• Title/Summary/Keyword: $G^1$ Surface

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Composite $G^{1}$ surface construction from 2D cross-sections (2차원 단면 데이터로부터 복합 $G^{1}$ 자유곡면 생성)

  • Park, Hyung-Jun;Na, Sang-Wook;Bae, Chae-Yeol
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.44-47
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    • 2004
  • This paper proposes an approach for composite surface reconstruction from 2D serial cross-sections, where the number of contours varies from section to section. In a triangular surface-based approach taken in most reconstruction methods, a triangular $G^{1}$ surface is constructed by stitching triangular patches over a triangular net generated from the compiled contours. In the proposed approach, the resulting surface is a composite $G^{1}$ surface consisting of three kinds of surfaces: skinned, surface is first represented by a B-spline surface approximating the serial contours of the skinned region and then serial contours of the skinned region and then transformed into a mesh of rectangular Bezier patches. On branched and capped regions, triangular $G^{1}$ surfaces are constructed so that the connections between the triangular surfaces and their neighboring surfaces are $G^{1}$ continuous. Since each skinned region is represented by an approximated rectangular $G^{2}$ surface instead of an interpolated triangular $G^{1}$ surface, the proposed approach can provide more visually pleasing surfaces and realize more efficient data reduction than the triangular surface-based approach. Some experimental results demonstrate its usefulness and quality.

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Effect of Surface Condition on the Bonding Characteristics of 3Y-$ZrO_2$-Metal Bracket System (3Y-$ZrO_2$ 세라믹과 교정용 브라켓계에서 세라믹의 표면 조건에 따른 접착 거동의 변화)

  • O, Seon-Mi;Kim, Jin-Seong;Lee, Chae-Hyun
    • Journal of Technologic Dentistry
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    • v.33 no.1
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    • pp.47-54
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    • 2011
  • Purpose: To investigate shear bonding strength between dental zirconia ceramics with different surface treatment and metal bracket. Methods: Zirconia ceramics(LAVA, 3M ESPE, USA) were divided to 4 groups according to their surface treatment; no surface treatment(G1), sand blasting(G2), silane coating(G3), and sand blasting+silane coating(G4). Specimens were bonded to metal bracket using resin bond($Transbond^{TM}XT$, 3M Unitek, USA). Shear bond strength was measured using universal test machine(3366 INSTRON. U.S.A) with cross head speed of 1 mm/min. Microstructural investigation for fracture surface was performed after shear test. Results: Shear bonding strengths of single surface treatment groups (G2 and G3) were higher than no treatment group(G1). Combined Treatment Group (G4) showed the highest shear bond strength of 9.15MPa. Microstructural observation shows that higher shear bonding strength was obtained when debonding was occurred at metal bracket/resin interface rather than zirconia ceramic/resin interface. Conclusion: Surface treatment of zirconia is necessary to obtain higher bonding strength. Combined treatment can be more effective when surface the surfaces are kept clean and homogeneous.

3D Surface Approximation to Serial 2D Cross Sections (단면정보로부터 3차원 근사곡면의 생성)

  • 박형준;김광수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.719-724
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    • 1994
  • This paper describes a hybrid surface-based method for smooth 3D surface approximation to a sequence of 2D cross sections. The resulting surface is a hybrid G $^{1}$ surface represented by a mesh of triangular and rectangular Bezier patches defined on skinning, branching, or capping regions. Each skinning region is approximated with a closed B_spline surface, which is transformed into a mesh of Bezier patches. Triangular G $^{1}$ surfaces are constructed over brabching and capping regions such that the transitions between each capping regions such that the transitions between each triangular surface and its neighboring skinning surfaces are G $^{1}$ continuous. Since each skinning region is represented by an approximated rectangular C $^{2}$ suface instead of an interpolated trctangular G $^{[-1000]}$ surface, the proposed method can provide more smooth surfaces and realize more efficient data reduction than triangular surfacebased method.

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Effect of Pre-Treatment by Ozone on Chemical Surface Modification of Activated Carbon Fiber (오존에 의한 전처리가 활성탄소섬유 화학적 표면개질에 미치는 영향)

  • Jang, Jung Hee;Han, Gi Bo;Kim, Ho
    • Journal of Korean Society of Environmental Engineers
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    • v.35 no.6
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    • pp.415-421
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    • 2013
  • To increase specific surface property of activated carbon fiber(ACF), chemical activation(CA) using alkali metals and surface treatment(ST) using oxidant was widely used. The CA and ST process developed micro-pore on the surface of ACF by chemical reaction of the alkali metals and oxidative of oxidant, respectively. To improve the efficiency of CA process for developing micro-pores on the surface of ACF, the ST process was adopted as an pre-treatment method. After treatment of ST process, ACF properties was investigated depending on the ST pre-treatment process. FT-IR, TG and elemental analysis of the ACF are carried out, and an adsorption property of ACF was also evaluated using toluene(which in typical volatile organic matter). Once the single CA process is used, the surface area and adsorption capacity of ACF were increased from 1,483 to 1,988 $m^2/g$ and from 0.22 to 0.27 $g_{-Tol.}/g_{-ACF}$, respectively. On the other hands, once the ST and CA processes are used successively, the surface area and adsorption capacity of ACF are greatly increase(where the surface area is 2,743 $m^2/g$ and the adsorption capacity is 0.37 $g_{-Tol.}/g_{-ACF}$). It indicates that the combined process of ST and CA can improve the surface process properties of ACF.

