Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/8983
標題: 以投影技術重建橢圓與其在血管重建之應用
Elliptical Reconstruction by Projection and Its Applications in Vessel Reconstruction
作者: 郭世崇
Kuo, Shye-Chorng
關鍵字: Ellipstical Reconstruction;橢圓重建;Stereoscopic Magnetic Resonance Angiography;Vessel Reconstruction;立體磁振造影血管顯像術;血管重建
出版社: 電機工程學系所
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摘要: 
在本論文中,我們提出了利用影像的投影資訊來重建橢圓形物件的新方法,並且應用這些方法在立體磁振造影的血管重建上。論文中的第一個部份(第三章),我們介紹了橢圓重建的新方法,從實驗的結果中,可以看出我們所提出的新方法比最小二平方法的方法來得好。在論文的第二個部份(第四章至第八章),我們提出兩個橢圓重建的新方法應用在立體磁振造影血管顯像術上,我們假定血管為傾斜某個角度的直圓柱,則傾斜血管切面的幾何形狀為橢圓形,而橢圓形的表示式,可以用參數式或是矩陣式來表示,因此基於此兩種表示式,我們提出兩個演算法來重建橢圓形。在我們的立體血管重建的實驗中,以參數式演算法來做重建,所得的平均誤差為0.066像素,而以矩陣式演算法來做重建,所得的平均誤差為0.014像素。

In this dissertation, we propose new methods to reconstruct elliptical objects from the projections of an image and apply these methods in reconstructing blood vessel from stereoscopic magnetic resonance angiography. In the first part of this dissertation (Chapter 3), we introduce the new elliptical reconstruction method. Through experiments, we show that our new method gives better results as compared to the popular least square fitting method. In the second part of this dissertation (Chapter 4-8), we propose two elliptical reconstruction algorithms for stereoscopic magnetic resonance angiography. The basic assumption we make is that the blood vessels are tilting circular tubes and the shape of the vessel on every cross-section is an ellipse. Since an ellipse can be represented either in parametric form or in algebraic form, we propose two algorithms that reconstruct the ellipses by representing them in these two forms. In our experiments, the average estimation error for the parametric algorithm is 0.066 pixels. The average error for the algebraic algorithm is 0.014 pixels.
URI: http://hdl.handle.net/11455/8983
其他識別: U0005-2801201107421800
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