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研究生: 林照鈞
Chao-chun Lin
論文名稱: 智慧型機器人之簡單代數教學影像處理技術
Image Processing Techniques for Algebra Teaching by Intelligent Robot
指導教授: 林其禹
Chyi-Yeu Lin
口試委員: 范欽雄
Chin-Shyurng Fahn
鐘國亮
none
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 66
中文關鍵詞: 影像處理手寫數字辨識影像辨識
外文關鍵詞: Image Processing
相關次數: 點閱:142下載:3
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摘要
本論文提出應用至DOC-2機器人上之代數教學與數字影像辨識系統。使用者可藉由磁鐵式貼片文字或手寫文字在白板上與機器人溝通,進行代數問答教學。教學的內容包含加法、減法、乘法、除法、一元一次方程式以及二元一次聯立方程式。本論文所使用的白板為經過邊框標記加工的市售白板。文字則有兩種方式,一為吾人自製的磁鐵式貼片文字,二為手寫式文字。兩種文字辨識系統所能夠辨識的對象包含0~9之數字,加減乘除等號運算符號以及變數代號a和b共17種符號。磁鐵式貼片文字共有兩份34個,手寫式文字則限定用黑色白板筆書寫,使用前須確定所使用的文字,進行切換辨識系統。兩種文字都以白板為載體,標示代數式,經由DOC-2機器人辨識後將答案以語音的方式讀出,達到代數教學的目的。


Abstract
This thesis proposes a system of algebra teaching and numeric image recognition, which is integrated on the DOC-2 intelligent robot. For proceeding question-and-answer algebra teaching, users communicate with the robot by adhering printed numerals or writing numerals on the whiteboard. The categories of the algebra teaching include addition, subtraction, multiplication, division, one-variable linear equation and two-variable linear equations. The whiteboard used in this thesis is the marketed whiteboard whose frame has been pre-processed. As to the numerals, they are in two forms: the magnets of numerals and the handwritten numerals. 17 signs can be recognized by these two recognition systems of numerals, including numerals 0 to 9, the operational signs, such as the plus sign(+), the subtraction sign(-), the multiplication sign(×), the division sign(÷), the equal sign(=), and two variables “a” and “b”. There are two sets of printed numerals, making the total number of numerals for determination to 34. The handwritten numerals are limited to be written by whiteboard markers in black color only. Users should define the recognition system first according to the form of the numerals; printed or hand-writing. Then through the developed recognition system, the robot can teach algebra in an interactive manner.

目錄 摘要 I ABSTRACT II 目錄 III 圖片目錄 VI 表格目錄 IX 第1章 緒論 1 1.1. 研究動機與目的 1 1.2. 相關研究回顧 1 1.2.1形狀辨識方面 2 1.2.2文字辨識 2 1.3. 論文架構 5 第2章 白板的設計與偵測 6 2.1白板的設計 6 2.2白板的偵測 7 2.2.1. 濾色(Color Filtering) 7 2.2.2. 二值化(Threshold) 9 2.2.3. 群組(Grouping) 10 2.2.4. 遮罩(Masking) 12 2.2.5. 檢查定位點(Reference Points) 13 第3章 文字的辨識 15 3.1 字體前期處理 15 3.1.1. 文字資料庫 16 3.1.2. 磁鐵式文字貼片的前期處理 17 3.1.3. 手寫文字的前處理 17 3.1.4. 轉正(Orientation) 22 3.1.5. 字體切割(Isolate Character) 23 3.1.6. 正規化(Normalization) 25 3.2 磁鐵式文字貼片辨識 25 3.3手寫文字辨識 27 3.3.1 字體特徵抽取 27 3.3.2 類神經網路簡介 31 3.3.3訓練倒傳遞類神經網路 35 3.3.4 特定文字的二次確認 37 第4章 代數式計算 41 4.1 運算的限制 41 4.2 代數式的計算 42 4.3 方程式計算 42 4.3.1 一元一次方程式 42 4.3.2 二元一次聯立方程式 42 第5章 實驗結果 44 5.1 磁鐵式貼片文字 44 5.2 手寫字體 47 5.3 手寫辨識結果比較 52 第6章 結論與未來展望 54 6.1結論 54 6.2未來展望 54 參考文獻 56

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