• 컴퓨터교육학회논문지
• /
• 제11권4호
• /
• pp.85-93
• /
• 2008

본 논문은 3차원 기하 모델에서 돌출된 특징 영역을 유지하며 단순화하기 위한 방법에 관한 것으로서 3차원 레인지 스캐닝 시스템으로 부터 삼각형 기하 데이터를 입력받아 기하 데이터의 각 점들에 대해 근사화 표면을 생성하고, 생성된 표면에서의 점들에 대한 곡률과 곡률 미분 값을 측정한 후, 기하 데이터의 에지에 대해 제로-클로싱을 측정하여 특정점을 찾아낸다. 특정점을 주 곡률 방향으로 연결하여 특정 선을 생성하고, 거리기반오차에 특정에지오차를 조합한 FQEM(Feature Quadric Error Metric)을 이용하여 단순화를 수행하게 된다. 본 논문에서는 제안방법의 우수성을 기존 방법과의 실험결과의 비교를 통하여 보여 준다.

• 한국정보과학회논문지:시스템및이론
• /
• 제27권6호
• /
• pp.541-548
• /
• 2000

3차원 공간상에서 볼록 영역 광원이 주어진 물체를 비추면 각 객체에 대해 두 가지 유형의 그림자 볼륨, 즉 주어진 객체에 의해 부분적으로 가려지는 그림자볼륨과 완전히 가려지는 그림자 볼륨이 생성된다. 이를 각각 반음영부(penumbra)와 완전음영부(umbra)라 한다. 본 논문에서는 원, 타원, 구, 타원체, 실린더 등과 같은 볼록 이차 광원으로부터 볼록 다각형의 완전음영부를 구하는 문제를 고려한다. 먼저 완전음영부의 경계 표면을 특성화하고, 이를 이용하여 완전음영부를 구하는 알고리즘을 제시한다.

• 대한수학회지
• /
• 제31권3호
• /
• pp.429-437
• /
• 1994

Let $M^n$ be a connected hypersurface in Euclidean (n + 1)-space $E^{n+1}$, and let $G : G^n \longrightarrow S^n(1) \subset E^{n+1}$ be its Gauss map.

• 충청수학회지
• /
• 제22권4호
• /
• pp.689-697
• /
• 2009

We study the existence of surjective morphisms between Fano manifolds of Picard number 1, when the source is given by the intersection of a cubic hypersurface and either a quadric or another cubic hypersurface in a projective space.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2005년도 추계종합학술대회
• /
• pp.391-394
• /
• 2005

In this paper, we present an approach that is able to reconstruct 3 dimensional metric models from un-calibrated images acquired by a freely moved camera system. If nothing is known of the calibration of either camera, nor the arrangement of one camera which respect to the other, then the projective reconstruction will have projective distortion which expressed by an arbitrary projective transformation. The distortion on the reconstruction is removed from projection to metric through self-calibration. The self-calibration requires no information about the camera matrices, or information about the scene geometry. Self-calibration is the process of determining internal camera parameters directly from multiply un-calibrated images. Self-calibration avoids the onerous task of calibrating cameras which needs to use special calibration objects. The root of the method is setting a uniquely fixed conic(absolute quadric) in 3D space. And it can make possible to figure out some way from the images. Once absolute quadric is identified, the metric geometry can be computed. We compared reconstruction image from calibrated images with the result by self-calibration method.

• Steel and Composite Structures
• /
• 제42권1호
• /
• pp.75-90
• /
• 2022

The pointwise equilibrium polynomial (PEP) element considering local second-order effect has been widely used in direct analysis of many practical engineering structures. However, it was derived according to Euler-Bernoulli beam theory and therefore it cannot consider shear deformation, which may lead to inaccurate prediction for deep beams. In this paper, a novel beam-column element based on Timoshenko beam theory is proposed to overcome the drawback of PEP element. A fifth-order polynomial is adopted for the lateral deflection of the proposed element, while a quadric shear strain field based on equilibrium equation is assumed for transverse shear deformation. Further, an additional quadric function is adopted in this new element to account for member initial geometrical imperfection. In conjunction with a reliable and effective three-dimensional (3D) co-rotational technique, the proposed element can consider both member initial imperfection and transverse shear deformation for second-order direct analysis of frame structures. Some benchmark problems are provided to demonstrate the accuracy and high performance of the proposed element. The significant adverse influence on structural behaviors due to shear deformation and initial imperfection is also discussed.

• East Asian mathematical journal
• /
• 제34권1호
• /
• pp.21-28
• /
• 2018

For a nondegenerate irreducible projective variety, it is a classical problem to study the defining equations of a variety with respect to the given embedding. In this paper we precisely determine the defining equations of certain types of rational curves in ${\mathbb{P}}^3$.

• 대한수학회보
• /
• 제39권2호
• /
• pp.327-332
• /
• 2002

In this paper we prove that if M is a J-invariant sub-manifold of codimension 2 in a complex projective space $P_{n+1}(C)$, and the second fundamental tensor is cyclic-parallel or M has harmonic curvature, then M is locally complex quadric Q$_n$(C) or P$_n$(C).

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 2001년도 ICCAS
• /
• pp.157.6-157
• /
• 2001

We estimated various neuron functions to construct of engineering neurons, which are the combination of sigmoid, linear, sine, quadric, double/single bended, soft max/minimum functions. These combinations are estimated by the property on the potential surface between the learning points, calculation speed, and learning convergence; because the surface depends on the inference ability of a neuron system; and speed and convergence are depend on the efficiency on the points of engineering applications. After the evaluating discussions, we can select more appropriate combination than original sigmoid function´s, which is single bended function and linear one. The combination ...

• 호남수학학술지
• /
• 제30권4호
• /
• pp.637-644
• /
• 2008

In this paper, we study some properties about the parallel surfaces of ruled surfaces in a Euclidean 3-space. Furthermore, we classify the parallel surfaces of ruled surfaces in a Euclidean 3-space satisfying a linear type and a quadric type with respect to the Gaussian curvature and the mean curvature.