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研究生: 林義斌
論文名稱: 電腦輔助設計實體建模表現與空間能力關係之研究
A Study of the Relationship between the Performance of CAD Solid Modeling and Spatial Ability
指導教授: 莊修田
Chuang, Hsiu-Tyan
饒達欽
Rau, Dar-Chin
學位類別: 博士
Doctor
系所名稱: 工業教育學系
Department of Industrial Education
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 472
中文關鍵詞: 工程圖學電腦輔助設計實體模型空間能力視覺化視覺分割
英文關鍵詞: Engineering Graphics, Computer-Aided Design, Solid Model, Spatial Ability, Visualization, Visual Parsing
論文種類: 學術論文
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  • 傳統的工程圖學,基於正投影原理,透過平面多視圖描述空間中物體的型態和尺寸;目前工程領域使用的電腦輔助設計(CAD)軟體,則透過實體模型技術直接在電腦裡建立物體的3D模型,等到模型建立之後,系統也能自動產生各種圖形,不必另外繪製。這種以3D模型為主的設計繪圖和溝通方式,具有多種效用和良好的視覺效果,也是同步工程設計的關鍵。由此可知,電腦輔助設計的使用和普及,不僅改變傳統圖形的溝通方式和設計製造的程序,也將改變工程人員的思維。
    圖學與視覺化的研究一向密不可分。傳統上,視覺化能力在許多以圖形表達的學科,或需要依賴空間能力的專業領域,具有高度的相關和預測效果。大部分學者也都相信,空間能力可以透過工程圖學的訓練和學習加以改善。由於3D CAD已經成為工程設計的主要媒介,因此,實體模型的使用,是否會影響人們視覺化能力的發展和專業表現?實體建模的構念,是否會改變傳統空間能力的定義、成分和測量方式?值得深入探討。
    本研究旨在探討以實體模型為主的3D CAD與圖形溝通和空間視覺化的關係。為達研究目的,採混合設計取向,分成探索與實驗兩階段。研究的探索階段,主要以專家訪談和個案觀察為主,旨在瞭解實體建模的構念;研究的實驗階段,則根據第一階段的研究結果設計教學實驗,旨在探討實體建模與空間視覺化的關係,以及影響實體建模表現的因素。具體來說,本研究主要結論如下:(1)CAD改變傳統圖形溝通的方式;(2)實體建模與傳統工程繪圖的觀念及所需的心理能力已經不同;(3)視覺分割和組合是實體建模的重要構念;(4)實體模型的操弄和學習可以促進視覺化能力的發展;(5)視覺分割和組合是影響實體建模表現的主要因素。

    Conventionally, engineering graphics is based on the orthography and presents an real object with the abstract and planr multi-views to describe the shape and dimension. Nowadays, the 3D CAD in the domain of engineering and manufacturing, which is based on the technique of solid modeling, is constructing a 3D virtual model with software directly. While the model was completed, all of the desired graphics will be generated automatically. Due to the excellent visual effect and various availability of 3D solid model, the CAD database also becomes the key factor of concurrent engineering. Therefore, the application and popularity of CAD, not only changing the process of engineering design and manufacture, but also altering the way of graphic communication, as well as the design thinking of engineers.
    There is an intimate connection between the investigation of graphics and visualization. Traditionally, the ability of visualization is very important and possesses high correlation and predictability in many scientific disciplines which require communication with graphics as well as various professional and technological tasks which rely on spatial ability. Most researchers believed that spatial ability could be improved significantly through the learning and training of engineering graphics. Since 3D CAD is becoming the central media of graphic expression, it is very important to probe whether the definition, components and measurement of traditional spatial ability might required revision or not.
    This paper is aimed at the investigation of the relationship between the performance of 3D solid modeling and graphic communication as well as spatial visualization. For these purposes, this study adopted a mixed-method approach. The first stage was an exploratory design, which was done mainly by way of interviews with experts and case observation. The findings and results were to be referred to for the instructional experiment in the next step. The second stage was an experimental design of nonequivalent pretest-posttest, which was used to explain the findings of the first stage. Concretely speaking, the conclusions of this paper are as follows: 1) CAD is changing the way of conventional graphic communication; 2) the concept and required mental skills between 3D solid modeling and traditional engineering graphics are totally different; 3) the skill of visual parsing and mental composing are the principal competence of solid modeling; 4) the learning and manipulating of 3D solid model are beneficial to the spatial visualization; and 5) the skill of visual parsing and mental composing are the primary factors that affect the performance of solid modeling.

