• Journal of the Korean Mathematical Society
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• v.49 no.4
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• pp.733-743
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• 2012

For the "Hopf bundle" $S^1{\rightarrow}S^{2n,1}{\rightarrow}\mathbb{C}H^n$, horizontal lifts of simple closed curves are studied. Let ${\gamma}$ be a piecewise smooth, simple closed curve on a complete totally geodesic surface $S$ in the base space. Then the holonomy displacement along ${\gamma}$ is given by $$V({\gamma})=e^{{\lambda}A({\gamma})i}$$ where $A({\gamma})$ is the area of the region on the surface $S$ surrounded by ${\gamma}$; ${\lambda}=1/2$ or 0 depending on whether $S$ is a complex submanifold or not. We also carry out a similar investigation for the complex Heisenberg group $\mathbb{R}{\rightarrow}\mathcal{H}^{2n+1}{\rightarrow}\mathbb{C}^n$.

• Journal of KIISE:Software and Applications
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• v.32 no.9
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• pp.868-877
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• 2005

Arcs are usually treated as significant features in the field of pattern recognition. This paper presents a method to detect arcs from digital planar curves and estimate their arc centers and radii by using geometric analysis. The deviation of distance between the original curve and the detected arc by the proposed method does not exceed a tolerant error. The experimental results show that the proposed method is available for the detection of arcs iron not only smooth but also heavily noisy curves.

• Journal of the Korean Mathematical Society
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• v.56 no.2
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• pp.387-419
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• 2019

A fullness conjecture of Kuznetsov says that if a smooth projective variety X admits a full exceptional collection of line bundles of length l, then any exceptional collection of line bundles of length l is full. In this paper, we show that this conjecture holds for X as the blow-up of ${\mathbb{P}}^3$ at a point, a line, or a twisted cubic curve, i.e., any exceptional collection of line bundles of length 6 on X is full. Moreover, we obtain an explicit classification of full exceptional collections of line bundles on such X.

• Journal of ILASS-Korea
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• v.24 no.3
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• pp.130-136
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• 2019

Spray visualization of a vaporizer fuel injection system of a micro turbo jet engine was experimentally studied. The fuel heating by combustion was simulated by the high pressure steam generator and combustor inlet air from the centrifugal compressor was simulated by compressed air stored in the high pressure air tank. Spray visualization was performed with single vaporizer, and then six vaporizers which are same number of micro turbojet engine were used. As a results, the spray characteristics of the vaporizer were understood with pressure difference of the combustor inlet air and the fuel supply pressure. Spray angles with three types of vaporizer configuration were measured. In the results, guide vane configuration has a wider spray angle than the straight tube and smooth curve tube with a swirler, so it is expected that the fuel will be effectively distributed inside the combustor flame tube.

• East Asian mathematical journal
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• v.40 no.1
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• pp.75-83
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• 2024

For a reduced, irreducible and nondegenerate curve C ⊂ ℙ^r of degree d, it was shown that the arithmetic genus g of C has an upper bound π₀(d, r) by G. Castelnuovo. And he also classified the curves that attain the extremal value. These curves are arithmetically Cohen-Macaulay and contained in a surface of minimal degree. In this paper, we investigate the arithmetic genus of curves lie on a surface of minimal degree - the Veronese surface, smooth rational normal surface scrolls and singular rational normal surface scrolls. We also provide a construction of curves on singular rational normal surface scroll S(0, 2) ⊂ ℙ³ which attain the maximal arithmetic genus.

