A Content-Based 3D Model Retrieval Using Discrete Principal Curvature

[[abstract]]摘要 由於電腦軟硬體的快速發展與網際網路的普及，3D 物件模型的應用愈見蓬勃， 隨著對於3D 物件模型需求量的增加，如何有效率的管理並檢索這些模型已成為目 前在3D 物件模型的應用上，亟待解決的課題之一。我們在此一研究中，應用經三 角化後之3D 物件模型，其頂點之離散主曲度做為3D 物件模型的特徵值，並進一步 應用直方圖來進行模型的比對與檢索。研究中也一併驗證了所提出之方法，對於縮 放、旋轉與鏡射等模型之變異因素轉換下，具有絕佳之抗變性；至於對於同類型物 件模型的檢索效能，我們的方法除了對複雜構面的模型具有良好的效果以外，在資 源的運用與檢索所需的時間，也都極有效率，這些皆已在我們的研究中得到驗證。 關鍵字：3D 模型、離散主曲度、直方圖[[abstract]]ABSTRACT Owing to the fast developments of the computer software / hardware and the popularity of the internet, the applications using 3D models are getting more flourishing. With the increase to the requirement for more 3D models, the issue how to efficiently manage and retrieve these 3D models is manifesting its importance and should be further researched. In this thesis, the discrete principal curvatures of the vertices of the triangulated 3D models have been employed as the extracted features of the models. The histograms were also applied to carry out the retrieval of the 3D models. The robustness and invariance of the proposed method to the geometric transformations like scaling, rotating, and mirroring were also verified in this thesis. 3D model experimental results show that the models with complicated surfaces could be effectively retrieved from the database by our approach. Furthermore, the performance of the proposed method is efficient in terms of resources and time consumption. This approach and the foresaid features have been implemented in this thesis. Keywords：3D Models, Discrete Principal Curvature, Histogra