    謝 誌 中文摘要 英文摘要 目 錄 第一章 緒論……………………………………………………………… 1 第一節 研究動機…………………………………………………… 2 第二節 研究目的…………………………………………………… 8 第三節 名詞解釋…………………………………………………… 13 第四節 研究範圍與限制…………………………………………… 16 第二章 文獻探討……………………………………………………… 19 第一節 圖學與電腦輔助設計概論………………………………… 20 第二節 實體模型概論……………………………………………… 35 第三節 空間能力研究的發展……………………………………… 54 第四節 空間能力的成分及測量…………………………………… 67 第五節 美國工程圖學與空間能力研究概況…………………… 114 第六節 我國空間能力研究概況………………………………… 137 第七節 3D實體建模相關研究及理論…………………………… 146 第三章 研究設計與實施……………………………………………… 159 第一節 研究設計………………………………………………… 159 第二節 研究架構………………………………………………… 162 第三節 研究方法與研究對象…………………………………… 164 第四節 研究工具………………………………………………… 171 第五節 資料處理………………………………………………… 187 第四章 研究結果與討論……………………………………………… 191 第一節 專家訪談結果與討論…………………………………… 192 第二節 個案觀察結果與討論…………………………………… 201 第三節 教學實驗結果與討論…………………………………… 237 第五章 結論與建議…………………………………………………… 255 第一節 結論……………………………………………………… 256 第二節 建議……………………………………………………… 265 參考文獻………………………………………………………………… 271 附 錄………………………………………………………………… 299 附錄一、專家訪談之半結構問卷…………………………………… 301 附錄二、個案觀察試題之解答及繪圖步驟………………………… 305 附錄三、個案觀察錄影工具--Camtasia Studio基本設定……… 321 附錄四、普度空間視覺化測驗題本、答案紙及標準答案………… 329 附錄五、零件組合測驗題本、答案紙及標準答案………………… 355 附錄六、3D實體建模實作評量測驗題本及成績登記表…………… 377 附錄七、個案觀察之解題歷程……………………………………… 407 附錄八、3D實體建模教學干預課程內容…………………………… 427 表 目 錄 表2-1 Wattanawaha的空間任務DIPT分類系統…………………………… 66 表2-2 Eliot和Smith的空間能力測驗分類架構…………………………… 75 表2-3 Eliot和Smith與Wiesen的空間能力測驗分類比較………………… 95 表2-4 McGee的空間能力成分及其測驗工具………………………………… 98 表2-5 Maier的空間能力成分調查…………………………………………102 表2-6 Olkun的空間能力及其測驗工具……………………………………103 表2-7 Eliot、Wiesen和Kang的空間能力測驗分類比較……………………145 表3-1 3D CAD教學進度表……………………………………………………170 表3-2 實體建模測驗選題雙向細目表………………………………………185 表4-1 個案觀察及解題結果一覽表…………………………………………202 表4-2 空間能力、組合能力與實體建模表現分數之統計描述……………239 表4-3 配對樣本統計量………………………………………………………240 表4-4 配對樣本相關表………………………………………………………240 表4-5 配對樣本檢定表………………………………………………………240 表4-6 獨立樣本組別統計量…………………………………………………241 表4-7 獨立樣本檢定表………………………………………………………241 表4-8 空間視覺化能力測驗前、後測分數之相關係數表…………………243 表4-9 空間視覺化能力測驗前測與組合能力測驗分數之相關係數表……243 表4-10 空間視覺化能力前測與實體建模實作評量分數之相關係數表……244 表4-11 組合能力測驗與實體建模實作評量分數之相關係數表……………244 圖 目 錄 圖1-1 傳統工程圖形溝通…………………………………………………… 9 圖1-2 3D實體模型電腦輔助設計功能示例………………………………… 11 圖2-1 Dürer的人類頭部投影圖…………………………………………… 22 圖2-2 立體圖表示法………………………………………………………… 24 圖2-3 物體的平面投影圖和等角圖………………………………………… 24 圖2-4 想像的交互作用……………………………………………………… 33 圖2-5 基本幾何型體………………………………………………………… 43 圖2-6 物體的分解與組成…………………………………………………… 44 圖2-7 實體組合原理………………………………………………………… 45 圖2-8 布林運算原理………………………………………………………… 46 圖2-9 傳統設計程序………………………………………………………… 47 圖2-10 CAD資料庫為同步工程的核心……………………………………… 50 圖2-11 同步工程的模型……………………………………………………… 50 圖2-12 同步工程設計概念…………………………………………………… 51 圖2-13 同步工程圖學概念…………………………………………………… 53 圖2-14 Tarte的空間能力分類結構………………………………………… 70 圖2-15 仿製和迷宮測驗……………………………………………………… 76 圖2-16 圖形嵌入測驗………………………………………………………… 77 圖2-17 視覺記憶測驗………………………………………………………… 78 圖2-18 紙型版測驗…………………………………………………………… 79 圖2-19 圖形旋轉測驗………………………………………………………… 81 圖2-20 積木測驗……………………………………………………………… 82 圖2-21 積木旋轉測驗………………………………………………………… 83 圖2-22 紙張摺疊測驗………………………………………………………… 85 圖2-23 表面展開測驗………………………………………………………… 86 圖2-24 透視測驗……………………………………………………………… 88 