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 本文之目的在發展以手指運動操作資料手套來移動曲面控制點進而控制實體之變形的方法。本文中的實體表面是由B-spline自由曲面黏合而成。依此方法，使用者可以很容易做曲面實體的形狀變化，達到電腦造型的目的。 曲面實體表面是以雙三次B-spline曲面構成，相鄰曲面間以黏合方式構成拓樸上封閉表面的實體。透過介面經由滑鼠的按鍵來選擇曲面實體上的曲面及控制點，以單手五手指分別可操作曲面實體上的五個控制量，由手指的彎曲變化量，來產生控制點之參數量變化。 其操作可為單點、局部、線段、周圍及全曲面等操作。單點操作以選取曲面實體上的控制點作法線方向的位移變形；局部操作採以範圍控制法，其所變形的區域為一群控制點之影響範圍；線段操作由選取的整排控制點作位移或彎曲動作；周圍操作由選取的整圈控制點作位移或縮放的變形操作；而全曲面操作主要以姆指及食指分別控制兩個曲面所有的控制點，產生壓縮及伸長的變形。經由上述之各種變形操作，另可透過傾斜感測器控制曲面實體的旋轉。如此可透過手部姿勢的變化，可以模擬人體之手彎曲握捏實際物理實體的變形動作，以進行資料手套操控之雕塑幾何造型。
 The purpose of this thesis is to develop a method, which uses a data glove to move control points of surfaces through bendings of fingers and control the deformation of freeform surfaced solid. The surface of the solid is constructed by joining B-spline freeform surfaces. In such a way, a system for friendly computer modeling is constructed and users can easily change the shape of the freeform surfaced solid. The surface of the solid is composed of bicubic B-spline surfaces, of which adjacent surfaces are glued to form surface closed solid topologically. Using a mouse to choose surfaces and control points of the freeform surfaced solid, five fingers individually manipulate five controlled quantities on freeform surfaced solid through bendings of fingers. It is the bending of a finger which changes a corresponding parameter of the control points of a surfaced solid. Five types operators are proposed for manipulating the deformation of a solid, they are single point, region, line, periphery, and global operator. The single point manipulation is to select individual control point of freeform surfaced solid to move along normal direction by a finger bending. The region manipulation uses the method of range control, a group control points in a region are selected to move all together. The line manipulation chooses the control points of a line to be moved in a distance. The periphery manipulation chooses the control points in circles to move distances for deformation. The global manipulation chooses the thumb and the index finger to control all of control points on two surfaces, and produces the deformation either compressed or stretched. Besides the manipulation of deformation using finger bending, tilt sensor is used to control the rotation of a freeform surfaced solid. Consequently, using a data glove through bendings of fingers, it simulates a hand to grasp and act on a deformable solid, in order to deform a freeform surfaced model.
 中文摘要------------------------------------------------------------I 英文摘要-----------------------------------------------------------II 第一章 介紹---------------------------------------------------------1 1.1 研究背景------------------------------------------------------1 1.2 研究目的與方法------------------------------------------------1 1.3 文獻回顧及探討------------------------------------------------2 1.4 內容大綱------------------------------------------------------5 第二章 曲面實體的表示法---------------------------------------------6 2.1 B-Spline曲面的定義--------------------------------------------6 2.2 B-Spline曲面的轉換--------------------------------------------8 2.3 曲面實體的定義------------------------------------------------9 第三章 虛擬手套架構及曲面實體之結構--------------------------------13 3.1 虛擬手套介紹-------------------------------------------------13 3.2 虛擬手套設備之測試-------------------------------------------15 3.3 曲面實體的資料結構-------------------------------------------16 3.4 虛擬手套與曲面實體整合---------------------------------------17 第四章 曲面實體之變形操作法----------------------------------------19 4.1 單點變形操作-------------------------------------------------21 4.2 局部變形操作-------------------------------------------------23 4.3線段變形操作-------------------------------------------------27 4.3.1 以位移變形操作-------------------------------------------27 4.3.2 以彎曲變形操作-------------------------------------------28 4.4 周圍變形操作-------------------------------------------------30 4.4.1以位移變形操作-------------------------------------------30 4.4.2以周圍比例縮放變形操作-----------------------------------31 4.5 全曲面變形操作-----------------------------------------------33 第五章 曲面實體變形之實施----------------------------------------35 5.1系統架構-----------------------------------------------------35 5.2操作範例-----------------------------------------------------37 5.3結果討論-----------------------------------------------------50 第六章 結論與展望--------------------------------------------------51 6.1 結論---------------------------------------------------------51 6.2 未來展望-----------------------------------------------------52 參考文獻-----------------------------------------------------------53
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Salama, "Real-Time Volume Deformations", Computer Graphics, Vol. 20, No. 3, 2001, pp.443-451.5DT Data Glove 5 User’s Manual, V2.0, 2000.周武宏，曲面實體的碰撞偵測，碩士論文，國立中興大學機械工程研究所，2001。林正昀，平面模型輔助之曲面設計，碩士論文，國立中興大學機械工程研究所，1994。邱懿咨，多迴圈曲面之建構，碩士論文，國立中興大學機械工程研究所，1995。高成立，新一代造型設計系統的發展，碩士論文，私立大同工學院資訊工程研究所，1996。黃智麟，產品導向以進行範圍控制之特徵曲面設計，碩士論文，國立中興大學機械工程研究所，1996。陳建旭，應用感應手套模擬手部復健評估之研究，碩士論文，國立成功大學工業設計學系，2000。鄭啟英，虛擬實境在復健之應用，碩士論文，國立中央大學機械工程研究所，2000。彭國倫，虛擬雕塑系統，碩士論文，國立台灣大學資訊工程研究所，2001。
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 1 虛擬實境在復健之應用 2 曲面實體的碰撞偵測 3 研製雙手虛擬手套進行自由曲面實體之變形操作 4 虛擬雕塑系統 5 平面模型輔助之曲面設計 6 新一代造型設計系統的發展 7 多迴圈曲面之建構 8 以資料手套控制虛擬人偶之動作 9 用於手語溝通辨識系統之USB介面資料手套研製 10 傾斜度感測器資料手套之鍵盤輸入裝置 11 網頁為基之虛擬雕塑系統研發 12 基礎框架之虛擬手套輔助曲面變形設計 13 應用於曲面設計之應變規彎度感測器之虛擬手套 14 虛擬雕刻雛型系統之建構 15 2D影像轉3D實體物件之雕刻系統

