A 4-geometry maze router and its application on multiterminal nets

Author:

Jan Gene Eu1,Chang Ki-Yin2,Gao Su3,Parberry Ian3

Affiliation:

1. National Taipei University, Sun Shia, Taipei

2. National Taiwan Ocean University, Keelung, Taiwan

3. University of North Texas, Denton, TX

Abstract

The maze routing problem is to find an optimal path between a given pair of cells on a grid plane. Lee's algorithm and its variants, probably the most widely used maze routing method, fails to work in the 4-geometry of the grid plane. Our algorithm solves this problem by using a suitable data structure for uniform wave propagation in the 4-geometry, 8-geometry, etc. The algorithm guarantees finding an optimal path if it exists and has linear time and space complexities. Next, to solve the obstacle-avoiding rectilinear and 4-geometry Steiner tree problems, a heuristic algorithm is presented. The algorithm utilizes a cost accumulation scheme based on the maze router to determine the Torricelli vertices (points) for improving the quality of multiterminal nets. Our experimental results show that the algorithm works well in practice. Furthermore, using the 4-geometry router, path lengths can be significantly reduced up to 12% compared to those in the rectilinear router.

Publisher

Association for Computing Machinery (ACM)

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications

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1. A Survey of Cell Decomposition-based Path Planning;2023 4th International Conference on Artificial Intelligence, Robotics and Control (AIRC);2023-05-09

2. The Fast $k-\text{NN}$ Algorithm Based on a Fixed Grid Method;2022 3rd International Conference on Artificial Intelligence, Robotics and Control (AIRC);2022-05-10

3. An Efficient Rectilinear and Octilinear Steiner Minimal Tree Algorithm for Multidimensional Environments;IEEE Access;2020

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