• Title/Summary/Keyword: Distance curve

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Systematic Tests for Light-Curve Fitters and Samples in YONSEI Supernova Catalogue

  • Kim, Young-Lo;Kang, Yijung;Lee, Young-Wook
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.1
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    • pp.53.1-53.1
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    • 2017
  • The YONSEI (YOnsei Nearby Supernova Evolution Investigation) project is to investigate the luminosity evolution of Type Ia supernovae (SNe Ia) by using their early-type host galaxies. As a part of this project, we have constructed our own SN catalogue. SALT2 and MLCS2k2 light-curve fitters implemented in SNANA package are employed to analyze the light-curve data. The catalogue provides a rest-frame peak magnitude in B-band or distance modulus, a light-curve shape parameter, and a color or an extinction value of each SN in the redshift range from 0.01 to 1.4. In this poster, we will present our progress in the detailed systematic tests for this catalogue.

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Wheel curve generation error of aspheric grinding in parallel grinding method (비구면 평행연삭에서의 휠구면형상 창성오차)

  • Hwang Yeon;Kuriyagawa T.;Lee Sun-Kyu
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.344-349
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    • 2005
  • This paper presents a geometrical error analysis of wheel curve generation method for micro aspheric surface machining using parallel grinding method. In aspheric grinding, wheel wear in process is crucial parameter for profile error of the ground surface. To decrease wheel weal parallel grinding method is adopted. Wheel and work piece (Tungsten carbide) contact point changes during machining process. In truing process of the wheel radius is determined by the angle and distance between wheel and truer. Wheel radius error is predominantly affected by vertical deviation between the wheel rotation center and the truer center Simulation for vertical error and wheel radius error shows same tendency that expected by geometrical analysis. Experimental results show that the analysis of curve generation method matches with simulations and wheel radius errors.

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Reconstruction of Canal Surfaces (캐널곡면의 복원)

  • Lee In-Kwon;Kim Ku-Jin
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.8
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    • pp.411-417
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    • 2005
  • We present a method to reconstruct a canal surface from a point cloud (a set of unorganized points). A canal surface is defined as a swept surface of a moving sphere with varying radii. By using the shrinking and moving least-squares methods, we reduce a point cloud to a thin curve-like point set which can be approximated to the spine curve of a canal surface. The distance between a point in the thin point cloud and a corresponding point in the original point set represents the radius of the canal surface.

Comparison of Offset Approximation Methods of Conics with Explicit Error Bounds

  • Bae, Sung Chul;Ahn, Young Joon
    • Journal of Integrative Natural Science
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    • v.9 no.1
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    • pp.10-15
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    • 2016
  • In this paper the approximation methods of offset curve of conic with explicit error bound are considered. The quadratic approximation of conic(QAC) method, the method based on quadratic circle approximation(BQC) and the Pythagorean hodograph cubic(PHC) approximation have the explicit error bound for approximation of offset curve of conic. We present the explicit upper bound of the Hausdorff distance between the offset curve of conic and its PHC approximation. Also we show that the PHC approximation of any symmetric conic is closer to the line passing through both endpoints of the conic than the QAC.

A Study on the Fabrication of Plasma Display Panel and It's Characteristics (플라즈마 디스플레이 판넬의 제작 및 특성 연구)

  • Kim, J.S.;Choi, K.C.;Shin, B.J.;Whang, K.W.
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.157-160
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    • 1990
  • A dot matrix type DC Plasma Display Panel was fabricated and it's characteristics was investigated. Paschen curve and I-V curve of various gas mixture was given. Optimal gas mixing ratio, pressure and operating point was determined. The priming effect was observed and discharge delay time was measured with varing applied voltage, priming current, priming distance, duty ratio.

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ERROR ANALYSIS FOR APPROXIMATION OF HELIX BY BI-CONIC AND BI-QUADRATIC BEZIER CURVES

  • Ahn, Young-Joon;Kim, Philsu
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.861-873
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    • 2005
  • In this paper we approximate a cylindrical helix by bi-conic and bi-quadratic Bezier curves. Each approximation method is $G^1$ end-points interpolation of the helix. We present a sharp upper bound of the Hausdorff distance between the helix and each approximation curve. We also show that the error bound has the approximation order three and monotone increases as the length of the helix increases. As an illustration we give some numerical examples.

MONOTONICITY OF EUCLIDEAN CURVATURE UNDER LOCALLY UNIVALENT FUNCTIONS

  • Song, Tai-Sung
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.303-308
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    • 2001
  • Let K($z,\gamma$) denote the euclidean curvature of the curve $\gamma$ at the point z. Flinn and Osgood proved that if f is a univalent mapping of the open unit disk D={z:|z|<1} into itself with f(0)=0 and |f'(0)|<1, then $K(0,\gamma){\leq}K(0,f\;o\;\gamma)$ for any $C^2$ curve $\gamma$ on D through the origin with $K(0,\gamma){\geq}4$. In this paper we establish a generalization of the Flinn-Osgood Monotonicity Theorem.