 1 呂玉琴(民80)。分數概念:文獻探討。臺北師院學報，4，573-606。 2 王振德、鄭聖敏（民87）。兒童哲學方案評介及其在資優教育的應用。 3 郭重吉(民81)。從建構主義的觀點探討中小學數理教學的改進。科學發展月刊，２０，548-570。 4 劉富連（民88）。數學科的另類教學活動-擬題。師友月刊，55，54-56。

 1 互動超媒體設計應用於虛擬資訊空間之研究 2 虛擬實境應用於船舶避碰訓練系統之研究 3 數位博物館網路學習環境設計之評估研究：以「蝴蝶生態面面觀」系統為例 4 波浪中船體運動之虛擬實境操縱模擬 5 逆向工程模型資料重建與實體製造 6 使用者態度與使用行為意向關係之研究---以農產品行銷資訊系統為例 7 購買涉入、購買動機、網站環境特性對網路生鮮蔬菜購買意願之影響 8 幾何形體與特殊形體的空間感知-以虛擬實境探討專家生手的空間感知差異 9 從注意力選擇模型進行視覺注意力之量化分析 10 消費者特性與網際網路購物意願關係之研究--以生鮮食品為例 11 『空間性互動介面』－實體使用介面於三度空間電腦輔助建築設計上的應用 12 長行程奈米定位系統研究 13 立體視覺於動態物體軌跡追蹤之應用研究 14 技專校院圖書館個人化資訊服務之研究-以台中技術學院圖書館為例 15 影像次像素應用在米粒檢測之研究

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