A FINITE PRESENTATION FOR THE TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE

  • Stukow, Michal
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.601-614
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    • 2016
  • Let $N_{g,s}$ denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski [12] obtained an explicit finite presentation for the mapping class group $\mathcal{M}(N_{g,s})$ of the surface $N_{g,s}$, where $s{\in}\{0,1\}$ and g + s > 3. Following this work, we obtain a finite presentation for the subgroup $\mathcal{T}(N_{g,s})$ of $\mathcal{M}(N_{g,s})$ generated by Dehn twists.

Effect of Surface Treatment of Porcelain on Tensile Bond Strength (도재의 표면처리가 인장접착강도에 미치는 영향)

  • KIM, Shin-Geun;SUNG, Jae-Hyun
    • The korean journal of orthodontics
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    • v.26 no.3
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    • pp.301-307
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    • 1996
  • The purpose of this study was to evaluate the effect of surface treatment of porcelain on tensile bond strength. To accomplish this purpose, this study was carried out with 120 samples which were divided into 12 groups with each 10 samples, and the first group was not surface treated, groups 2 through 5 underwent single surface treatment, and groups 6 through 12 underwent compound surface treatment. The results were as follows : 1. In statistic, all the single surface-treated groups showed higher tensile bond strength than the non surface-treated group and the sandblasted group showed the highest tensile bond strength as $10.34{\pm}2.50MPa$. 2. All the compound surface-treated groups showed no noticeable difference in the tensile bond strength(9-11.5MPa). 3. In statistic, no significant difference was found between the sandblasted group and the compound surface-treated groups. 4. There was no fracture of porcelain while testing in this study. Above study demonstrated that compound surface treatment or sandblasing, if used single surface treatment, should be employed to guarantee successful clinical application.

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Effect of impurities in bath on surface appearance of electrolytic chromate film (전해크로메이트 피막의 표면외관에 미치는 용액중 불순물의 영향)

  • 김명수;김상헌;김영근
    • Journal of the Korean institute of surface engineering
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    • v.30 no.6
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    • pp.412-418
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    • 1997
  • The surface appearance of zinc coating chromated electrochemically was investigated with the concentration of impurities in chromating solution. The chromium content and yellowness of chromated film decreased with more than 0.1g/1 Zn in chromating solution, while white ness of it increased slightly. The chromium content and whiteness of chromated film also decreased with more than 0.1g/1 Fe in chromating solution, but the yellowness of it increased. Chromium content, whiteness and yellowness of chromated film decreased slightly with more than 0.5g/1 $Cr^{3+}$<\TEX>. But the chromium content and surface appearance of chromated film are not influenced with less than 1.0g/1 Pb in chromating sloution.

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Surface Reactions of Atomic Hydrogen with Ge(100) in Comparison with Si(100)

  • Jo, Sam Keun
    • Applied Science and Convergence Technology
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    • v.26 no.6
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    • pp.174-178
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    • 2017
  • The reactions of thermal hydrogen atoms H(g) with the Ge(100) surface were examined with temperature-programmed desorption (TPD) mass spectrometry. Concomitant $H_2$ and $CH_4$ TPD spectra taken from the H(g)-irradiated Ge(100) surface were distinctly different for low and high H(g) doses/substrate temperatures. Reactions suggested by our data are: (1) adsorbed mono(${\beta}_1$)-/di-hydride(${\beta}_2$)-H(a) formation; (2) H(a)-by-H(g) abstraction; (3) $GeH_3$(a)-by-H(g) abstraction (Ge etching); and (4) hydrogenated amorphous germanium a-Ge:H formation. While all these reactions occur, albeit at higher temperatures, also on Si(100), H(g) absorption by Ge(100) was not detected. This is in contrast to Si(100) which absorbed H(g) readily once the surface roughened on the atomic scale. While this result is rather against expectation from its weaker and longer Ge-Ge bond as well as a larger lattice constant, we attribute the absence of direct H(g) absorption to insufficient atomic-scale surface roughening and to highly efficient subsurface hydrogenation at moderate (>300 K) and low (${\leq}300K$) temperatures, respectively.

NURBS Surface Reconstruction from an Unstructured Point Cloud (비조직화된 점군으로부터 NURBS 곡면 모델의 생성)

  • Li, Ri-Xie;Kim, Seok-Il
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1564-1569
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    • 2007
  • This study concerns an advanced NURBS surface reconstruction method, which is based on the NURBS surface model fitting to the unstructured point cloud measured from an arbitrary complex shape. The concept of generating a simple triangular mesh model was introduced to generate a quadrilateral mesh model well-representing the topological characteristics of point cloud. The NURBS surface reconstruction processes required the use of the various methodologies such as QEM algorithm, merging scheme of pair-wise triangular mesh, creation algorithm of $G^1$ continuous tensor product NURBS surface patch, and so on. The effectiveness and reliability of the proposed NURBS surface reconstruction method were validated through the simulation results for the geometrically and topologically complex shapes.

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Classifications of Tubular Surface with L1-Pointwise 1-Type Gauss Map in Galilean 3-space 𝔾3

  • Kisi, Ilim;Ozturk, Gunay
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.167-177
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    • 2022
  • In this manuscript, we handle a tubular surface whose Gauss map G satisfies the equality L1G = f(G + C) for the Cheng-Yau operator L1 in Galilean 3-space 𝔾3. We give an example of a tubular surface having L1-harmonic Gauss map. Moreover, we obtain a complete classification of tubular surface having L1-pointwise 1-type Gauss map of the first kind in 𝔾3 and we give some visualizations of this type surface.