• Title/Summary/Keyword: $\alpha$-shape

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Estimation of Single Vegetation Volume Using 3D Point Cloud-based Alpha Shape and Voxel (3차원 포인트 클라우드 기반 Alpha Shape와 Voxel을 활용한 단일 식생 부피 산정)

  • Jang, Eun-kyung;Ahn, Myeonghui
    • Ecology and Resilient Infrastructure
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    • v.8 no.4
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    • pp.204-211
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    • 2021
  • In this study, information on vegetation was collected using a point cloud through a 3-D Terrestrial Lidar Scanner, and the physical shape was analyzed by reconfiguring the object based on the refined data. Each filtering step of the raw data was optimized, and the reference volume and the estimated results using the Alpha Shape and Voxel techniques were compared. As a result of the analysis, when the volume was calculated by applying the Alpha Shape, it was overestimated than reference volume regardless of data filtering. In addition, the Voxel method to be the most similar to the reference volume after the 8th filtering, and as the filtering proceeded, it was underestimated. Therefore, when re-implementing an object using a point cloud, internal voids due to the complex shape of the target object must be considered, and it is necessary to pay attention to the filtering process for optimal data analyzed in the filtering process.

$\beta$-Shape and $\beta$-Complex for the Structure Analysis of Molecules

  • Seo, Jeong-Yeon;Kim, Dong-Uk;Cho, Young-Song;Ryu, Joong-Hyun;Kim, Deok-Soo
    • International Journal of CAD/CAM
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    • v.7 no.1
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    • pp.91-101
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    • 2007
  • To understand the structure of molecules, various computational methodologies have been extensively investigated such as the Voronoi diagram of the centers of atoms in molecule and the power diagram for the weighted points where the weights are related to the radii of the atoms. For a more improved efficiency, constructs like an $\alpha$-shape or a weighted $\alpha$-shape have been developed and used frequently in a systematic analysis of the morphology of molecules. However, it has been recently shown that $\alpha$-shapes and weighted $\alpha$-shapes lack the fidelity to Euclidean distance for molecules with polysized spherical atoms. We present the theory as well as algorithms of $\beta$-shape and $\beta$-complex in $\mathbb{R}^3$ which reflects the size difference among atoms in their full Euclidean metric. We show that these new concepts are more natural for most applications and therefore will have a significant impact on applications based on particles, in particular in molecular biology. The theory will be equivalently useful for other application areas such as computer graphics, geometric modeling, chemistry, physics, and material science.

Shape Optimization of Truss Structures with Multiobjective Function by α -Cut Approach (α -절단법에 의한 다목적함수를 갖는 트러스 구조물의 형상최적화)

  • Yang, Chang Yong;Lee, Gyu Won
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.457-465
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    • 1997
  • The Shape optimization makes it possible to reduce the weight of structure and cost then member sizing optimization. A vast amount of imprecise information is existed in constraints of the optimum design. It is very difficult and sometimes confusing to describe and to deal with the several criteria which contain fuzzy degrees of relatives importance. This paper proposed weighting strategies in the multiobjective shape optimization of fuzzy structural system by ${\alpha}$-cut approach. The algorithm in this research is numerically tested for 2-bar truss structure. The result show that. the user can choose the one optimum solution in practices as obtaining the optimum solutions according to the ${\alpha}$-cut approach, weight of volume and displacement.

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ON THE SHAPE OF MAXIMUM CURVE OF eaz2+bz+c

  • KIM, MIHWA;KIM, JEONG-HEON
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.75-82
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    • 2017
  • In this paper, we investigate the proper shape and location of the maximum curve of transcendental entire functions $e^{az^2+bz+c}$. We show that the alpha curve of $e^{az^2+bz+c}$ is a subset of a rectangular hyperbola, and the maximum curve is the connected set originating from the origin as a subset of the alpha curve.

