本論文的研究主要是探討如何應用多重解析度的特性來做三維模型的編輯。本研究而所要的編輯對象是三角網格模型 (triangulated meshes)，此模型可以為非規則性的三角網格。我們的編輯方法主要有兩個部份，第一部份是建立我們所選取編輯區域的多重解析度表示法 (由精細到粗糙的階層式網格)，第二部份是計算每兩個階層式網格間的差異性 (也就是多重解析度模型的高頻資訊)。當我們在粗糙的網格上做變更時，系統會由粗糙往精細的方向逐層更改模型，並將每兩層網格間的差異性加回去，這樣就確保最後的結果不會遺失掉太多的高頻資訊。 在我們的系統中，使用者可以方便的選擇要編輯的區域，而且所輸入的模型只要是三角網格模型就可以，不需要任何前置處理。 In this paper, we proposed a multiresolution model editing approach applying on unstructured triangulated meshes. The proposed approach is an extension application of multiresolution modeling. We build a multiresolution representation for a triangulated mesh and then modify the mesh without pre-processing on the given mesh. The proposed approach consists of three components : (i) fine-to-coarse hierarchy, (ii) discrete fairing, and (iii) details encoding. The fine-to-coarse hierarchy is used to build a multiresolution representatation for a selected region on a mesh. The difference between two adjacent hierarchical levels of the multiresolution is obtained and recorded by the discrete fairing and details encoding. We modify a coarser mesh and then construct the modified fineset-resolution mesh based on the recorded information. In our system, a user can select an arbitrary region consisting of triangles for modification with the multiresolution modeling approach. We can preserve the detail information of the global shape during the modification without any special basis functions or complicated methods.
