error term. k-shape clustering is performed to classify the 135 estimated 𝛽 time-series into several groups. As a result of the clustering, four clusters are obtained, each consisting of approximately 30 stocks. It is found that the distribution is different for each group, so that it is well grouped to have its own characteristics. In addition, a common pattern is observed for each group, which could be interpreted appropriately.

• Journal of International Society for Simulation Surgery
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• 제2권1호
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• pp.7-9
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• 2015

Purpose In the many face-related application such as head pose estimation, 3D face modeling, facial appearance manipulation, the robust and fast facial feature extraction is necessary. We present the facial feature extraction method based on shape regression and feature selection for real-time facial feature extraction. Materials and Methods The facial features are initialized by statistical shape model and then the shape of facial features are deformed iteratively according to the texture pattern which is selected on the feature pool. Results We obtain fast and robust facial feature extraction result with error less than 4% and processing time less than 12 ms. The alignment error is measured by average of ratio of pixel difference to inter-ocular distance. Conclusion The accuracy and processing time of the method is enough to apply facial feature based application and can be used on the face beautification or 3D face modeling.

• 한국시뮬레이션학회논문지
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• 제4권1호
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• pp.113-119
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• 1995

In 3D computer graphics, fractal techniques have been applied to terrain models. Even though fractal models have become popular for recreating a wide variety of the shapes found in nature, a specific 3D terrain model such as Uleung Island could not be formulated by statistical fractals easily owing to the random effects. However, by locating the midpoints on the edges and the surface of a specific terrain such as Uleung Island, a similar shape of the terrain model can be simulated. This paper shows the way of simulating 3D Uleung Island terrain model by the statistical fractals wherein the subdivision algorithm is used.

• Communications for Statistical Applications and Methods
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• 제25권6호
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• pp.673-685
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• 2018

Procrustes analysis is a useful technique useful to measure, compare shape differences and estimate a mean shape for objects; however it is based on a least squares criterion and is affected by some outliers. Therefore, we propose two generalized Procrustes analysis methods based on M-estimation and least median of squares estimation that are resistant to object outliers. In addition, two algorithms are given for practical implementation. A simulation study and some examples are used to examine and compared the performances of the algorithms with the least square method. Moreover since these resistant GPA methods are available for higher dimensions, we need some methods to visualize the objects and mean shape effectively. Also since we have concentrated on resistant fitting methods without considering shape distributions, we wish to shape analysis not be sensitive to particular model.

• Communications for Statistical Applications and Methods
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• 제31권3호
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• pp.309-322
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• 2024

Identifying algae in water is important for managing algal blooms which have great impact on drinking water supply systems. There have been various microscopic approaches developed for algae classification. Many of them are based on the morphological features of algae. However, there have seldom been mathematical frameworks for comparing the shape of algae, represented as a planar continuous curve obtained from an image. In this work, we describe a recent framework for computing shape distance between two different algae based on the elastic metric and a novel functional representation called the square root velocity function (SRVF). We further introduce statistical procedures for multiple shapes of algae including computing the sample mean, the sample covariance, and performing the principal component analysis (PCA). Based on the shape distance, we classify six algal species in watersheds experiencing algal blooms, including three cyanobacteria (Microcystis, Oscillatoria, and Anabaena), two diatoms (Fragilaria and Synedra), and one green algae (Pediastrum). We provide and compare the classification performance of various distance-based and model-based methods. We additionally compare elastic shape distance to non-elastic distance using the nearest neighbor classifiers.

• Journal of Welding and Joining
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• 제5권4호
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• pp.47-53
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• 1987

The purpose of this study is to reexamine our test method in the light ofstatistical methods for data interpretation. Our trial to apply Plackett-Burman statistical model in multifactorial welding experiments shows that is saves much time and cost and extracts very accurate results. In this study, the parametric effects of bead shape on pulse MIG process in Cu-Ni alloy are investigated for verifying our trial.