• 대한수학회보
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• 제54권5호
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• pp.1677-1697
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• 2017

The purpose of this paper is to investigate the close relation between Okounkov bodies and Zariski decompositions of pseudoeffective divisors on smooth projective surfaces. Firstly, we completely determine the limiting Okounkov bodies on such surfaces, and give applications to Nakayama constants and Seshadri constants. Secondly, we study how the shapes of Okounkov bodies change as we vary the divisors in the big cone.

• 대한전기학회논문지:시스템및제어부문D
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• 제51권5호
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• pp.212-219
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• 2002

In this paper, the epipolar geometry, genera17y used as a pin-hole camera model, is newly adapted to our proposed method that enables the affine reconstruction of the 3D object from two projected views. The proposed method models the projective projection of inherent X-ray imaging system, obviates the need to attach artifirially constructed material on the body, and requires none of the prior-knowledge regarding to intrinsic and extrinsic parameters of two X-ray imaging systems. The optimum numerical solution is obtained by applying the least mean square estimator to corresponding points on two projected X-ray planes. The performance of this proposed method is Quantitatively analyzed using computer synthesized model of Cochlear implantation electrodes. In simulated experiments, the propnsed method is insensitive to the added random noise, the scaling factor change, the center point change, and rotational angular change between two projection planes, as well as enables the stable 3D reconstruction in least square sense even in worst testing cases.

• 대한수학회지
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• 제57권4호
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• pp.873-892
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• 2020

Thurston, in 1986, discovered that the Schwarzian derivative has mysterious properties similar to the curvature on a manifold. After his work, there are several approaches to develop this notion on Riemannian manifolds. Here, a tensor field is identified in the study of global conformal diffeomorphisms on Finsler manifolds as a natural generalization of the Schwarzian derivative. Then, a natural definition of a Mobius mapping on Finsler manifolds is given and its properties are studied. In particular, it is shown that Mobius mappings are mappings that preserve circles and vice versa. Therefore, if a forward geodesically complete Finsler manifold admits a Mobius mapping, then the indicatrix is conformally diffeomorphic to the Euclidean sphere S^n-1 in ℝⁿ. In addition, if a forward geodesically complete absolutely homogeneous Finsler manifold of scalar flag curvature admits a non-trivial change of Mobius mapping, then it is a Riemannian manifold of constant sectional curvature.

• 한국의류학회지
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• 제39권6호
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• pp.812-825
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• 2015

This study explored various issues related to the quality-of-life for obese Korean men. In-depth interviews were conducted with thirty men over BMI 25 whose age ranged from 20's to 50's. Projective techniques along with semi-structured interviews were used. The results of interviews were analyzed based on grounded theory. "Stress" was the main phenomenon resulting from the causal conditions of obesity and stigma. Stress consisted of social, psychological, physical and environmental factors. Contextual conditions mediating the relationship between causal conditions and main phenomenon were obesity level, pressure, and public appearance. Avoidance, change of personal traits, and insensitivity were the action/reactions to the main phenomenon. Various factors due to obesity disappeared and quality-of-life increased when they succeed in weight reduction; however, factors related to obesity and lowered condition of quality-of-life continued if they experienced a weight gain/loss yo-yo.

• 대한수학회보
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• 제40권2호
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• pp.223-234
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• 2003

This note contains the following results for a ring A : (1) A is simple Artinian if and only if A is a prime right YJ-injective, right and left V-ring with a maximal right annihilator ; (2) if A is a left quasi-duo ring with Jacobson radical J such that $_{A}$A/J is p-injective, then the ring A/J is strongly regular ; (3) A is von Neumann regular with non-zero socle if and only if A is a left p.p.ring containing a finitely generated p-injective maximal left ideal satisfying the following condition : if e is an idempotent in A, then eA is a minimal right ideal if and only if Ae is a minimal left ideal ; (4) If A is left non-singular, left YJ-injective such that each maximal left ideal of A is either injective or a two-sided ideal of A, then A is either left self-injective regular or strongly regular : (5) A is left continuous regular if and only if A is right p-injective such that for every cyclic left A-module M, $_{A}$M/Z(M) is projective. ((5) remains valid if 《continuous》 is replaced by 《self-injective》 and 《cyclic》 is replaced by 《finitely generated》. Finally, we have the following two equivalent properties for A to be von Neumann regula. : (a) A is left non-singular such that every finitely generated left ideal is the left annihilator of an element of A and every principal right ideal of A is the right annihilator of an element of A ; (b) Change 《left non-singular》 into 《right non-singular》in (a).(a).

• 한국정보통신학회논문지
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• 제18권10호
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• pp.2443-2450
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• 2014

깊이 영상을 이용한 동작 인식 시스템에서는 효율적인 알고리즘 적용을 위하여 깊이 영상을 3차원 점군 데이터로 구성되는 실제 공간으로 변환하여 알고리즘을 적용한 후 투영공간으로 변환하여 출력한다. 하지만 변환 과정 중 반올림 오차와 적용되는 알고리즘에 의한 데이터 손실이 발생하게 된다. 본 논문에서는 3차원 점군 데이터에서 깊이 영상으로의 변환 시 반올림 오차와 영상의 크기 변화에 따른 데이터 손실이 발생하지 않는 효율적인 방법과 이를 하드웨어로 구현 하는 방법을 제안 하였다. 최종적으로 제안된 알고리즘은 OpenCV와 Window 프로그램을 사용하여 소프트웨어적으로 알고리즘을 검증하였고, Kinect를 사용하여 실시간으로 성능을 테스트하였다. 또한, Verilog-HDL을 사용하여 하드웨어 시스템을 설계하고, Xilinx Zynq-7000 FPGA 보드에 탑재하여 검증하였다.

• 한국측량학회지
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• 제37권1호
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• pp.19-28
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• 2019

드론영상은 소규모 지역의 공간정보를 신속하게 구축할 수 있는 장점을 가지고 있어 빠른 의사결정이 필요한 분야에 적용되고 있다. 이러한 드론영상을 지상좌표계가 설정되어 있는 정사영상에 자동으로 영상등록할 수 있는 기하보정 기법이 적용된다면 다양한 분석에 활용될 수 있다. 이에 본 연구에서는 선형정보와 특징점 정보를 이용하여 시 공간해상도에 차이가 있더라도 드론을 이용하여 촬영된 단일 영상 및 연속영상을 기하보정할 수 있는 방법론을 제안하였다. 선형정보를 이용하는 방법을 통해서 영상간의 초기 기하보정을 위한 투영변환 매개변수를 결정한 후 영상에서 다수 추출할 수 있는 특징점에 대한 템플릿 정합을 통해서 최종적으로 영상의 기하보정을 수행하였다. 실험을 통하여 지형의 기복이 많이 있지 않은 지역에서는 기하보정의 정확도가 높게 나타났다. 이에 반해 지형의 변화가 많은 지역에서는 정량적인 측면에서 다소 오차가 크게 나타났으나 정성적인 분석에는 연속영상의 기하보정 결과를 충분히 활용가능한 것으로 판단된다.