• Title/Summary/Keyword: radius of curvature

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3D Printing Watermarking Method Based on Radius Curvature of 3D Triangle

  • Pham, Ngoc-Giao;Song, Ha-Joo;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • Journal of Korea Multimedia Society
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    • v.20 no.12
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    • pp.1951-1959
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    • 2017
  • Due to the fact that 3D printing is applied to many areas of life, 3D printing models are often used illegally without any permission from the original providers. This paper presents a novel watermarking algorithm for the copyright protection and ownership identification for 3D printing based on the radius curvature of 3D triangle. 3D triangles are extracted and classified into groups based on radius curvature by the clustering algorithm, and then the mean radius curvature of each group will be computed for watermark embedding. The watermark data is embedded to the groups of 3D triangle by changing the mean radius curvature of each group. In each group, we select a 3D triangle which has the nearest radius curvature with the changed mean radius curvature. Finally, we change the vertices of the selected facet according to the changed radius curvature has been embedded watermark. In experiments, the distance error between the original 3D printing model and the watermarked 3D printing model is approximate zero, and the Bit Error Rate is also very low. From experimental results, we verify that the proposed algorithm is invisible and robustness with geometric attacks rotation, scaling and translation.

The Correlation Analysis through the Contact Stress and the Curvature Radius according to Flexion Angle for the Design of Unicompartment Knee Replacement (반치환 슬관절의 설계 평가를 위한 굴곡각도에 따른 곡률반경과 접촉응력의 상관도 분석)

  • Lee, YongKyung;Yoo, OuiSik;Kim, JaeWon;Lim, Dohyung;Jung, TaeGon;Kim, JungSung
    • Journal of Biomedical Engineering Research
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    • v.37 no.6
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    • pp.215-221
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    • 2016
  • Conformity between the femoral component and tibial insert within the knee replacement may be measured in frontal or sagittal view, and shows differences in the curvature radius of the femoral component depending on the flexion angle, i.e., curvature radius has a complex effect on contact stress. Therefore, it is essential to confirm how the curvature radius effects contact stress, and provide an important variable to reduce contact stress. This study correlated contact stress with curvature radius measured in frontal and the sagittal views and confirmed the effect of curvature radius for assessment of the Newly Designed Unicompartment Knee Replacement (NDUKR). Finite element models were constructed for NDUKR and $Zimmer^{(R)}$ Unicompartment High Flex Knee Replacement system (ZUKR), incorporating the curvature radius as measured in either frontal or sagittal view. The femoral component had 1200N of compressive load applied approximately 1.65xbody weight. Contact stress was predicted at flexion angles $0^{\circ}C$, $30^{\circ}C$, $60^{\circ}C$, $90^{\circ}C$ and $120^{\circ}C$, for NDUKR: 42, 47.7, 47.7, 51.2, and 54.1 MPa, and ZUKR: 41.2, 49.5, 53.2, 54.3, and 57.4 MPa, respectively. Correlation analysis showed the influence of curvature radius measured from the sagittal view was larger than for frontal view.

An evaluation of canal curvature at the apical one third in type II mesial canals of mandibular molars (하악 대구치의 II형 근심 근관에서 치근단 부위의 만곡도 조사)

  • Yun, Hye-Rim;Lee, Dong-Kyun;Hwang, Ho-Keel
    • Restorative Dentistry and Endodontics
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    • v.37 no.2
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    • pp.104-109
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    • 2012
  • Objectives: The purpose of this study was to evaluate the buccolingual curvature at the apical one third in type II mesial canals of mandibular molars using the radius and angle of curvature. Materials and Methods: Total 100 mandibular molars were selected. Following an endodontic access in the teeth, their distal roots were removed. #15 H- or K-files (Dentsply Maillefer) were inserted into the mesiobuccal and mesiolingual canals of the teeth. Radiographs of the teeth were taken for the proximal view. Among them, type II canals were selected and divided into two subgroups, IIa and IIb. In type IIa, two separate canals merged into one canal before reaching the apex and in type IIb, two separate canals merged into one canal within the apical foramen. The radius and angle of curvature of specimens were examined. Results: In type II, mean radius of curvature in mesiolingual and mesiobuccal canals were 2.82 mm and 3.58 mm, respectively. The radius of the curvature of mesiolingual canals were significantly smaller than that of mesiobuccal canals in type II, and especially in type IIa. However, there were no statistically significant differences in radius of curvature between mesiobuccal and mesiolingual canals in type IIb and there were no significant differences in angle of curvature between type IIa and IIb. Conclusion: In this study, type II mesial canals of mandibular molars showed severe curvature in the proximal view. Especially, mesiolingual canals of type IIa had more abrupt curvature than mesiobuccal canals at the apical one third.

Effect of the Nozzle Curvature on Critical Flows (임계노즐 유동에 미치는 노즐 곡률의 영향)

  • Kim, Jae-Hyung;Kim, Heuy-Dong;Park, Kyung-Am
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.331-336
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    • 2002
  • Recently the critical nozzles with small diameter are being extensively used to measure mass flow in a variety of industrial fields and these have different configurations depending on operation condition and working gas. The curvature radius of the critical nozzle throat is one of the most important configuration factors promising a high reliability of the critical nozzle. In the present study, computations using the axisymmetric, compressible, Navier-Stokes equations are carried out to investigate the effect of the nozzle curvature on critical flows. The diameter of the critical nozzle employed is D=0.3mm and the radius of curvature of the critical nozzle throat is varied in the range from 1D to 3D. It is found that the discharge coefficient is very sensitive to the curvature radius(R) of critical nozzle, leading to the peak discharge coefficient at R = 2.0D and 2.5D, and that the critical pressure ratio increases with the curvature radius.

