本文利用了座標轉換法(Coordinate Transformation Method )的改良方法，在已知曲率與體積的情況之下，求得物體的形狀。並且需要改善在球座標系統中造成的問題。本文首先測試軸對稱的橢球體，發現可以求得相當準確的形狀。而利用軸對稱球體的旋轉，將此一形狀視為非軸對稱的形狀加以測試，亦可得到相當準確的形狀。因此，不論是在軸對稱的橢球體，或者是已經經過旋轉的軸對稱橢球體(可視為任意的三為曲面)都可以精準的算出其形狀，相信只要是平滑的曲面，本文中提出的方法都可以將其形狀計算出來。
經過本文的研究，不但對於三維曲面的計算有更近一步的了解，而且不再侷限在軸對稱的條件之下。此方法便可應用在三維氣泡曲面的計算，而若能準確的計算三維氣泡的形狀，便可研究三維時曲面的變化對流場造成的影響，可以突破傳統上只能求得軸對稱的氣泡，相信可以解決此氣泡長久以來在科技上所帶來的困擾。

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