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Sight Distance at Crest Vertical Curves Under Consideration of Construction Errors (볼록형 종단곡선에서 시공오차를 고려한 정지시거에 관한 연구)

  • Lee, Myeong-Han;Kim, Dong-Nyong
    • Journal of Korean Society of Transportation
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    • v.23 no.8 s.86
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    • pp.153-162
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    • 2005
  • This study is carried out to evaluate the sight distance change due to construction errors of vertical crest curves. Various design speeds and grades as well as various size of construction errors are incorporated in this study. After showing theoretical methodology numerical results are compared and analysed for the given ranges of parameters. New vertical curve change rate(m/%) is suggested to guarantee minimum sight distance under construction errors. As to the results, the reduction of sight distance are $2.8{\sim}21.3m$ at 120km/h, $2.0{\sim}15.1m$ at 100km/h, $1.4{\sim}10.6m$ at 80km/h, $1.0{\sim}7.5m$ at 60km/h $0.5{\sim}3.9m$ at 40km/h. Vortical curve change rates need to be increased about $6{\sim}25%$ to provide minimum stopping sight distance according to design speed.

GafChromic RTQA Film Dosimetry for Laser Beam with Photodynamic Therapy (GafChromic RTQA Film을 이용한 광역학적 치료용 레이저의 선질 측정)

  • Lee, Byung Koo;Lim, Hyun Soo;Kenar, Necla
    • Journal of Biomedical Engineering Research
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    • v.34 no.2
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    • pp.73-79
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    • 2013
  • Purpose: The purposes of this study were to measure the dose distribution of Photodynamic therapy(PDT) laser with 635 nm wavelength using GafChromic film. Method & Result: We made each output 300 J by changing mW and sec using the laser beam radiation mode such as C.W(Continuous Wave) mode, Pulse mode and Burst Pulse mode and measured the does at 0 mm and 5 mm of distance from optic fiber catheter end to the film, and at 5 mm distance by changing the angle of the end of the optic fiber catheter as $0^{\circ}$ and $0.5^{\circ}$. The radiated film was scanned and OD(Optical Density) was compared. And two-dimensional isodose curves were obtained and the consistency of shapes was compared. It was confirmed that there was consistency between optic density and the dose radiated on the film when we radiated GafChromic film by changing distance and angle of 300 J output in each radiation mode coordinating mW and sec. Conclusion: In this study, we could identify the stability according to changes in laser beam modes, changes in output according to distance, changes in uniformity according to angle, and beam profiles using GafChromic film, and we could also get two-dimensional isodose curve. It was found that small change in the distance and angle that is made when optic fiber catheter was contacted on the treatment area did not make big effects on the output of beam and the uniformity of dose, and it was also found that GafChromic film could be utilized for the purpose of QA of PDT laser beam.

A STUDY FOR OCCLUSAL FEATURES OF FIRST PERMANENT MOLAR AND SECOND PRIMARY MOLAR (제 1대구치와 제 2유구치의 교합면 양상에 관한 연구)

  • Jeon, So-Hee;Kim, Jae-Gon;Yang, Yeon-Mi;Baik, Byeong-Ju
    • Journal of the korean academy of Pediatric Dentistry
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    • v.32 no.1
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    • pp.89-100
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    • 2005
  • The purpose of this study was to analyze the morphometrics of primary second molar and permanent first molar. Samples were consisted of normal occlusion in the primary dentition(50 males and 50 females) and permanent dentition(43 males and 43 females). Their upper and lower plaster casts were used and their measuring points were decided, through 3-dimensional laser scanning(3D Scanner, DS4060, LDI, U.S.A.), fitting standard horizontal plane were made for measuring the intercuspal distance, volume of intercuspal area and section curve. The results were as follows; 1. Average distance from the fit plane to the cusp tips of mandibular primary second molar was smaller than any other tooth. (0.05-0.09 mm in male and 0.04-0.09 mm in female). 2. Intercuspal distances of mandibular primary second molar and permanent first molar were larger in male than in female. Especially, there was statistical significance in primary second molar(p<0.05). 3. Intercuspal distance between distobuccal and distolingual cusp was larger in maxillary primary second molar, except cross intercuspal distances. And distances between distal and distolingual cusp, in mandibular primary second molar, between mesiolingual and mesiobuccal cusp, in maxillary first molar, and between distolingual and mesiolingual cusp, in mandibular first molar were larger than any other intercuspal distance. 4. Volume of intercuspal area of primary second molar and permanent first molar was larger in mandible than in maxilla and that of permanent first molar was 1.40-1.75 times of primary second molar (p<0.05). Also it was larger in male than in female, but there was no statistical significance. 5. In most cases, section curves were wider and deeper in permanent dentition than in primary dentition. Except cross intercuspal distances, in maxilla, section curve between mesiobuccal and mesiolingual cusp was the deepest in both dentition. In mandible, section curve between distobuccal and distal cusp was the deepest in permanent dentition and between distolingual and distal cusp was the deepest in primary dentition.

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