• 제목/요약/키워드: Shape operator

검색결과 171건 처리시간 0.023초

Evaluation of accuracy of 3-dimensional printed dental models in reproducing intermaxillary relational measurements: Based on inter-operator differences

  • Choi, Won-joon;Lee, Su-jung;Moon, Cheol-Hyun
    • 대한치과교정학회지
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    • 제52권1호
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    • pp.20-28
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    • 2022
  • Objective: Although, digital models have recently been used in orthodontic clinics, physical models are still needed for a multitude of reasons. The purpose of this study was to assess whether the printed models can replace the plaster models by evaluating their accuracy in reproducing intermaxillary relationships and by appraising the clinicians' ability to measure the printed models. Methods: Twenty sets of patients' plaster models with well-established occlusal relationships were selected. Models were scanned using an intraoral scanner (Trios 3, 3Shape Dental System) by a single operator. Printed models were made with ZMD-1000B light-curing resin using the stereolithography method 3-dimensional printer. Validity, reliability, and reproducibility were evaluated using measurements obtained by three operators. Results: In evaluation of validity, all items showed no significant differences between measurements taken from plaster and printed models. In evaluation for reliability, significant differences were found in the distance between the gingival zeniths of #23-#33 (DZL_3) for the plaster models and at #17-#43 (DZCM_1) for the printed models. In evaluation for reproducibility, the plaster models showed significant differences between operators at midline, and printed models showed significant differences at 7 measurements including #17-#47 (DZR_7). Conclusions: The validity and reliability of intermaxillary relationships as determined by the printed model were clinically acceptable, but the evaluation of reproducibility revealed significant inter-operator differences. To use printed models as substitutes for plaster models, additional studies on their accuracies in measuring intermaxillary relationship are required.

수정 라플라시안 및 고유주파수를 이용한 보 구조물의 결함탐지기법 (Fault Detection Method for Beam Structure Using Modified Laplacian and Natural Frequencies)

  • 이종원
    • 한국산학기술학회논문지
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    • 제19권5호
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    • pp.611-617
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    • 2018
  • 대형구조물의 효과적인 구조 안전성 확보를 위해서는 결함탐지기술을 포함한 건전성 모니터링의 적용이 필요하다. 본 연구에서는 보 구조물에 발생하는 균열위치와 균열크기를 추정하기 위하여 다음과 같은 2단계의 균열추정방법을 제안한다. 우선, 보 구조물의 분포 국부 변형률 계측결과를 이용하여 변형률 모드형상을 구하고, 이에 대한 수정 라플라시안(Laplacian) 연산을 통하여 균열발생 영역을 추정한다. 이후, 가속도 측정을 통하여 구한 고유주파수와 신경망기법을 이용하여, 미리 추정된 균열발생 영역을 대상으로 균열위치와 균열크기를 추정한다. 이때, 신경망을 훈련시키기 위하여, 에너지법에 의해 유도된 균열보의 등가휨강성을 이용하여 균열보의 고유주파수를 해석적으로 구한다. 기법을 검증하기 위하여 알루미늄 캔틸레버 보에 대한 손상실험을 수행하였다. 인위적으로 실험체에 균열을 가한 후 자유진동실험을 수행하여 동적 변형률과 가속도를 계측하고 이를 이용하여 변형률 모드형상과 고유주파수를 구하였다. 변형률 모드형상에 대한 수정 라플라시안 연산을 통하여 균열발생 영역을 추정하고, 고유주파수와 신경망기법을 이용하여, 미리 추정된 균열발생 영역에 대하여 균열위치와 균열크기를 판정하였다. 3가지 손상경우에 대한 균열발생 영역의 추정결과는 실제 영역과 잘 일치하였으며, 균열위치와 균열크기 추정결과의 정확성을 상당히 향상시킬 수 있었다. 제안된 기법은 장대구조물에 대한 구조물 건전성 모니터링에 효과적으로 활용될 수 있을 것으로 판단된다.

유전 알고리즘 기반의 초점 측도 조합을 이용한 3차원 표면 재구성 기법 (3D Surface Reconstruction by Combining Focus Measures through Genetic Algorithm)

  • 무하마드 타릭 마흐무드;최영규
    • 반도체디스플레이기술학회지
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    • 제13권2호
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    • pp.23-28
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    • 2014
  • For the reconstruction of three-dimensional (3D) shape of microscopic objects through shape from focus (SFF) methods, usually a single focus measure operator is employed. However, it is difficult to compute accurate depth map using a single focus measure due to different textures, light conditions and arbitrary object surfaces. Moreover, real images with diverse types of illuminations and contrasts lead to the erroneous depth map estimation through a single focus measure. In order to get better focus measurements and depth map, we have combined focus measure operators by using genetic algorithm. The resultant focus measure is obtained by weighted sum of the output of various focus measure operators. Optimal weights are obtained using genetic algorithm. Finally, depth map is obtained from the refined focus volume. The performance of the developed method is then evaluated by using both the synthetic and real world image sequences. The experimental results show that the proposed method is more effective in computing accurate depth maps as compared to the existing SFF methods.

