VALIDATING THE GEOMETRIC DESIGN RULES FOR ORTHOGONAL TOPOLOGIES IN INTEGRATED CIRCUITS

Abstract

A series of existing methods for obtaining parametric metrics for orthogonal topologies (sets of orthogonal geometric objects) is analysed. The systematic examination and analysis of rules for designing of orthogonal topologies are critically important in modern electronic design. Precise and efficient component placement on integrated circuits impacts the device performance and reliability. Based on the analysis and comparisons, two effective solution methods are proposed. These methods are founded on the introduction and computation of metrics based on rectangular and square trees, which enhance the design process and facilitate more efficient chip space utilization, a matter of significance in the contemporary electronics industry. Rectangular trees provide an intuitive structure for organizing orthogonal objects, while square trees offer optimal space partitioning into square cells, which can be crucial for specific tasks. The article provides detailed descriptions of these methods and their implementation algorithms. A comparative analysis of both methods is then conducted to identify their advantages and disadvantages in different scenarios. The research shows that the choice between rectangular and square trees depends on specific design requirements and task characteristics. This research project has a wide range of practical applications, from integrated circuit development to mapping, game engine development, and more. This work can be valuable for professionals in the field of electronic design, as well as for those involved in optimizing orthogonal geometric structures.