Study on the Effect of Crystal Morphology on Mechanical Property in Cu-Zn-Al Shape Memory Alloy (Cu-Zn-Al 형상기억합금에서 기계적 성질에 미치는 결정형상의 영향에 관한 연구;주조조직과 재결정처리에 따른 기계적 성질과 형상기억능의 변화)

  • Hwang, Sung-Jun;Lee, Jin-Hyung;Hong, Jong-Hwi
    • Journal of Korea Foundry Society
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    • v.9 no.1
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    • pp.58-66
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    • 1989
  • The effect of heat treating temperature and ${\alpha}$ phase In the ${\beta}$ phase matrix were investigated for ${\beta}-CuZnAl$ shape memory alloys by tension test, fatigue test, and shape memory effect test. After heat treatment at $677^{\circ}C$, $750^{\circ}C$, $800^{\circ}C$ and $850^{\circ}C$ for 10 min. respectively, static fracture stress(${\sigma}_f$), fatigue fracture stress(${\tau}_{max}$) at $10^6$ cycle, and elongation(${\epsilon}_f$) was $24.2kg/mm^2$, $17.21kg/mm^2$ and 11.8%, respectively. As heat treating temperature decreased, fracture surfaces of the specimens were changed from the intergranular to the transgranular fracture mode. Especially, the a phase precipitated in the ${\beta}$ phase matrix had an effect on crack propagation and the fracture surface was characterized by dimple-like pattern when crack propagated in transgranular cracking mode. Precipitation of the ${\alpha}$ phase in the ${\beta}$ phase matrix lowered the transformation temperature by $10^{\circ}C$, and about 2.5 vol.% ${\alpha}$ phase did not affect the shape memory effect examined by the bending test.

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A Virtual Makeup Program Using Facial Feature Area Extraction Based on Active Shape Model and Modified Alpha Blending (ASM 기반의 얼굴 특징 영역 추출 및 변형된 알파 블렌딩을 이용한 가상 메이크업 프로그램)

  • Koo, Ja-Myoung;Cho, Tai-Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.8
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    • pp.1827-1835
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    • 2010
  • In this paper, facial feature areas in user picture are created by facial feature points extracted by ASM(Active Shape Model). In a existing virtual make-up application, users manually select a few features that are exactly. Users are uncomfortable with this method. We propose a virtual makeup application using ASM that does not require user input. In order to express a natural makeup, the modified alpha blendings for each cosmetic are used to blend skin color with cosmetic color. The Virtual makeup application was implemented to apply Foundation, Blush, Lip Stick, Lip Liner, Eye Pencil, Eye Liner and Eye Shadow.

Effect of Prostaglandin $F_2\alpha$ Administration on the Luteal Cell of Korean Native Cattle (Prostaglandin $F_2\alpha$의 투여가 한우황체의 조직상에 미치는 영향)

  • 최병상;박민근;정길생
    • Korean Journal of Animal Reproduction
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    • v.4 no.1
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    • pp.13-19
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    • 1980
  • This experiment was carried out to observe early morphological changes of luteal cells in Korean native cattle treated with prostaglandin F2$\alpha$. Twenty five gram of prostaglandin F2$\alpha$ was administrated per cow at 10 days after ovulation and luteal cells were removed 30, 60, 120 and 180 minites after administration. Morphological changes of each luteal cell was observed by electron microscope. the results obtained were summarized as followings: 1. Many electron-dense granules were observed in luteal cells obtained from control cow but those granules were decreased rapidly after 30 minutes of administration and no granules were obresved after 180 minutes of administration. 2. In control, the shape of mitochondria were begining to collapse from the time of 60 minutes after administration. After 180 minutes of administration, mitochondria were swelled extreamly. 3. Lipid droplets in luteal cell were increased in its size and number with the duration of time after administration. 4. Shape of smooth endoplasmic recticulum was vesicular and its dimension and number were increased according to time course after administration.