• The Korean Journal of Physiology
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• v.24 no.1
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• pp.67-76
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• 1990

The contractile mechanisms of serotonin were investigated in the renal artery of a rabbit. The helical strips of isolated renal artery were immersed in the normal or $Ca^{2+}$-free tris-buffered Tyrode's solution, which was equilibrated with 100% $O_{2}$ at $35^{\circ}C$. The contraction by serotonin or norepinephrine (NE) began at $1{\times}10^{-7}\;M$ and reached the maximal contraction at $1{\times}10^{-5}\;M$. The maximal contraction by serotonin corresponded to $58.1{\pm}4.2%$ of maximal contraction by NE. Cyproheptadine, a serotonin receptor blocker, shifted the concentration-response curve to the right without any reduction in the maximum response but shifted that of NE to the right with reduction in maximum response. And phentolamine, an ${\alpha}-receptor$ blocker, shifted the concentration-response curve of serotonin or NE without any reduction in maximum responses. The $pA_{2}$ values for cyproheptadine against serotonin and NE were $10.35{\pm}0.04$ and $8.45{\pm}0.13$, respectively. The $pA_{2}$ values for phentolamine against serotonin and NE were $6.87{\pm}0.04$ and $8.14{\pm}0.08$, respectively. after the pretreatment with 6-hydroxydopamine, the contraction induced by 100 mM $K^{+}$, tyramine and serotonin reduced to $83.0{\pm}2.0$, $26.8{\pm}6.2$ and $82.0{\pm}3.5%$ of control, respectively. The contraction by serotonin in the $Ca^{2+}$-free Tyrode's solution was increased and sustained with the addition of $Ca^{2+}$ extracellulary. The serotonin-sensitive intracellular $Ca^{2+}$ pool was depleted completely by the pretreatment with NE, but the NE-sensitive intracellular $Ca^{2+}$ pool was depleted partially by the pretreatment with serotonin. From the above results, it is suggested that the contraction induced by serotonin in the renal artery of a rabbit may be due to mechanisms in which serotonin acts directly on specific serotonin receptors and also acts indirectly on ${\alpha}-adrenoceptors$ by displacing NE from neuronal stores.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.41 no.4
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• pp.51-61
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• 2004

In the dental field, the 3D tooth model in which each tooth can be manipulated individually is an essential component for the simulation of orthodontic surgery and treatment. To reconstruct such a tooth model from CT slices, we need to define the accurate boundary of each tooth from CT slices. However, the global threshold method, which is commonly used in most existing 3D reconstruction systems, is not effective for the tooth segmentation in the CT image. In tooth CT slices, some teeth touch with other teeth and some are located inside of alveolar bone whose intensity is similar to that of teeth. In this paper, we propose an image segmentation algorithm based on B-spline curve fitting to produce smooth tooth regions from such CT slices. The proposed algorithm prevents the malfitting problem of the B-spline algorithm by providing accurate initial tooth boundary for the fitting process. This paper proposes an optimal threshold scheme using the intensity and shape information passed by previous slice for the initial boundary generation and an efficient B-spline fitting method based on genetic algorithm. The test result shows that the proposed method detects contour of the individual tooth successfully and can produce a smooth and accurate 3D tooth model for the simulation of orthodontic surgery and treatment.

• Journal of the Korean Society of Clothing and Textiles
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• v.21 no.8
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• pp.1353-1364
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• 1997

