女性美的幾何學原理

The Geometric Principle of Female Beauty

10.30001/JIES.201006.0011

尤善臻；程龍君；陳明玟；曾鈺娥；謝宛陵；吳錦生

女性美 ； 美麗評估 ； 幾何 ； 黃金比例 ； female beauty ； beauty assessment ； geometric ； golden proportion

美容科技學刊

7卷2期（2010 / 06 / 01）

211 - 227

繁體中文

近年來，台灣蓬勃發展的美容化妝品相關科系皆開設有美學導向課程。因而想要探討美學課程中的主體－女性美是否存在某些幾何規律。本研究取材自國內外論文、書籍、影片等文獻，歸納出不分年齡、種族和性別等團體都會表現出對美麗評估的一致性。而其中1:1.618的黃金比例，頻頻在美麗的人體比例和美麗的面部比例上出現，是人們所公認的美學標準，也被最新的電腦自動臉部辨識分析結果所驗證。

In recent years, Taiwanese cosmetics-related departments are set up sequentially with aesthetic oriented courses. Accordingly in this paper, we will explore female beauty which could correspond to certain geometric rule on the subject of these aesthetic courses. Deriving from such documents as international papers, books and videos, we could conclude that people are in agreement on beauty assessment regardless of age, race and gender groups. The golden proportion with 1:1.618 frequently detected in the beautiful human face or body proportion, was recognized by people as the aesthetic standard and also was proven by automated facial image identification analysis lately.

1. Yu-Cheng Chang, Emmy Aesthetic Surgery Clinic.: http://www.emmy.com.tw/gold.php (於2010-03-13查閱)
2. NIST/SEMATECH e-Handbook of Statistical Methods,(2006) http://www.itl.nist.gov/div898/handbook/（於2010-03-05查閱）
3. Marquardt Beauty Analysis,(2000), http://www.beautyanalysis.com/Index2_mba.htm(於2010-03-10查閱)
4. 2009國家科技發展重要措施六、結合人文藝術與科技創新，推展具國際競爭力之文化藝術http://stprogram.stpi.org.tw/index.htm（於2010-03-03查閱）
5. BBC,(2001),Science-the Human Face,Part Three:Survival of the Prettiest.五官奧妙3-俊男美女.
6. Bell, A.(1997).The Definition of Beauty.Nature,October/November
7. Borissavlievith, M(1958).The Golden Number and the Scientific Aesthetics of Architecture.A. Tiranti:London.
8. Doczi, G.(1994).The Power of Limits: proportional harmonies in nature, art, and architecture.Shambhala Publications.
9. Elam, Kimberly(2001).Geometry of design: studies in proportion and composition.Baker & Taylor Books.
10. Epker, N. B.,Koury, M. E.(1992).Maxillofacial esthetics: anthropometrics of the maxillofacial region.Journal of Oral Maxillofacial Surgery,50,806-820.
11. Farkas, L. G.(1994).Anthropometry of the Head and Face (second ed.).Raven Press.
12. Farkas, L. G.,Hreczko, T. A.,Kolar, J. C.,Munro, I. R.(1985).Vertical and horizontal proportions of the face in young adult North American caucasians.Plastic and Reconstructive Surgery,75(3),328-338.
13. Farkas, L. G.,Kolar, J. C.(1987).Anthropometrics and art in the aesthetics of women's faces.Clinics in Plastic Surgery,14(4),599-616.
14. Graf, H.P.,Chen,T.,Petajan, E.,Cosatto, E.(1995).Locating faces and facial parts.Proceedings of First International Workshop on Automatic Face and Gesture Recognition
15. Gunes, H.,Piccardia, M.(2006).Assessing facial beauty through proportion analysis by image processing and supervised learning.International Journal of Human-Computer Studies,64(12),1184-1199.
16. Hjelmas, E.(2002).Face detection: a survey.Computer Vision and Image Understanding,83,236-274.
17. Huntley, H. E.(1970).The Divine Proportion: A Study in Mathematical Beauty.Dover Publications.
18. Larrabee, W.(1997).Facial beauty: myth or reality.Archives of Otolaryngology-Head and Neck Surgery,123(6),571-572.
19. Shi, Shi Fang,Wu, Zi,Pan, Mao Sen,Li, Hanming(2005).final project reportfinal project report,未出版
20. Yang, M.,Kriegman, D. J.,Ahuja, N.(2002).Detecting faces in images: a survey.IEEE Transactions on Pattern Analysis and Machine Intelligence,24(1),34-58.
21. Yellin, S.(1997).Aesthetics for the next millennium.Facial Plastic Surgeons Monographs,13(4),231-239.
22. Yow, K.C.,Cipolla, R.(1995).Finding initial estimates of human face location.Proceedings of Second Asian Conference on Computer Vision
23. Yow, K.C.,Cipolla, R.(1996).A probabilistic framework for perceptual grouping of features for human face detection.Proceedings of Second International Conference on Automatic Face and Gesture Recognition
24. Yow, K.C.,Cipolla, R.(1997).Feature-based human face detection.Image and Vision Computing,15(9),713-735.
25. 徐明珠(2005)。跟著民生需求走－家政與餐旅教育正流行。教育部技術及職業教育雙月刊，85

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