• Journal of the Korea Society of Computer and Information
• /
• v.13 no.1
• /
• pp.11-20
• /
• 2008

• Journal of Korea Spatial Information System Society
• /
• v.11 no.1
• /
• pp.105-114
• /
• 2009

Recently, location-based services which provides k nearest POIs, e.g., gas stations, restaurants and banks, are essential such applications as telematics, ITS(Intelligent Transport Systems) and kiosk. For this, the Voronoi Diagram k-NN(Nearest Neighbor) search algorithm has been proposed. It retrieves k-NNs by using a file storing pre-computed network distances of POIs in Voronoi diagram. However, this algorithm causes the cost problem when expanding a Voronoi diagram. Therefore, in this paper, we propose an algorithm which generates a matrix of the shortest distance between border points of a Voronoi diagram. The shortest distance is measured each border point to all of the rest border points of a Voronoi Diagram. To retrieve desired k nearest POIs, we also propose a k-NN search algorithm using the matrix of the shortest distance. The proposed algorithms can m inim ize the cost of expanding the Voronoi diagram by accessing the pre-computed matrix of the shortest distances between border points. In addition, we show that the proposed algorithm has better performance in terms of retrieval time, compared with existing works.

• Proceedings of the Korean Information Science Society Conference
• /
• 2005.07b
• /
• pp.604-606
• /
• 2005

컴퓨터 게임에서 움직이는 캐릭터를 위한 자연스러운 경로의 계획은 게임의 현실감을 측정하는 중요한 척도이다. Voronoi 다이어그램은 컴퓨터 기하학 분야에서 잘 알려진 로봇 경로계획 알고리즘 중 하나이다. Voronoi 다이어그램은 두 장애물로부터 같은 거리에 있는 선분과 점들로 구성되어 생성된 경로가 장애물로부터 멀리 떨어진 안전한 길이고 사람이 실제로 택하는 경로와 유사하다는 것이 장점이다. 본 논문에서는 셀-기반 게임 환경에서 움직이는 캐릭터의 이동경로를 찾기 위해 Voronoi 다이어그램을 적용하는 방법을 제안하고 구현한다. 제안된 방식과 기존에 많이 사용되던 그리드 기반 A* 알고리즘의 적용 결과를 비교 분석한다.

• The KIPS Transactions:PartA
• /
• v.19A no.4
• /
• pp.169-174
• /
• 2012

We present an algorithm that computes a 3 dimensional Voronoi diagram for a protein molecule in this paper. The molecule is represented as a set of spheres with van der Waals radii. The Voronoi diagram is constructed in the 3D space by finding the voxels containing it. For the feasibility of the computation, we represent the molecule as a BVH (bounding volume hierarchy), and our system is accelerated by modern graphics hardware with CUDA programming support. Compared to single-core CPU implementations, experimental results show 323 times faster performance in the computation time, when the space is partitioned into $2^{24}$ voxels.

• Spatial Information Research
• /
• v.15 no.3
• /
• pp.203-218
• /
• 2007

The purpose of this article is to set up the scientific and reasonable norm of location and service area determination instead of the pro-administrative lacking availability, so as to propose more practical and reasonable standard of space unit for the location of facilities. This article has accepted the method of Voronoi Diagram as a new scientific and reasonable criteria. The article chooses and realizes a model that can propose a new service area, transform and apply to improve its reality, and assesses which has more reality and compatibility by comparing the models. The result from this procedure can be adapted in objectification of the service area determination and formation of the standard space unit.

• Journal of the Institute of Electronics Engineers of Korea SP
• /
• v.41 no.6
• /
• pp.247-252
• /
• 2004

This paper proposes a matching algorithm using Voronoi diagram for rotation and translation invariant fingerprint identification. The proposed algorithm extracts geometrical structures that are derived from Voronoi diagram of a fingerprint image. Then two features, distances and angles are extracted from the geometrical structures and saved as indexing form for fingerprint matching. This matching algerian has a lower error rate than indexing based methods of old times.

