逆向工程(Reverse engineering)主要的目的在於由實體模型重建曲面模型，而曲面接合技術在重建曲面模型的過程中佔有舉足輕重的地位，在複雜度高且表面不規則的自由曲面(Free-form surface)接合處理上較難以傳統方式來完成，因此藉由數學模型將傳統模型數值化(Digitization)的方法來處理會比較準確且有效率，並且以CAD系統處理曲面的編修、設計及分析比傳統方式容易且有效率。 本文以建構兩曲面之等半徑融合曲面為主軸，研究建構融合曲面過程所需技術及理論以及融合曲面與原始曲面之剪切關係，並且以剪切曲面形式處理經過剪裁曲面，透過融合曲面與原始曲面接合處位置及斜率之連續性分析融合曲面之品質。其中包含曲面偏移、曲面交線等演算方法，並討論各演算法使用時機及處理的適用性。 The main purpose of Reverse engineering is reconstructing surface model from the real object. However, in the process of reconstructing surface model, surface connecting technique plays a decisive role, and it is hard to merge Free-from surface in traditional way, especially in complexity and irregular one. For the reason, made the traditional model Digitization by using Mathematics model is more exact and efficient, and comparing to traditional way, using CAD system to edit, design and analyze surface is easier and expeditious. This research focuses on constructing constant radius blending surface of two surfaces. It investigates the need of technique and theory in the process of constructing blending surface and the relation of trimming between blending surface and original surfaces. Trimmed surface represents the surface which has been trimmed, and then analyzing the quality of blending surface from the connecting position of blending surface and original surface and the continuity of slope. Such algorithms, including surface offset and intersection curve of surfaces and it also algorithms the timing and appropriateness of using each calculation.