The purpose of this study is to present a theoretical framework for analysis and interpretation of medieval look in fashion by investigating its aesthetic values. Accordingly, it would provide a better understanding of the medieval culture with its composite aspects. Modernism sought to make the Middle Ages in its own image.'New Medievalism' has on the whole tried to avoid reading the Middle Ages onto the modern world. Instead it designates a predisposition about the discipline of medieval studies broadly conceived. Consequently, it has changed the viewpoint of medieval culture from the one-sided angle into the diversified one. As recent studies based on New Medievalism have argued, a close look at the medieval culture revealed the dualistic nature of it, with contradictory aspects such as piety and secularity, ideality and formality coexisting. The characteristics of the medieval culture are categorized to asceticism, naturalism, mysticism and secularism. Asceticism, which is responsible for the melancholic and heavy atmosphere of the medieval culture, is related to christianity and despair of life. It is expressed in medieval dress in forms of body-concealing semi-fitted silhouette, coarse texture and dark color. As a reaction to the extreme splendor and exposure of recent fashion, the ascetic medieval look is attracting attention. The monastic look is characterized by body-concealing silhouettes and minimalized usage of colors and details. Naturalism is the feature seeking for purity of the nature and the human itself. It appears in terms of line as a smooth curve flowing along the body contours, or as a revival style of the Greco-Roman drapery in the medieval dress. Naturalism in the medieval look of the late 20th century fashion is expressed as a pure image with the use of sheer and soft fabric to form a smooth curve flowing along the body contours. Mysticism symbolizes the authority of the Christ and the glory of heaven. It is presented in the medieval dress of the body-concealing straight silhouette made of gorgeous fabrics, brilliant colors and decorations by gems and gold. The insecurity caused by the fin-de-siecle mood is creating a strong interest in religion and it is reflected in fashion as a medieval look reviving the solemn and magnificent style of the medieval dress. Secularism is a reflection of the medieval mind of indulging in the beauty of the mundane world. Heraldry and excessive decorations of the medieval dress are forms of this secularism. These styles of gorgeousness are being refined into a new medieval look of the 1990's. The medieval look of the modern fashion is featured in various styles, reflecting the pluralism of the postmodern society.

• Journal of Korean Association for Spatial Structures
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• v.12 no.1
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• pp.109-119
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• 2012

For membrane structure, there are three main steps in design and construction, which are form finding, statistical load analysis, and cutting patterning. Unlike the first two stages, the step of cutting pattern involves the translation of a double-curved surface in 3D space into a 2D plane with minimal error. For economic reasons, the seam lines of generated cutting patterns rely greatly on the geodesic line. Generally, as searching regions of the seam line are plane elements in the step of shape analysis, the seam line is not a smooth curve, but an irregularly divided straight line. So, it is how we make an irregularly divided straight line a smooth curve that defines the quality of the pattern. Accordingly, in this paper, we analyzed interpolation schemes using spline, and apply these methods to cutting pattern generation on the curved surface. To generate the pattern, three types of spline functions were used, i.e., cubic spline function, B-spline, and least-square spline approximation, and simple model and the catenary-shaped membrane was adopted to examine the result of generation. The result of comparing the approximation curves by the number of elements and the number of extracted nodes of simple model revealed that the seam line for less number of extracted nodes with large number of elements were more efficient, and the least-square spline approximation provided smoother seam line than other methods.

• The Journal of the Korean dental association
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• v.56 no.1
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• pp.8-16
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• 2018

Purpose: The aim of in vitro study was to compare the diagnostic accuracy to detect non-cavitated enamel caries on smooth surface by using four kinds of the QLF devices. Materials and Methods: A total of 52 human permanent premolars and molars were used. Fluorescence images were captured by the QLF devices (Inspektor Pro, QLF-D, Qraycam, and Qraypen). Fluorescence loss of the QLF was calculated. The severity of lesions was categorized into the following 3 scores using polarized light microscopy: normal (S), enamel demineralization to outer half of enamel (D1), and inner half of the enamel up to the dentin-enamel junction (D2). The Kruskal-Wallis test was used to compare the fluorescence loss among the QLF devices. Spearman rank correlation coefficient between histological scores and fluorescence loss of the devices was calculated. The sensitivity, specificity, and area under the receiver operating curve (AUROC) were calculated to compare their diagnostic accuracies. Results: The correlation coefficients between histological scores and the fluorescence loss of the devices showed 0.77 to 0.81 (P < 0.001). All histological scores, the fluorescence loss among the devices showed no statistical difference. Among the devices, sensitivity, specificity, and AUC values of the fluorescence loss showed 0.84 to 0.94, 0.76 to 0.90, and 0.90 to 0.92, respectively. Conclusions: All QLF devices had no difference with excellent diagnostic accuracies to detect non-cavitated enamel caries on smooth surface.