臺灣博碩士論文加值系統

電腦輔助設計與逆向工程目前在工業界已被廣泛使用，尤其對曲面造型更扮演著重要角色。無論是由曲面設計或是以逆向工程所得之產品曲面資料，連續性要求都是力求產品美觀與便於製造的關鍵因素。本研究主要目的在於探討提昇B-spline曲面在連續性調整的效率，以自動化方式縮短工作時程。
本研究嘗試在取得B-spline曲面的幾何資料與拓樸資料同時，依曲面狀況動態設立參照關係與調整方向，達成自動化流程。使曲面資料在經過自動化的連續性調整後，更容易達到A級面的G2連續條件。

Computer aided design and reverse engineering are used wildly in industrial and played an important role for surface modeling。Continuity is the pivot factor for pursuing the beauty of product and the convenience of manufacturing process whether the surface data are derived from surface modeling or reverse engineering.The purpose for this research is to promote the efficiency of surface-continuity adjustment by automatic process.
This research attempts to build an automatic process by getting the geometry and topology data from surface and tries to construct the reference of patches.After the automated contunuity adjustment, G2 condition of class-A quality of surface can be obtained more easily.

致謝 i
摘要 ii
Abstract iii
目錄 iv
圖目錄 vi
表目錄 ix
第一章 導論 1
1.1 前言 1
1.2 研究動機 3
1.3 文獻回顧 4
1.3.1 實體模型 4
1.3.2 參數曲面連續條件 5
1.4 研究內容 6
1.5 研究限制 7
1.6 論文架構 8
第二章 B-Spline參數曲面之連續條件 9
2.1 位置連續 12
2.2 切平面連續 13
2.3 切平面連續方程式係數法則 15
2.4 曲率連續 17
2.5 曲率連續方程式係數法則 19
第三章 曲面連續性調整的自動化 22
3.1 曲面相接關係前處理 24
3.1.1 單位曲面相接型態判斷 24
3.1.2 單一參數方向相接參照關係 26
3.1.3 相接曲面參數資料 28
3.2 相接曲面連續性計算 29
3.2.1 單一參數方向相接曲面 29
3.2.2 雙參數方向相接曲面 30
3.2.3 連續衝突控制點之平衡解 34
3.2.4 連續衝突控制點之平衡解 37
第四章 系統實作與實例驗證 43
4.1 系統發展環境與實例驗證工具 43
4.2 實例驗證流程 44
4.3 單一參數方向搭接曲面連續性自動化調整驗證 45
4.4 雙參數方向搭接曲面連續性自動化調整驗證 51
4.5 實作探討 60
4.5.1 實作效果探討 60
4.5.2 連續方程式係數探討 61
第五章 結論與未來展望 63
5.1 研究成果與結論 63
5.2 未來展望 64
第六章 參考文獻 65
附錄A 數學化描述B-spline曲面連續方程式 67
A.1 連續方程式 67
A.2 連續方程式 75
作者簡歷 82

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[13]尤春風，Spring Solid System實體模型系統，國立台灣大學實體模型系統實驗室。
[14]尤春風，SpringSolidCAD電腦輔助設計系統，國立台灣大學實體模型系統實驗室。