隨著特徵尺寸的不斷縮小，設計複雜度繼續增加，可生產性的設計意識變得越來越重要。以規則為主的佈局圖案搜尋被認為是驗證佈局的一個實用方法，但與傳統方法不同，本論文著重於三種間距規則，並提出了一個有效佈局圖案搜尋演算法。給定一個佈局和一組規則，我們的演算法首先採用掃描線法掃描佈局兩次以檢查每個給定的規則，這會使我們收集到所有滿足規則的多邊形配對。藉由將所有給定佈局中的多邊形拆解為線段，我們的演算法可以快速的執行比較，並獲得正確的答案而不會錯過每個給定的規則。然後使用遞迴的方法來找出所有滿足給定規則的圖案。實驗結果表明，我們的方法不僅可以找到與商業軟體相同的答案，而且運行速度明顯地更快。

As the feature size continues to shrink and the design complexity continues to increase, manufacturability-aware layout design is becoming more and more important. Rule-based pattern matching is considered as a practical approach for verifying a layout, but unlike traditional ones, this thesis focus on three kinds of spacing rules and presents an efficient pattern matching algorithm. Given a layout and a set of rules, our algorithm first adopts a line sweep method to scan the layout twice such that for each given rule, it collects all pairs of polygons satisfying that rule. By disassembling all the polygons in the given layout into segments, our algorithm can rapidly perform sufficient comparisons and get an accurate solution without any miss for each given rule. It then uses a recursive method to find all layout patterns each of which meets the given set of all rules. Experimental results show that our algorithm can not only find the same solution as a commercial tool, but also run significantly faster.

1 Introduction 1
2 Problem Formulation 7
3 Our Approach 10
3.1 Data Structure Construction 13
3.2 Line Sweep Rule Check 13
3.3 Pattern Search 18
4 Experimental Results 22
5 Conclusion 29

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