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2차원 원들의 보로노이 다이어그램을 계산하기 위한 위상기반 알고리즘
이목원,차제현,송찬영,김재관,조영송,Kokichi Sugihara,김덕수 대한산업공학회 2014 대한산업공학회 춘계학술대회논문집 Vol.2014 No.5
보로노이 다이어그램은 입자들의 공간특성을 추론하는데 유용하게 쓰인다. 특히, 2차원에서 원들의 보로노이 다이어그램은 그 자체로도 중요하지만 3차원에서 구들의 보로노이 다이어그램으로 확장시키는 것에도 중요한 의의를 가진다. 이 논문에서는 incremental한 방법으로 보로노이 다이어그램을 계산하는 위상기반의 알고리즘을 소개하고자 한다. 이 알고리즘은 강건하고 빠르게 2차원의 원에 대한 보로노이 다이어그램을 계산한다.
Prognostic Factor and Survival Benefit of Adjuvant Chemotherapy in Stage IIA Colon Cancer
이목원,김진수,김지연,이경하 대한대장항문학회 2021 Annals of Coloproctolgy Vol.37 No.1
Purpose: There is no clear evidence of the benefit of adjuvant chemotherapy (AC) in stage IIA colon cancer. Therefore, we aimed to evaluate the prognostic factors and survival benefit of AC in this disease. Methods: A retrospective data collection for patients who underwent radical surgery for colon cancer between January 2008 and December 2015 was undertaken. The cohort was divided into the no-AC and AC groups. Results: We included 227 patients with stage IIA colon cancer in our study cohort, including 67 and 160 patients in the no-AC and AC groups, respectively. The number of retrieved lymph nodes and the presence of tumor complications as obstruction or perforation were independent risk factors for survival. In the no-AC group, there was a significant difference in survival according to the number of retrieved lymph nodes. In the AC group, there were significant differences in survival according to sidedness and preoperative carcinoembryonic antigen (CEA). There was no significant difference in survival between the no-AC and the AC groups. Conclusion: The number of retrieved lymph nodes and the presence of tumor complications were prognostic factors for stage IIA colon cancer but lymphovascular and perineural invasion were not. Sidedness and preoperative CEA could be used as factors to predict the benefit of adjuvant chemotherapy. Currently, it is believed that there is no benefit of AC for stage IIA colon cancer. Further studies are needed to determine the survival benefit of adjuvant chemotherapy in stage IIA colon cancer.
2차원 원들의 보로노이 다이어그램을 계산하기 위한 위상기반 알고리즘
이목원,차제현,송찬영,김재관,조영송,Kokichi Sugihara,김덕수 한국경영과학회 2014 한국경영과학회 학술대회논문집 Vol.2014 No.5
보로노이 다이어그램은 입자들의 공간특성을 추론하는데 유용하게 쓰인다. 특히, 2차원에서 원들의 보로노이 다이어그램은 그 자체로도 중요하지만 3차원에서 구들의 보로노이 다이어그램으로 확장시키는 것에도 중요한 의의를 가진다. 이 논문에서는 incremental한 방법으로 보로노이 다이어그램을 계산하는 위상기반의 알고리즘을 소개하고자 한다. 이 알고리즘은 강건하고 빠르게 2차원의 원에 대한 보로노이 다이어그램을 계산한다.
MGOS : Molecular Geometry Operating System
이목원,차제현,송찬영,조영송,김재관,김덕수 (사)한국CDE학회 2015 한국 CAD/CAM 학회 학술발표회 논문집 Vol.2015 No.동계
An atom arrangement in the three-dimensional space carries a function determined by its structure. So, geometry is one of the most critical factors. There were many studies on the geometry of molecule. However, it is hard to find either a unified theory or an engine program for the geometry of molecules. We have been developing a new computational paradigm called “Molecular Geometry(MG)” to better understand the geometry-priority molecular structure in a single, unified theoretical framework based on the Voronoi diagram of atoms, the quasi-triangulation, and the bata-complex. To materialize MG, we have been developing an engine program called “Molecular Geometry Operating System (MGOS)” with researchers can easily develop their application programs to the MG theory, show the MGOS engine and its architecture, and illustrate how MGOS can be used to facilitate an easy construction of powerful application program or molecular structure analysis. The proposed MGOS can be used for both the assessment of material properties and design of a new material. The MGOS engine can be freely downloaded from the Voronoi Diagram Research Center at Hanyang University.
BULL2D: Geometry Library for Analysis of Circles
이목원,차제현,송찬영,조영송,유중현,Deok-Soo Kim(김덕수) (사)한국CDE학회 2015 한국 CAD/CAM 학회 학술발표회 논문집 Vol.2015 No.하계
Voronoi diagrams are powerful for analysis of geometric properties among particles and their uses are extended to biology, geography, architecture, and art. In this paper, we introduce a geometry library named BULL2D based on Voronoi diagram, quasi-triangulation, and beta-complex. Researchers in various fields can develop their own application program efficiently and conveniently using API-functions in BULL2D.
이목원(Mokwon Lee),차제현(Jehyun Cha),송찬영(Chanyoung Song),김재관(Jae-Kwan Kim),조영송(Youngsong Cho),유중현(Joonghyun Ryu),김덕수(Deok-Soo Kim) (사)한국CDE학회 2014 한국 CAD/CAM 학회 학술발표회 논문집 Vol.2014 No.8
Voronoi diagrams are useful for reasoning spatial properties among particles. In particular, the Voronoi diagram of circles in 2D is important on its own and has many applications. And also it is meaningful for extending to that of spheres in 3D. In this paper, we propose a new algorithm for construction of Voronoi diagram of circles. This algorithm constructs the Voronoi diagram by adding a new circle to the already constructed one and then changing the topology influenced by the new circle. The approach using topology uses logical computations instead of numerical computations. That reduces the number of numerical errors.
Computation of kinetic Voronoi diagram for spheres in 3-dimension
송찬영,이목원,차제현,김덕수 (사)한국CDE학회 2016 한국 CAD/CAM 학회 학술발표회 논문집 Vol.2016 No.동계
A Voronoi diagram for 3D spheres is a tessellation of the 3D space into a set of regions such that each region is closer to the corresponding sphere than any other spheres. If spheres move, the structure of the Voronoi diagram changes according to the sphere movement. This type of Voronoi diagram is called is a kinetic Voronoi diagram for moving spheres. If we can compute such a kinetic Voronoi diagram correctly and efficiently, it can be used to analyze spatial structure in important applications such as molecular dynamics, advanced material design, etc. However, the computation of the kinetic Voronoi diagram for 3D spheres remains a challenge. In this paper, we present a correct and efficient algorithm to compute the kinetic Voronoi diagram for 3D spheres.