臺灣博碩士論文加值系統

本論文主要探討不一致點及最佳相位差值與分支切割判定的關係，使得透過分支切割展開的相位所能擁有越小的總相位差絕對值。在對相位包裹圖做展開時由於受到雜訊影響，如果沒有事先將分支切割標定，展開的相位圖可能導致展開不完全。首先，利用四點環繞找出不一致點，以不一致點周圍的相位差值來判定不一致點的配對以及分支切割路徑，藉由分支切割路徑進行相位展開。
本論文採取的分支切割搜尋方法不需要進行全場的相位迭代，並根據Macy的展開法進行展開，在搜尋分支切割及相位展開上大幅縮短了程式運行時間，對一張100×100大小的相位包裹圖進行展開，時間為1.2秒，對尺寸為1000×1000的相位包裹圖進行展開，時間為13秒多，且其與實際相位圖之誤差率約在1%以下。

This thesis focuses on the residues pairing methodologies with high noise level like that of ESPI (i.e., Electronic Speckle Pattern Interferometry) experiment without physical discontinuities. In order for the highly dense poles treatment, suitable local grouping beforehand becomes very critical for this work. With the correct grouping, the total adjacent phase differences of all kinds of matching possibilities within each group are then compared and leaves the least one as the best matching result. Statistical works are done first to generate a pairing patterns database of various distance matching pairs, which makes the following branch cuts establishment work easy and especially time effective (a dozen seconds for a general 1000 x 1000 size map). The proposed pairing algorithm is proved by both simulated and ESPI experimental data.

致謝 i
摘要 ii
Abstract iii
目錄 iv
圖目錄 vi
表目錄 x
第一章 緒論 1
1.1 研究動機與方向 1
1.2 相關文獻回顧 2
1.3 論文大綱 3
第二章 基本原理 5
2.1 電子斑點干涉術 5
2.1.1 基本理論 5
2.1.2 相移技術 8
2.2 相位展開 10
2.2.1 路徑相依型相位展開 11
2.2.2 路徑獨立型相位展開 12
2.3 不一致點定義 13
2.4 分支切割技術 16
第三章 最小相位差路徑配對、分支切割判斷 17
3.1 不一致點與配對路經標定 17
3.2 單點配對 22
3.2.1 唯一路經配對 22
3.2.2 雙重確認配對路經 22
3.2.3 邊界配對、一對多配對路徑解除配對 24
3.3 分群配對 27
3.3.1 分群 27
第四章 相位展開與實驗結果 38
4.1 相位展開 38
4.1.1 相位展開說明與方法 38
4.1.2 相位展開案例 47
4.2 相位與模擬圖不同之原因 54
4.2.1 與其他方法進行比較 58
4.3 實驗與結果 64
4.3.1 實驗架構 64
4.3.2 實驗圖展開結果與討論 65
第五章 結論與未來展望 68
參考文獻 70

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