隨著衛星定位測量的日漸普及，坐標系統轉換需求亦日漸變多，在空間點位量測系統中，常常會遇到需要將卡氏直角坐標轉換為大地坐標的情形。同時，為了能夠應付數量龐大的點位計算，一個有效率且不失精度的演算法尤其重要。目前一般的轉換演算法必須透過線性化，或是透過四階演算方程式，或以迭代方式解算才行。本論文嘗試將各種不同的坐標轉換方法，涵蓋1970年至最近2006年的文獻所提出的經典方法或是其改良作法全部加以分析實作，並且比較各種方法產生之結果。實驗結果顯示，各種方法的精度差距不小，並且某些方法在處理不同的緯度和高程時，其迭代次數也有所不同。
另外，本研究並加入一個將現存方法改良後的演算法，將之套入著名的Bowring演算法中。經過實驗證明，此改良之方法在精度上有顯著的提升，為一個較佳的轉換方法。

With the growing popularity of surveying by GPS, the demand of coordinate transformation increases gradually. The transformation from geocentric to geodetic coordinates, known as coordinate conversion, is often needed for some applications in geodetic work. In order to deal with the coordinate conversion problem of a plenty of points, an efficient and accurate algorithm is necessary. The current available algorithms to solve the conversion problem are either the iterative methods by a linearization procedure, or the closed methods by an algebraic equation of forth degree. In this study, five algorithms proposed from 1970 to 2000 for the coordinate conversion are implemented and compared for numerical efficiency. According to the analysis of our numerical results, we may conclude that accuracy of results and iterative times of different algorithms vary with geodetic heights and latitudes.
In this paper, we also introduce a new parametric angle as an initial value into the famous Bowring formula. A more accurate result can be achieved by this new parametric angle than by the original parametric angle proposed by Bowring.

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