1990 Fiscal Year Final Research Report Summary

Development of Geometric Clustering Algorithms and Applications to VLSI Design

Research Project

Project/Area Number	01550295
Research Category	Grant-in-Aid for General Scientific Research (C)
Allocation Type	Single-year Grants
Research Field	計算機工学
Research Institution	Osaka Electro-Communication University
Principal Investigator	ASANO Tetsuo Faculty of Engineering, Osaka Electro-Communication University, Professor., 工学部, 教授 (90113133)
Project Period (FY)	1989 – 1990
Keywords	クラスタリング / 類似度行列 / 計増幾何学 / アルゴリズム / 幾何学的変換法 / 回路分割問題
Research Abstract	Grouping similar objects is called cluster analysis. There have been considered a lot of algorithms. When we formulate this problem as a problem in Graph Theory, it may often become NP-complete. Therefore, we rely on heuristic algorithms. In this research we first presented an algorithm for mapping objects into points in the plane so that similar objects are placed closely, based on Principal Coordinate Analysis. Then, applying Geometric Transform, points are mapped into lines. Using Topological Walk Algorithm developed in the research, we can examine all possible regions defined by those lines. This corresponds to examination of all possible partitions of those points in the dual plane. The idea was applied to Circuit Partitioning in VLSI design.