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Spectral resolution evaluation by MCNP simulation for airborne alpha detection system with a collimator

  • Kim, Min Ji;Sung, Si Hyeong;Kim, Hee Reyoung
    • Nuclear Engineering and Technology
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    • v.53 no.4
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    • pp.1311-1317
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    • 2021
  • In this study, an airborne alpha detection system, which consists of a passivated implanted planar silicon (PIPS) detector and an air filter, was developed. A collimator applied to the alpha detection system showed an enhancement in resolution and a degradation in detection efficiency. The resolution and detection efficiency were compared and analyzed to evaluate the performance of the collimator. Thus, the resolution was found to be more important than the efficiency as a determining factor of the detection system performance, from the viewpoint of radionuclide identification. The performance was evaluated on three properties of the collimator: hole shape, hole length, and the ratio between the hole and frame pitches. From the hole shape performance evaluation, a hexagonal collimator showed the highest resolution. Further, the collimator with a hole pitch of 14 mm was found to have the highest resolution while that with a frame pitch of 4-6 mm (i.e., 1.2-1.4 times longer than the hole pitch) showed the highest resolution.

A Study on the Characteristics of Martensitic Transformation Behaviors in In-X(X=Pb,Sn) Alloys (In-X(X=Pb,Sn) 합금의 마르텐사이트변태거동 특성에 관한 연구)

  • Han, Chang-Suk;Han, Seung-Oh
    • Journal of the Korean Society for Heat Treatment
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    • v.23 no.5
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    • pp.233-238
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    • 2010
  • The phase transformations and the shape memory effect in In-rich Pb alloys and In rich-Sn alloys have been studied by means of X-ray diffractometry supplemented by metallographic observations. The alloys containing 12~15 at.%Pb transform from the ${\alpha}_2$ (fct) phase to the ${\alpha}_1$ (fct) phase by way of an intermediate phase (m phase) on cooling. The results of X-ray diffraction show that the metastable intermediate phase is observed both on cooling and heating, and has a face-centered orthorhombic (fco) structure. It is concluded that the ${\alpha}_1{\rightleftarrows}{\alpha}_2$ transformation is expressed by the ${\alpha}_1{\rightleftarrows}m{\rightleftarrows}{\alpha}_2$ transformation both on usual cooling and heating with the rate more than $8{\times}10^{-3}$ K/s. The $m{\rightleftarrows}{\alpha}_2$ transformation takes place with a mechanism involving macroscopic shear and are of diffusionless (martensitic) type. The temperature hysteresis in the two transformations is 10~13 K between the heating and cooling transformations. The alloys containing 0~11 at.%Sn are -phase solid solutions with a face centered tetragonal structure (c/a > 1) at room temperature, the axial ratio increasing continuously with tin content. The In-(11~15) at.%Sn alloys are mixtures of ${\alpha}$ and ${\beta}$ phases, the ${\beta}$ phase having a f. c. tetragonal structure (c/a < 1). The alloys containing more than 15 at.%Sn are ${\beta}$-phase solid solutions. The In-(12.9~15.0) at.%Sn alloys show a shape memory effect only when quenched to the temperature of liquid nitrogen, although their effect becomes weak and finally disappears after keeping at room temperature for a long time. The ${\beta}{\rightarrow}{\alpha}^{\prime}$ phase transformation is of the diffusionless (martensitic) type, and takes place between 330 K at 12.9 at.%Sn and 150 K at 14.5 at.%Sn. The hysteresis of transformation temperatures on heating and cooling is considerably large (29~40 K), depending on the composition. Both In-Pb and In-Sn alloys showed distinct the shape memory effects.

A reliability measure of three dimensional shapes based on statistical shape analysis (통계적 형상분석을 이용한 3차원 형상의 신뢰도 계수)

  • Shin, Sang Min
    • The Korean Journal of Applied Statistics
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    • v.32 no.1
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    • pp.15-27
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    • 2019
  • The reliability of the data means the overall consistency of the measurement results. Methods for evaluating reliability have been continuously studied because it affects the results of the statistical analysis. Cronbach's ${\alpha}$ coefficient or intraclass correlation coefficient is used for reliability evaluation; however, these measures cannot be applied to data consisting of three-dimensional coordinates to represent an object. In this study, we propose a measure to evaluate the reliability of three dimensional shapes based on statistical shape analysis that is made possible by extracting the shape information from the measured three dimensional coordinates and decomposing the shape variation.