• Title/Summary/Keyword: smooth curve

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Reduction of Blocking Effect using a Rational Open Uniform B-Spline Curve (유리 개방형 균일 B 스플라인 곡선을 이용한 블록 효과 감소)

  • 김희정;김지홍
    • Journal of Korea Multimedia Society
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    • v.5 no.4
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    • pp.386-392
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    • 2002
  • In this paper, we propose a novel blocking effect reduction method based on a rational B-spline. The blocking effect results from independent coding of each image block and becomes highly visible especially coded at very low bit rates. The proposed approach adopts a rational open uniform B-spline curve that used to produce a smooth curve through a set of control points. The pixels on the block boundary are treated as control points, and the weight values, which decide the shape of curve, are determined differentially by considering the distance the position of the pixels and that of the block boundary. The simulation results show that the proposed method has excellent performance for all pattern of the blocking effect with less computational complexity.

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Definition of Ship Hull using $GC^1$ Surface ([$GC^1$] 곡면을 이용한 선형의 표현)

  • J.S. Park;D.J. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.32-40
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    • 1994
  • This paper describes a smooth surface interpolating method of ship hull using a three-dimensional currie net that comes from the mesh curve fairing process. Geometric continuity(($GC^1$) is preserved across the boundary curve between patches. The three-dimensional curve net can have nonrectangular topologies, such as triangular and pentagonal topology. Among the boundary curve interpolation methods, Hermite blended Coons patch, Convex combination, and Gregory patch interpolation method are used to generate the ship hull surface. To check the fairness of the surface, the numerical method of surface/surface intersection problem is adopted. An application to an actual ship hull is given as an example.

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A Study on the Rotation Center of the Different Shape of Root (치근형태에 따른 회전점에 관한 연구)

  • Lee, Ho-Yong;Um, Young-Bae;Lee, Kae-Song;Choi, Kwang-Chul
    • The Journal of the Korean dental association
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    • v.11 no.11
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    • pp.735-737
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    • 1973
  • This study is to determine the exact position of tipping rotation center of root. The method of measurement is to record by means of dial gauge. The different shapes of root of lower second premolar are named as smooth type, tapered type, and curved type. The followings are the result ; 1. The tipping rotation center of the teeth varies with he shape of roots. 2. The rotation center of the root is placed apical one third portion upon roots in the smooth shape of roots, one half portion of roots in the taper shape of roots and below the apical one-third of root in curve shape.

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DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP

  • Lee, Donggyu;Lee, Dongjin;Choi, Hyunje;Jo, Sungbae
    • East Asian mathematical journal
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    • v.30 no.5
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    • pp.583-597
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    • 2014
  • In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. Using this map, we study dynamical properties occurred in the invariant set, specially related to the boundary of KAM-tori, and the existence and stabilities of periodic orbits. The result shows that elliptic regions having periodic orbits and chaotic region can be divided by smooth curve, which is an unexpected result occurred in area preserving smooth dynamical systems.

EXPERIMENTAL STUDIES ON THE SURFACE ROUGHNESS OF GLASS IONOMER CEMENT RESTORATIONS (Glass Ionomer Cement 수복물(修復物)의 표면거칠기에 관한 실험적 연구)

  • Kim, Kwang-Soon;Lee, Seung-Jong;Lee, Chung-Suck
    • Restorative Dentistry and Endodontics
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    • v.17 no.1
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    • pp.166-180
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    • 1992
  • One disadvantage of Glass Ionomer Cement Restoration is the difficulty in polishing. To find the appropriate polishing method, we polished the surface of Glass Ionomer Cement Restorations by 11 combination methods serially using disks shared with large-small particles and evaluated the polishing process in terms of surface roughness, surface roughness curve, and SEM findings. In addition, a visible light curing type bonding material was applied to evaluate the possible improvement in surface properties. The following results were obtained. 1. The disk surface of Glass Ionomer Cement was polished serially by disks with superfine particles, but it didn't become smooth. 2. The surface of Microfilled Composite resin became smoother as using a disk with finer particles. 3. When a visible light curing type bonding material was applied in finishing process, the surface of Glass Ionomer Cement became smooth as much as the applied matrix.