3차원 형상 복원을 위한 수학적 모폴로지 기반의 초점 측도 기법 (A New Focus Measure Method Based on Mathematical Morphology for 3D Shape Recovery)

  • ;최영규
    • 정보처리학회논문지:소프트웨어 및 데이터공학
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    • 제6권1호
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    • pp.23-28
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    • 2017
  • Shape from focus (SFF) 기법은 카메라 렌즈를 다양한 초점 거리로 놓고 촬영한 영상을 이용해 물체의 3차원 정보를 추출하는 방법이다. 이 논문에서는 미소 객체(microscopic object)의 3차원 깊이 정보를 추출하기 위해 수학적 모폴로지의 기울기 연산자를 이용하는 새로운 SFF방법을 제안한다. 전통적으로 SFF 기법에서는 초점의 품질을 측정하기 위해 하나의 초점 측도(focus measure)를 사용한다. 그러나 미소 객체의 복잡한 형태와 텍스쳐 특성에 따라 하나의 초점 측도만을 사용하는 것은 충분하지가 않은데, 본 논문에서는 향상된 초점 측도를 위해 다수의 형태소(multi-structuring elements)를 사용하는 모폴로지 연산자를 사용하는 방법을 제안한다. 최종적으로 모든 초점 측도 결과를 통합하여 최적의 깊이 맵을 계산하게 된다. 실험을 통해 제안된 알고리즘이 기존의 방법들에 비해 3차원 형상 복원 측면에서 더 정밀한 깊이 맵을 제공하는 것을 알 수 있었다.

Real Hypersurfaces in Complex Hyperbolic Space with Commuting Ricci Tensor

  • Ki, U-Hang;Suh, Young-Jin
    • Kyungpook Mathematical Journal
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    • 제48권3호
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    • pp.433-442
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    • 2008
  • In this paper we consider a real hypersurface M in complex hyperbolic space $H_n\mathbb{C}$ satisfying $S{\phi}A\;=\;{\phi}AS$, where $\phi$, A and S denote the structure tensor, the shape operator and the Ricci tensor of M respectively. Moreover, we give a characterization of real hypersurfaces of type A in $H_n\mathbb{C}$ by such a commuting Ricci tensor.

STUDY ON BCN AND BAN RULED SURFACES IN 𝔼3

  • Abd-Ellah, Hamdy N.;Omran, Abdelrahim Khalifa
    • Korean Journal of Mathematics
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    • 제25권4호
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    • pp.513-535
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    • 2017
  • As a continuation to the study in [8, 12, 15, 17], we construct bi-conservative central normal (BCN) and bi-conservative asymptomatic normal (BAN) ruled surfaces in Euclidean 3-space ${\mathbb{E}}^3$. For such surfaces, local study is given and some examples are constructed using computer aided geometric design (CAGD).

SOME CURVATURE CONDITIONS OF n-DIMENSIONAL QR-SUBMANIFOLDS OF (p-1) QR-DIMENSION IN A QUATERNIONIC PROJECTIVE SPACE QP(n+p)/4

  • Pak, Jin-Suk;Sohn, Won-Ho
    • 대한수학회보
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    • 제40권4호
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    • pp.613-631
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    • 2003
  • The purpose of this paper is to study n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space $QP^{(n+p)/4}$ and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).

On generic submanifolds of a complex projective space

  • Seong Baek Lee;Seung Gook Han;Nam Gil Kim;Seong Soo Ahn
    • 대한수학회논문집
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    • 제11권3호
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    • pp.743-756
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    • 1996
  • The purpose of this paper is to compute the covariant derivative of a shape operator of a generic submanifold of a complex space form without using the Green-Stoke's theorem. In particular, we classify complete generic submanifolds of a complex number space $C^m$ with parallel mean curvature vector satisfying a certain condition.

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입력 시간지연 시스템의 루우프 전달복구 설계 기법 (Loop transfer recovery design for input-delayed systems)

  • 박상현;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1201-1204
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    • 1996
  • The previous results on LTR methods for time delay systems need the solution of the operator-type Riccati equation. In addition, it can be difficult to make the target loop shape representing the design specification. This paper proposes a new LTR method for input-delayed systems using well-established LTR method for non-delay systems. For doing this, a time delay margin is derived and the time delay of the input-delayed systems is assumed less than equal to the time delay margin. A simple example is presented for illustrations.

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