- 學位論文
電腦輔助工業設計3D模型的三角曲面建構之分析研究
A Study of Constructing Triangular Surface of the Computer Aided Industry Design for 3D Modeling
摘要
摘要 工業設計流程中，電腦化與非電腦化最大的不同點，是 3D 虛擬資料的建立。當設計師完成 2D 發想後，造形概念將進行 3D 立體資料建立。 在建構 3D時，造型中大多數曲面皆可利用四邊建面法完成曲面建構；除四邊建面可完成之曲面外，於製作中建構人員常會遭遇三角曲面的建構問題。而處理三角曲，常會造成如：曲面造形有出入、飽和度不足、曲面不順有起伏波浪、扭曲變形等問題，因而曲面將無法順利製作實體肉厚，機構設計人員將無法順利進行 3D 機構設計；開發時程因而延誤，產品亦無法準時上市、錯失商機，將造成公司重大損失。因此，如何建構依正確的三角曲面，將是設計師或建構人員一項非常重要的課題。 本研究利用3D軟體Alias Studio進行電腦模擬及曲面曲率分析得知，製作三角曲面時，建構者先測定出其中一欲分割曲線之最小曲線值 (rmin)，而最適當的分割位置範圍應該為 1.9rmin and 5.4rmin之間，切割位置需落於曲面中線參數0.05與0.45之區域內。同時，以16位設計師為實驗對象加以驗證。依驗證得知，依此方法即可解決曲面不順、扭曲等問題，並建構出完整正確、可供機構設計及開模使用之三角曲面。 關鍵字：工業設計、3D 曲面、三角曲面、Gaussian 曲率、分割位置、切割位置
並列摘要
Abstract In the industrial design process, the greatest difference between computerization and non-computerization lies in the establishment of 3D virtual data. After the designer completes the 2D impression, 3D data will be established for configuration conceptualization. In the process of 3D construction, most of the curved surfaces of the configuration can be constructed via the quadrilateral surface construction method. Other than curved surfaces that can be completed through the quadrilateral surface construction method, construction staffs in the production process often encounter triangular curved-surface construction challenges such as: curved-surface configuration discrepancies, insufficient degree of saturation, undulated surfaces and distortion. As a result, it becomes difficult to make the physical section of the curved surfaces, and mechanism designers are unable to engage in 3D mechanism design. The development schedule is delayed, and introduction of the product to the market has to be postponed. The company has to sustain significant losses because of missed business opportunities. How to construct correct triangular curved surfaces, consequently, has become an extremely important issue confronting every designer and modeling maker. This study engages 3D software Alias Studio in computer simulation and curvature analysis. The result has indicated, in the process of producing triangular curved surfaces, the modeling maker first determines the minimum curvature value (rmin) of the curved line to be divided. The optimal dividing position is supposed to be between 1.9rmin and 5.4rmin, and the cutting position needs to fall within the range between the parameter 0.05 and 0.45 on the center line. Meanwhile, 16 designers were chosen as experiment subjects for verification. Experiment outcomes have shown this approach can resolve problems such as unsmooth, distorted curved surfaces and construct accurate, comprehensive triangular curved surfaces that can be utilized in mechanical design and die setting. Keywords: industrial design, 3D curved surface, triangular curved surface, Gaussian curvature, dividing position, cutting position