圖2-25 讀圖測驗……………………………………………………………… 89 圖2-26 線條追蹤測驗………………………………………………………… 90 圖2-27 形狀配合測驗………………………………………………………… 90 圖2-28 視覺比較測驗………………………………………………………… 91 圖2-29 物體旋轉測驗………………………………………………………… 91 圖2-30 切割測驗……………………………………………………………… 91 圖2-31 拼圖測驗……………………………………………………………… 92 圖2-32 打孔測驗……………………………………………………………… 92 圖2-33 隱藏積木測驗………………………………………………………… 92 圖2-34 積木計算測驗………………………………………………………… 93 圖2-35 方盒製作測驗………………………………………………………… 93 圖2-36 已知形狀摺紙測驗…………………………………………………… 93 圖2-37 未知形狀摺紙測驗………………………………………………… 94 圖2-38 零件組合測驗………………………………………………………… 94 圖2-39 Thurston機械性向測驗的積木組合分測驗………………………… 96 圖2-40 空間關係和空間視覺化的測量……………………………………… 99 圖2-41 測量五種空間能力成分的測驗……………………………………100 圖2-42 心理旋轉測驗試題範例……………………………………………110 圖2-43 普度空間視覺化測驗試題範例……………………………………112 圖2-44 立體旋轉空間定位測驗範例………………………………………141 圖2-45 平面旋轉空間定位測驗範例………………………………………141 圖2-46 立體展平空間關係測驗範例………………………………………141 圖2-47 型版摺合空間關係測驗範例………………………………………141 圖2-48 型版分解空間關係測驗範例………………………………………142 圖2-49 型版組合空間關係測驗範例………………………………………142 圖2-50 表面相交線形成空間感觀測驗範例………………………………142 圖2-51 型版連結空間視覺測驗範例………………………………………142 圖2-52 型版組合空間視覺測驗範例………………………………………143 圖2-53 圖形對應空間關係測驗範例………………………………………143 圖2-54 物體多向圖形空間組織測驗範例…………………………………143 圖2-55 平面轉換立體空間組織測驗範例…………………………………143 圖2-56 概化圓錐的各種造型………………………………………………153 圖2-57 Biederman的幾何離子………………………………………………154 圖2-58 幾何離子與物體辨識………………………………………………154 圖2-59 物體的內隱與外顯型態……………………………………………156 圖3-1 混合模式設計的種類………………………………………………161 圖3-2 研究架構……………………………………………………………163 圖3-3 實驗設計……………………………………………………………169圖3-4 個案觀察試題一:簡易接頭三視圖…………………………………176 圖3-5 個案觀察試題二:滑塊三視圖………………………………………177 圖3-6 個案觀察試題三:支架三視圖………………………………………178 圖3-7 個案觀察試題四:複雜本體三視圖…………………………………179 圖3-8 個案觀察試題五:曲面物體三視圖…………………………………180 圖3-9 組合測驗範例………………………………………………………183 圖3-10 組合測驗範例解答…………………………………………………183 圖3-11 實體建模實作評量試題範例………………………………………186 圖4-1 個案一:簡易接頭的解題歷程………………………………………205 圖4-2 個案一:滑塊的解題歷程……………………………………………206 圖4-3 個案一:支架解題歷程的部分畫面…………………………………207 圖4-4 個案一:複雜本體的解題歷程………………………………………209 圖4-5 個案一:曲面物體的解題結果………………………………………210 圖4-6 個案二:簡易接頭的解題歷程………………………………………211 圖4-7 個案二:滑塊的解題歷程……………………………………………213 圖4-8 個案二:支架的解題歷程……………………………………………214 圖4-9 個案二:複雜本體的解題歷程………………………………………216 圖4-10 個案二:曲面物體的解題歷程………………………………………217 圖4-11 個案三:簡易接頭的解題歷程………………………………………219 圖4-12 個案三:滑塊的解題歷程……………………………………………220 圖4-13 個案三:支架的解題歷程……………………………………………221 圖4-14 個案三:複雜本體的解題歷程………………………………………223 圖4-15 個案三:曲面物體的解題歷程………………………………………224 圖4-16 個案四:簡易接頭的解題歷程………………………………………226 圖4-17 個案四:滑塊的解題歷程……………………………………………227 圖4-18 個案四:支架的解題歷程……………………………………………228 圖4-19 個案四:複雜本體的解題歷程………………………………………229 圖4-20 個案四:曲面物體的解題歷程………………………………………231 圖4-21 立方體的三視圖……………………………………………………232 圖4-22 曲面物體的三視圖為該物體的邊視圖……………………………233 圖4-23 邊視圖無法交集出物體的曲面……………………………………233 圖4-24 實體建模練習範例…………………………………………………245 圖4-25 實體建模範例之解題步驟…………………………………………246 圖4-26 實體建模範例之正確解法(一)……………………………………247 圖4-27 實體建模範例之正確解法(二)……………………………………248 圖4-28 實體建模範例之正確解法(三)……………………………………249 圖4-29 實體建模範例之正確解法(四)……………………………………250 圖4-30 實體建模範例之不當解法(一)……………………………………251 圖4-31 實體建模範例之不當解法(二)……………………………………252 圖4-32 實體建模範例之不當解法(三)……………………………………253

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