個人化產品為現今消費趨勢，與顏面相關產品的設計，需考量個別臉部幾何與尺寸的差異。本研究使用非接觸式量測技術，取得大量國內年輕女性顏面三維資料，經主成份分析法降維，使用線性與非線性廻歸模型，建立參數與網格頂點之關聯，成功發展人臉參數化模型；能根據使用者少量的臉部特徵尺寸，產生近似之三維人臉幾何。再透過攤平與貼圖映射技術，取得貼圖與模型對應關係，輸出高擬真效果的人臉模型。此外整合五軸力回饋裝置，針對美容彩妝，建立創新的虛擬化妝功能；對於與穿戴合適度相關的客製化商品設計，以自由造型變形，建構可調整之虛擬鏡框模型；並藉由擷取人臉模型幾何，進行高服貼度面膜設計；結合三項客製化功能，開發前瞻性互動式設計介面，提高擬真三維顏面資料附加價值，實現大量客製化概念。

摘要 i
致謝 ii
目錄 iii
圖目錄 v
表目錄 vii
第一章、緒論 1
1.1研究背景 1
1.2文獻探討 3
1.3研究目的 5
第二章、系統架構 7
2.1 系統概念架構 7
2.2 擬真參數化人臉模組 8
2.3 虛擬化妝模組 8
2.4 鏡框客製化模組 10
2.5 面膜客製化模組 11
2.6 小結 12
第三章、擬真參數化人臉模組 13
3.1人臉參數化模型 13
3.1.1三維顏面資料庫建置 13
3.1.2三維參數化模型建立 15
3.2人臉貼圖映射 17
3.2.1計算貼圖座標 18
3.2.2三維幾何攤平 23
3.3仿真頭髮建立 24
3.4結果 26
3.4.1參數化人臉結果 26
3.4.2人臉貼圖映射 28
3.5 小結 33
第四章、虛擬化妝模組 36
4.1 化妝色彩模擬 37
4.1.1 模型色彩變化 37
4.1.2 貼圖筆觸效果 37
4.2 化妝觸覺模擬 38
4.2.1 定義模型物理意義 38
4.2.2 觸覺模擬演算法 38
4.3 結果與討論 40
4.3.1 化妝色彩模擬結果 40
4.3.2 化妝觸覺模擬結果 42
4.3.3 化妝模擬之不佳結果 43
4.4 小結 45
第五章、鏡框客製化模組 46
5.1 自由造型變形模型 46
5.1.1 貝茲超曲面 46
5.1.2 自由變形模型建立 47
5.2 零組件組裝 48
5.2.1 定義零件模型與座標系 48
5.2.2 組裝介面點群迴歸平面 49
5.2.3 組裝零件之剛體轉換 50
5.3 結果討論 51
5.3.1 眼鏡模型自由變形結果 51
5.3.2 眼鏡腳面貼合結果 54
5.3.3 眼鏡造型失真結果 56
5.4 小結 57
第六章、面膜客製化模組 58
6.1 面膜模型建立流程 58
6.2 面膜攤平演算法 60
6.3 結果討論 61
6.4 小結 63
第七章、系統實作 65
7.1 程式執行環境 65
7.2 系統架構 65
7.3 參數化人臉系統 67
7.4 虛擬化妝系統 67
7.5 鏡框客製化系統 69
7.6 面膜客製化系統 74
第八章、結論與未來研究工作 76
8.1 結論 76
8.2 未來研究工作 77
參考文獻 79

[1] 黃延明，「眼鏡師訓練手冊」，財團法人徐氏基金會，1987。
[2] 楊智凱，「於擴增實境中使用多深度感測器之虛擬鞋品試穿技術」，清華大學工業工程與工程管理學系學位論文，2013。
[3] 吳銓友，「組裝模型中以自由度為基礎之幾何限制條件之研究」，國立台灣大學機械工程學研究所學位論文，2000。
[4] 梁昶煒，「基於力回饋搖桿之虛擬毛筆書寫系統」，交通大學電機與控制工程系所學位論文，2009。
[5] 王法強，耿國華，李康，賀毅岳，「基於特徵點約束的人臉紋理映射」，計算機應用研究，29，2，2012，3509-3511。
[6] 曾浚洋，「用於材質貼圖之三維顏面參數化模型」，清華大學工業工程與工程管理學系學位論文，2013。
[7] 鄭珏珉，「一套衣物搭配的即時互動系統」，國立台灣大學電機資訊學院資訊工程學系碩士論文，2009。
[8] 龍滕科技股份有限公司，http://www.ltech.com.tw/, Accessed June (2014).