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A SURFACE RECONSTRUCTION METHOD FOR SCATTERED POINTS ON PARALLEL CROSS SECTIONS

  • Kim, Phil-Su
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.2
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    • pp.29-43
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    • 2005
  • We consider a surface reconstruction problem from geometrical points (i.e., points given without any order) distributed on a series of smooth parallel cross sections in ${\mathbb{R}}^3$. To solve the problem, we utilize the natural points ordering method in ${\mathbb{R}}^2$, described in [18], which is a method of reconstructing a curve from a set of sample points and is based on the concept of diffusion motions of a small object from one point to the other point. With only the information of the positions of these geometrical points, we construct an acceptable surface consisting of triangular facets using a heuristic algorithm to link a pair of parallel cross-sections constructed via the natural points ordering method. We show numerical simulations for the proposed algorithm with some sets of sample points.

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MARTENS' DIMENSION THEOREM FOR CURVES OF EVEN GONALITY

  • Kato, Takao
    • Journal of the Korean Mathematical Society
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    • v.39 no.5
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    • pp.665-680
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    • 2002
  • For a smooth projective irreducible algebraic curve C of odd gonality, the maximal possible dimension of the variety of special linear systems ${W^r}_d$(C) is d-3r by a result of M. Coppens et at. [4]. This bound also holds if C does not admit an involution. Furthermore it is known that if dim ${W^r}_d(C)qeq$ d-3r-1 for a curve C of odd gonality, then C is of very special type of curves by a recent progress made by G. Martens [11] and Kato-Keem [9]. The purpose of this paper is to pursue similar results for curves of even gonality which does not admit an involution.

A NOTE ON INVARIANT PSEUDOHOLOMORPHIC CURVES

  • Cho, Yong-Seung;Joe, Do-Sang
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.347-355
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    • 2001
  • Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

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A Study on Fatigue Strength Characteristics of Weld Joint using Metal Type Flux Cored Wire (금속계 플럭스들이 용접이음부의 피로강도 특성에 관한 연구)

  • 강성원;신동진;김환식
    • Journal of Welding and Joining
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    • v.12 no.4
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    • pp.151-161
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    • 1994
  • FCAW has wide application in ship fabrication, maintenance and field erection. It has many advantages over SMAW.SAW and GMAW process. In many applications, the FCAW provides highquality weld metal. This method can reduce weld defects especially porosity and spatter. But the fatigue characteristics of those deposited metal have been rarely investigated. The purpose of this study is to investigate the cyclic stress-strain behavior and fatigue tests by the constant strain control were carried out on the rounded smooth specimen with deposited metal using the metal type flux cored wire. As the results of this study for the deposited metal welded by the metal type flux cored wire, the hardening or softening characteristics under cyclic load were investigated and cyclic stress-strain curve, strain-fatigue life curve, stress-strain function and fatigue life relation which are useful to estimate the fatigue life under the stress concentration condition were obtained.

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Acceleration Optimization of a Dynamic Structure Using a Genetic Algorithm (유전자 알고리즘을 이용한 동적 구조물의 가속도 최적화)

  • 정원지;박창권;홍대선
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.2
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    • pp.25-32
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    • 2004
  • This paper presents a new optimization technique of acceleration curve for dynamic structure's movement in which high speed and low vibration are desirable. This technique is based on a genetic algerian with a penalty function for acceleration optimization under the assumption that an initial profile of acceleration curves constitutes the first generation of the genetic algorithm. Especially the penalty function consists of the violation of constraints and the number of violated constraints. The optimized acceleration of the crane through the genetic algorithm and commercial dynamic analysis software has shown to have accurate movement and low vibration compared to the conventional accelerations with jerk discontinuity.