• Korean Journal of Computational Design and Engineering
• /
• v.6 no.1
• /
• pp.24-30
• /
• 2001

An efficient and robust algorithm to compute the exact Voronoi diagram of a circle set is presented. The circles are located in a two dimensional Euclidean space, the radii of the circles are non-negative and not necessarily equal, and the circles are allowed to intersect each other. The idea of the algorithm is to use the topology of the point set Voronoi diagram as a seed so that the correct topology of the circle set Voronoi diagram can be obtained through a number of edge flipping operations. Then, the geometries of the Voronoi edges of the circle set Voronoi diagram are computed. In particular, this paper discusses the topological aspect of the algorithm, and the following paper discusses the geometrical aspect. The main advantages of the proposed algorithm are in its robustness, speed, and the simplicity in its concept as well as implementation. Since the algorithm is based on the result of the point set Voronoi diagram and the flipping operation is the only topological operation, the algorithm is always as stable as the Voronoi diagram construction algorithm of a point set.

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2016.01a
• /
• pp.283-284
• /
• 2016

사물인터넷이란 인간의 일상생활에 사용 중인 가전제품, 의료기기, 기타 센서 부착 기기들이 인터넷에 연결되어 스스로 통신하고 제어하는 환경이다. 본 논문에서는 사물인터넷을 구성하는 각 사물들 간의 효율적인 통신을 위해 센터노드를 설정하고 각 사물들이 센터 노드를 중계기로 활용하여 다른 사물들과 효과적인 통신할 때 보로노이 다이어그램을 적용하는 방법을 제안한다.

• Proceedings of the Korean Information Science Society Conference
• /
• 1999.10a
• /
• pp.3-5
• /
• 1999

최근접 검색(nearest neighbor search)을 위해서 대부분의 기존 기법들은 데이터를 특정한 공간 인덱스 구조를 이용하여 인덱싱하고 이 인덱스를 이용하여 질의를 수행하는 방법을 사용하였다. 본 연구에서는 이러한 데이터 자체를 인덱싱하는 방법과는 달리 미리 최근접 질의의 결과가 되는 Vorononi 다이어그램을 생성해두고, 이를 통하여 최근접 검색을 수행하는 VGrid(Voronoi diagram-Grid) 기법을 제안한다. 이 방법은 미리 모든 데이터에 대한 Voronoi 다이어그램을 계산하고 그 결과를 격자(grid)를 이용하여 인덱싱한 다음 최근접 검색 질의가 주어지면 이 격자 인덱스를 이용하여 빠르게 결과를 찾아낸다. 이 방법을 이용하면 처음 인덱스를 생성할 때는 많은 계산 시간이 소모되지만, 일단 인덱스가 구성되고 나면 최근접 검색 질의 처리 시 디스크 접근 회수가 줄기 때문에 기존의 기법에 비해 빠르게 최근접 검색 질의를 수행할 수 있다.

• Korean Journal of Computational Design and Engineering
• /
• v.6 no.1
• /
• pp.31-39
• /
• 2001

Presented in this paper are algorithms to compute the positions of vertices and equations of edges of the Voronoi diagram of a circle set. The circles are located in a Euclidean plane, the radii of the circles are not necessarily equal and the circles are not necessarily disjoint. The algorithms correctly and efficiently work when the correct topology of the Voronoi diagram was given. Given three circle generators, the position of the Voronoi vertex is computed by treating the plane as a complex plane, the Z-plane, and transforming it into another complex plane, the W-plane, via the Mobius transformation. Then, the problem is formulated as a simple point location problem in regions defined by two lines and two circles in the W-plane. And the center of the inverse-transformed circle in Z-plane from the line in the W-plane becomes the position of the Voronoi vertex. After the correct topology is constructed with the geometry of the vertices, the equations of edge are computed in a rational quadratic Bezier curve farm.