[9] 楊攸奕，「基於擴增實境之產品客製化設計：虛擬試穿與網格變形」，國立清華大學工業工程與工程管理學系，碩士論文，2012。
[10] EZface - The Best-Selling Virtual Makeover
http://www.ezface.com/, Accessed July (2014).
[11] Mochimaru, M., and Kouchi, M. “Technologies for the design and retail service of well-fitting eyeglass frames,” Synthesiology-English edition Vol. 1 No. (2008).
[12] Huang, S.H., Yang Y.I., and Chu C.H. “Human-centric design personalization of 3D glasses frame in markerless augmented reality,” Advanced Engineering Informatics 26.1 (2012): 35-45.
[13] Wang, W. C., Chen, Y. H., and Kao, C. Y. “Integrating augmented reality into female hairstyle try-on experience,” Natural Computation (ICNC), 2011 Seventh International Conference on. Vol. 4. IEEE, 2011.
[14] Eisert, P., Rurainsky, J., and Fechteler, P. “Virtual mirror: real-time tracking of shoes in augmented reality environments,” Image Processing, 2007. ICIP 2007. IEEE International Conference on. Vol. 2. IEEE, 2007.
[15] Wang, L., Villamil, R., Samarasekera, S., and Kumar, R. “Magic mirror: a virtual handbag shopping system,” Computer Vision and Pattern Recognition Workshops (CVPRW), 2012 IEEE Computer Society Conference on. IEEE, 2012.
[16] Chen, A., Kao, C. Y., Chen, Y. H., and Wang, W. C. “Applying augmented reality to consumer garment try-on experience,” Transactions on computational science XIII. Springer Berlin Heidelberg, 2011. 169-190.
[17] Eisert, P., and Hilsmann, A. “Realistic virtual try-on of clothes using real-time augmented reality methods,” E-LETTER (2011).
[18] Kjærside, K., Kortbek, K. J., Hedegaard, H., and Grønbæk, K. “ARDressCode: augmented dressing room with tag-based motion tracking and real-time clothes simulation,” Proceedings of the Central European Multimedia and Virtual Reality Conference. 2005.
[19] Bradley, D., Roth, G., and Bose, P. “Augmented reality on cloth with realistic illumination,” Machine Vision and Applications 20.2 (2009): 85-92.
[20] Vlasic D., et al. “Face transfer with multilinear models,” ACM Transactions on Graphics (TOG). Vol. 24. No. 3. ACM, 2005.
[21] Blanz, V., and Vetter T. “A morphable model for the synthesis of 3D faces,” Proceedings of the 26th annual conference on Computer graphics and interactive techniques. ACM Press/Addison-Wesley Publishing Co., 1999.
[22] Mallick, S.P., and Trivedi M. “Parametric face modeling and affect synthesis,” Multimedia and Expo, 2003. ICME'03. Proceedings. 2003 International Conference on. Vol. 1. IEEE, 2003.
[23] Kwok, T. H., Zhang, Y., and Wang, C. C. “Efficient optimization of common base domains for cross parameterization,” Visualization and Computer Graphics, IEEE Transactions on 18.10 (2012): 1678-1692.
[24] Oliver, M. A., and Webster, R. “Kriging: a method of interpolation for geographical information systems,” International Journal of Geographical Information System 4.3 (1990): 313-332.
[25] Watt, A. 3D computer graphics. Addison-Wesley Longman Publishing Co., Inc., 1993.