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Effect of Radius of Curvature of a Corona Needle on Ionic Wind Generation (방전 침전극의 곡률반경이 이온풍 발생에 미치는 영향)

  • Hwang, Deok-Hyun;Moon, Jae-Duk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.3
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    • pp.604-608
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    • 2010
  • An electric fan for cooling high density electronic devices is limited and operated in very low efficiency. The corona discharge is utilized as the driving mechanism for an ionic gas pump, which allows for air flow control and generation with low noise and no moving parts. These ideal characteristics of ionic pump give rise to variety applications. However, all of these applications would benefit from maximizing the flow velocities and yields of the ionic pump. In this study, a needle-mesh type ionic pump has been investigated by focusing on the radius of curvature of corona needle points elevating the ionic wind velocity and efficiency. It is found that the radius of curvature of the corona discharge needle point influences significantly to produce the ionic wind and efficiency. As a result, an elevated ionic wind velocity and increased ionic wind generation yield can be obtained by optimized the radius of curvature of the corona needle electrode.

A Study on Curvature Determination Approach of Disk Cams Using relative Accelerations of Followers (종동절의 상대가속도를 이용한 원반 캠의 곡률반경 결정법에 관한 연구)

  • Shin, Joong-Ho;Kang, Dong-Woo;Kim, Jong-Soo;Kim, Dae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.8
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    • pp.113-119
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    • 2000
  • There are two major factors which affect the cam design : the pressure angle and the radius of curvature, Cam shape will have an instantaneous radius of curvature at every point. Even though the design constraint of the pressure angle has been satisfied the follower may still not complete the desired contact motion. If the radius of the follower roller is larger than the concave(negative) radius on the cam it occurs the gap between the cam and the follower roller at the contact point. And also if the curvature of the pitch curve of the cam is too sharp the cam profile may be undercut. This paper proposes a new approach which uses the relative velocity of the follower roller parallel to the tangent line at the contact point on the cam surface for determining the pressure angle and the relative acceeration for determining the radius of curvature.

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Numerical Analysis of Detonation Wave Propagation Characteristics in Annular Channels (환형 관내의 데토네이션 파 전파 특성 해석)

  • Lee, Su-Han;Cho, Deok-Rae;Choi, Jeong-Yeol
    • Journal of the Korean Society of Propulsion Engineers
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    • v.12 no.2
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    • pp.66-73
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    • 2008
  • Present study examines the detonation wave propagation characteristics in annular channels. Numerical approaches used in the previous studies were extended with marching windows technique. Parametric study has been carried out using a radius of curvature normalized by the channel width considered as unique geometric parameter. In the channels of small radius of curvature, detonation wave is unstable and the regular cell structure is not observed. There is a critical radius of curvature where cell structure can be sustained. The effect of curvature makes the pressure difference on inner and outer surfaces where the detonation wave is overdriven. The results converge to that of straight channel as the radius of curvature gets larger, as expected.

A study on measurement of curvature radius by the using of laser Interferometer (레이저 간섭계를 이용한 곡률반경 측정에 관한 연구)

  • 김수용;이승수;박재덕;송영철;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.920-924
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    • 2003
  • This paper on measurement of curvature radius by the using of laser interferometer and prove. Mean value compared of ball and bearing It is developed program for date creation, and the verification using program. Measurement object center and curvature radius taking of LSC. when it is compared bearing prove with ball prove, the bearing prove can not proper by reason of big uncertainty and If laser setting error decrease, curvature radius get precision radius 10$\^$-5/.

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Study in Radius of Corneal Curvature of university Students with Keratometer (RGP 렌즈 착용한 대학생의 각막곡률반경 측정)

  • Kim, Chang-Sik;Ryu, Kwang-Min
    • Journal of Korean Ophthalmic Optics Society
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    • v.11 no.3
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    • pp.181-185
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    • 2006
  • The measurement of the radius of corneal curvature with keratometer was followed in 184 university students who wearing RGP contact lens and consisted of female(167), male(17) and keratoconus patients(3). Overall mean value in the radius of corneal curvature is 7.77mm, and right and left eyes is appeared the same mean value. Overall mean value in horizontal and vertical is 7.88mm and 7.65mm. Horizontal means is larger than vertical means by 0.22mm of the all female and male students. Male's mean value in the radius of corneal curvature(7.84mm) is larger than female's by 0.08mm, and right and left eyes is also the same mean value. Keratoconus patients' mean value in the radius of corneal curvature(6.86mm) is smaller than others students by 0.91mm.

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Impact Characteristics on the Laminated Shell for CF/Epoxy Composite (CF/Epoxy 복합재 적층쉘의 충격특성)

  • 양현수;정풍기;김영남;이종선
    • Journal of the Korea Safety Management & Science
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    • v.6 no.1
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    • pp.311-323
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    • 2004
  • This paper is to study the energy absorption characteristics of CF/Epoxy(Carbon Fiber/Epoxy Resin) laminated shell with the various curvatures subjected to transverse impact loadings under the low impact velocity in consideration of design of structural members for use of transportation machine, which are consisted of the characteristics of high stiffness, strength and lightweight. The curvature radius are associated with the energy absorption characteristics of CF/Epoxy laminated shell which is brittleness material. In all tests, maximum load of CF/Epoxy laminated plate is higher than that of laminated shell with curvature, but maximum deflection is lower. And then absorbed energy of laminated shell with curvature is higher than laminated plate(curvature radius is unlimited), As curvature radius is increased, the absorbed energy is increased in laminated shell with curvature.