單光子放射顯微鏡之針孔穿隧模擬與系統矩陣建立

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姓名

林煒翔(Lin-Wei-Xiang) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

單光子放射顯微鏡之針孔穿隧模擬與系統矩陣建立

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至系統瀏覽論文 (2028-1-31以後開放)

摘要(中)

本論文模擬單光子放射顯微鏡系統之針孔穿隧效應，並以模擬所得之點響應函數建立影像系統矩陣。單光子放射顯微鏡系統架構包含針孔式準直儀、碘化銫閃爍晶體、電子增益電荷耦合元件、高質量光影像縮倍管(DM tube)等，在模擬針孔穿隧效應前需要先建立針孔表面方程式，用來辨別伽瑪射線射入針孔平面時是否會產生針孔穿隧效應，並透過三點共線模型確認物空間、針孔平面、偵測器平面三者間的關係，最後進行點射源的正向投影，從投影影像中的模糊函數進行高斯參數化和建立成像模型。
此成像模型包括通量模型、寬度模型和主軸角度模型，透過成像模型的建立和三點共線投影模型，即可建立影像系統矩陣。而建立針孔穿隧模型，可用於驗證針孔的取樣性，幫助我們設計出最佳的針孔圖像。最後將不同投影角度之目標投影影像和影像系統矩陣代入序列子集之期望值最大化演算法進行迭代演算，重建出三維物體影像和投影影像，驗證所建立之針孔穿隧模型與影像系統矩陣。

摘要(英)

This study simulates the pinhole tunneling effect of the single-photon emission microscope (SPEM) and establishes the imaging system matrix from the simulated point response functions. The system configuration of SPEM includes a pinhole collimator, a thallium-doped cesium iodide crystal (CsI(Tl)), an electron multiplying charge-coupled device (EMCCD), and an electrostatic de-magnifier tube (DM tube). In simulation of pinhole tunneling effect, we have to first establish the pinhole surface equation to identify whether the pinhole tunneling effect will occur when a gamma ray is incident onto the pinhole plane. We also use the three-point collinear model to establish the relationship between the object space, the pinhole plane, and the detector plane. Then, we perform the forward projections of point sources, apply Gaussian parameterization to the projected blur functions and establish the imaging model.
The imaging model includes the flux model, width model and principal angle model. By using the established imaging model and the three-point collinear model, we can build the imaging system matrix. Finally, we use the ordered subset expectation maximization (OSEM) to reconstruct 3D object images with target forward projection images and the system matrix. The image reconstruction results validate the established pinhole tunneling model and imaging system matrix. We anticipate this modeling procedure along with the sampling completeness analysis can aid in pinhole pattern design.

論文目次

摘要 v
Abstract vi
目錄 vii
圖目錄 ix
表目錄 xvi
第一章緒論 1
1.1 研究背景 1
1.2 研究目的 2
1.3 論文架構 2
第二章研究背景與基本原理 4
2.1 核子醫學影像 4
2.1.1 正子放射斷層掃描系統(PET) 5
2.1.2 單光子放射電腦斷層掃描系統(SPECT) 8
2.1.3 單光子放射顯微鏡系統(SPEM) 11
2.2 準直儀(Collimator) 13
2.3 閃爍晶體偵測器(Scintillation Detector) 15
第三章針孔穿隧效應和影像系統矩陣 20
3.1 針孔穿隧效應 20
3.1.1 正向投影針孔穿隧效應 20
3.1.2 針孔傾斜和位移 23
3.1.3 模擬正向投影模型方法 25
3.2 影像系統矩陣與高斯參數結合幾何參數法 29
3.2.1 格點掃描實驗(Grid-scan Experiment) 31
3.2.2 正向投影高斯函數參數化 33
3.2.3 成像模型(Imaging Model) 35
3.3 影像重建演算法 41
3.3.1 最大可能性之期望值最大化演算法(Maximum-Likelihood Expectation Maximization, MLEM) 42
3.3.2 序列子集之期望值最大化演算法(Ordered-Subset Expectation Maximization, OSEM) 44
第四章實驗和影像重建結果 46
4.1 正向投影模擬結果 46
4.1.1 正向投影模擬實驗結果 46
4.1.2 簡化格點掃描實驗 55
4.2 建立成像模型 57
4.2.1 通量模型 57
4.2.2 寬度模型 63
4.2.3 主軸角度模型 79
4.2.4 影像系統矩陣的建立 89
4.3 影像重建結果 90
4.3.1 三點假體影像重建 90
4.3.2 一點兩桿假體影像重建 102
4.3.3 解析度假體影像重建 114
第五章結論與未來展望 158
5.1 結論 158
5.2 未來展望 159
參考文獻 161

參考文獻

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指導教授

陳怡君(Chen-Yi-Chun)

審核日期

2023-2-2

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