[26] Lévy, B., Petitjean, S., Ray, N., and Maillot, J. “Least squares conformal maps for automatic texture atlas generation,” ACM Transactions on Graphics (TOG). Vol. 21. No. 3. ACM, 2002.
[27] Sander, P. V., Snyder, J., Gortler, S. J., and Hoppe, H. “Texture mapping progressive meshes,” Proceedings of the 28th annual conference on Computer graphics and interactive techniques. ACM, 2001.
[28] Mukaida, S., et al. “Facial image synthesis system: futon–evaluation as tools for cognitive research on face processing–,” Trans. IEICE 85 (2002): 1126-1137.
[29] Kraevoy, V., Sheffer, A., and Gotsman, C. “Matchmaker: constructing constrained texture maps,” ACM Transactions on Graphics (TOG) 22.3 (2003): 326-333.
[30] Tutte, W. T. “How to draw a graph,” Proc. London Math. Soc 13.3 (1963): 743-768.
[31] De Berg, M., Van Kreveld, M., Overmars, M., and Schwarzkopf, O. C. Computational geometry. Springer Berlin Heidelberg, 2000.
[32] Okamura, A. M. “Methods for haptic feedback in teleoperated robot-assisted surgery,” Industrial Robot: An International Journal 31.6 (2004): 499-508.
[33] Ryden, F., and Chizeck, H. J. “Forbidden-region virtual fixtures from streaming point clouds: remotely touching and protecting a beating heart,” Intelligent Robots and Systems (IROS), 2012 IEEE/RSJ International Conference on. IEEE, 2012.
[34] Baxter, B., Scheib, V., Lin, M. C., and Manocha, D. “DAB: interactive haptic painting with 3D virtual brushes,” Proceedings of the 28th annual conference on Computer graphics and interactive techniques. ACM, 2001.
[35] Kinashi, S., Sugisaki, Y., Kanao, H., Fujisawa, M., and Miura, K. T. “Development of a geometric modeling device with haptic rendering,” Computer-Aided Design and Applications 2.1-4 (2005): 283-290.
[36] PHANTOM Six-DOF input device by SensAble Technologies, Inc.,　
http://www.sensable.com, Accessed June (2014).
[37] Itkowitz, B., Handley, J., and Zhu, W. “The OpenHaptics™ toolkit: a library for adding 3D Touch™ navigation and haptics to graphics applications,” Eurohaptics Conference, 2005 and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems, 2005. World Haptics 2005. First Joint. IEEE, 2005.
[38] Weisstein, E. W. “Fourier transform--gaussian,” From MathWorld--A Wolfram Web Resource.
http://mathworld.wolfram.com/FourierTransformGaussian.html, Accessed June (2014).
[39] Sears, F. W., Zemansky, M. W., and Young, H. D. University physics. Reading, UK: Addison-Wesley, 1982.
[40] Sederberg, T. W., and Parry, S. R. “Free-form deformation of solid geometric models,” ACM Siggraph Computer Graphics. Vol. 20. No. 4. ACM, 1986.
[41] Zeid, I. Ibrahim. CAD/CAM theory and practice. McGraw-Hill Higher Education, 1991.
[42] Wang, C. C., Zhang, Y., and Sheung, H. “From designing products to fabricating them from planar materials,” IEEE Computer Graphics and Applications 30.6 (2010): 0074-85.
[43] Schröder, P., Zorin, D., DeRose, T., Forsey, D. R., Kobbelt, L., Lounsbery, M., and Peters, J. “Subdivision for modeling and animation,” SIGGRAPH 2000 Course Notes (2000).
[44] Chew, L. P. “Constrained delaunay triangulations,” Algorithmica 4.1-4 (1989): 97-108.
[45] Wang, C. C. “WireWarping: a fast surface flattening approach with length-preserved feature curves,” Computer-Aided Design 40.3 (2008): 381-395.
[46] Kobayashi, S., and Nomizu, K. Foundations of differential geometry. Vol. 1. No. 2. New York, 1963.
[47] Besl, P. J., and McKay, N. D. “Method for registration of 3-D shapes,” Robotics-DL tentative. International Society for Optics and Photonics, 1992.