# 臺灣博碩士論文加值系統

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 摘要 物體3-D表面數據的重建對醫學影像應用非常重要。這些3-D表面的數據可以用來協助視覺、外科手術、放射治療計畫以及診斷。對於兩張來自不同醫療設備影像的對位融合，如將核磁共振造影(MRI)及正子放射斷層造影 (PET) 融合，需將影像資料從新數位化。而影像內插技術即為解決上述問題的好方法。以灰階及形狀為基礎的影像內插法已被廣泛討論與應用，且被發現存在一些不足。在本篇論文中，我們提出一個全新的，以多邊形近似圖形的影像內插方法。多邊形近似圖形的目的主要為用最少的多邊形線段而可以掌握圖形的特性。影像的內插或邊界的重建則以此多邊形的頂點或邊為基礎。在第二章中，我們假設物件邊界的內插即相當於內插近似物件的多邊形。如果用以近似物件的多邊形其頂點可被求出，則邊界可由這些頂點以立體線段( Cubic-spline )內插方式得出。再第三張及第四章中，多邊形被用來近似物件的外型，然後進行內插。對於每一個在目標多邊形( target polygon )中的像素( pixel )值係因其對應到多邊形的邊或頂點的相對位置而決定。對於邊界的內插，我們的方法與形狀為基礎的方法比較後被證明較快且較好。除此以外，多邊形方法的影像品質較優良且與傳統的灰階內插法比較時均方差( mean-squared difference )較小。
 AbstractThe reconstruction of a 3-D surface is important in many medical applications. These 3-D surface data can be used to reconstruct the object for visualization, surgery, radiation treatment planning and diagnosis. To register images for different modalities, such as MR and positron emission tomography (PET), these data must be re-digitized. The image interpolation is a useful tool to help solve these problems. Gray-level and shape-based image interpolation methods have been discussed and used extensively. However, these methods bring some drawbacks into existence. In this dissertation, we propose a novel image interpolation method that uses polygon approximation to improving those mentioning methods. Aim for polygon approximation is to capture the essence of the object shape with the fewest possible polygonal segments. Image interpolation or contour construction is then performed based on the polygon vertexes or edges. In Chapter 2, we assume that approximates the object shape. If the polygon vertexes are defined, then the contour can be approximated from these vertexes using a cubic spline interpolation. In Chapters 3 and 4, we use a polygon to approximate the object shape and perform the interpolation. For each pixel inside the target polygon, we determine its relative location in the source slices using the vertices or edges of a polygon as the references, respectively. The target slice gray-level is then interpolated from the corresponding source image pixels. For contour interpolation, our method yields a better contour and is computationally more efficient than shape-based interpolation. In addition, the image quality of this interpolation method is better and the mean squared difference is smaller compared with traditional gray-level image interpolation.
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 1 戴秀琴, (2003). 早產兒白色念珠菌血症案例報告, 藥學雜誌, 74, 11.

 1 非侵入式分子影像造影系統與影像融合自動對位方法的研發 2 三維數位影像相關法之新校正程序 3 利用射束阻擋法修正三維正子造影之非真實事件貢獻 4 獨立成份方法分析磁振造影資料:個別到群組的數據分析 5 時間軸三次內插特性法端點效應之探討 6 電腦斷層金屬假影直接消去法 7 多葉準直儀系統特性研究與臨床應用 8 正子電腦斷層造影中使用射束阻擋裝置進行散射矯正 9 內嵌介面問題的數值方法與應用 10 Splines應用於影像內插法之研究 11 局部互相關系數法在影像點經由幾何轉換後的位置確認研究 12 三次內插特性法於水利計算之評估研究 13 乳房攝影的模式化乳房與等效假體之發展與應用 14 B-spline插值曲線的曲線設計 15 以蒙地卡羅方式建構諾力刀系統及微多葉式準直儀並探討其劑量特性

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