75 Author s Address: Possibility of Spatial Frequency Analysis of the Three-dimensional Appearance and Texture of Facial Skin



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75 Author s E-mail Address: torii@shoin.ac.jp Possibility of Spatial Frequency Analysis of the Three-dimensional Appearance and Texture of Facial Skin in Male Portraits TORII Sakura Faculty of Human Sciences, Kobe Shoin Women s University Abstract 6 2 A spatial frequency analysis of facial images has shown that a highly accurate estimation of the gender and age of the face is possible. This study, on the subjects of Western and Japanese male portraits, attempts to discover whether it is possible to express the difference in representation, through the performance of spatial frequency analysis on parts of the face. I performed an analysis on six portraits: self-portraits of Goya, Rembrandt, Van Gogh, and Sesshuu Tōyō; Portrait of Pope Julius II by Raphael; and a portrait of Minamoto no Yoritomo. Using the developed program, I determined the spatial frequency power value of the portraits and compared the results. I found that, in the low spatial Journal of the Faculty of Human Sciences, Kobe Shoin Women s University, No. 4 March 2015, 75 86. No. 4 2015 3 75 86.

76 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 frequency band, the power values of the Japanese paintings were lower than those of the Western paintings. In the high spatial frequency band, the power value of Van Gogh s self-portrait was particularly large. The findings suggest that the power values of the low spatial frequency band reflect the three-dimensional appearance of the face, while the power values of the high spatial frequency band reflect the texture of the skin. Key Words: image analysis, facial image, Japanese painting, western painting 1 1998 Fig.1 RGB 2010, 2012 16cycle 16cycle 2007 1 512 cycle/ image-width c/iw 5 1 8 c/iw 9 16 c/iw 17 50 c/iw 51 90 c/iw 91 512 c/iw 1 8 c/iw 9 16 c/iw 17 50 c/iw 51 90 c/iw 91 512 c/iw

77 a. 1 cycle/image-width b. 6 cycle/image-width Fig.1 a b 2014a 5 c/iw 1, 4 c/iw 117 c/iw 2014b 2014 4 2 6 1 Raffaello Santi 1483-1520 1512 108.7 81 cm2 Rembrandt Harmensz. van Rijn 1606-1669 1659 17 52.7 42.7 cm 3 Francisco de Goya 1746-1828 1815 51 46 cm 4 Vincent van Gogh 1853-1890 1888

78 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 61 50 cm 5 12 1142-1205 143 112.8cm 6 1420-15061490 59.1 28.2cm 2 6 Wikimedia Commons 6 Photoshop 1,024 1,024 128 128 6 MATLAB R2009a FFT1~512 c/iw MATLAB R2009a 1 16 c/iw 17 512 c/iw 3 6 1 16 c/iw 17 512 c/iw Fig. 2~7 Fig.8 1 512 c/iw 3.1 1513 1 60

79 a. b. c. Fig.2 d. a. b. c. Fig.3 d. a. b. c. Fig.4 d.

80 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 a. b. c. Fig.5 d. a. b. c. Fig.6 d. a. b. c. Fig.7 d.

81 100000 100000 10000 10000 1000 1000 100 100 10 (cycle/image-width) a. 10 (cycle/image-width) d. 100000 100000 10000 10000 1000 1000 100 100 10 (cycle/image-width) 10 (cycle/image-width) b. e. 100000 100000 10000 10000 1000 1000 100 100 10 10 (cycle/image-width) (cycle/image-width) c. f. Fig.8 x, y 2008 60 512 c/iw Fig.8a 60 2 12 c/iw

82 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 3.2 1992 16 17 17 Fig.3d 2003 2003 Fig.8b 4 c/iw 6 150 200 c/iw Livingstone 2004 36 Fig.3 3.3 1792 46 1797 1803 1815 69

83 1 20 c/iw 90 512 c/iw 20 90 c/iw Fig.4d 3.4 1888 1888 9 821 124 2003 100 40 Fig.8d 3 6 c/iw 3 55 c/iw 2003 3.5 1142 1205 1994 4

84 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 4 44 c/iw Fig.8 2 1 44 c/iw 45 209 c/iw 3.6 71 1490 2003 Fig.8f 1 40 c/iw 5 100 c/iw 40 c/iw 4 1853-1908 1882, 1988 1 2 3 4 5 4 4 1 16 c/iw 2 17 c/iw

85 16 c/iw 17 c/iw F. 1988 1992 Pp.273-324. Livingstone, Margaret S., Conway, Bevil R. 2004 Was Rembrandt Stereoblind? New England Journal of Medicine 351 12, 1264-1265. 1994 2003 Pp.131-162 1998 2003 Pp.65-94. 2003 2010Clinical Neuroscience, Vol. 28, 1156-1160. 2012 BRAIN and NERVE, Vol.64, No.7, 717-726. 2014 636, 75-86. 2014a A J97-A 10, 657-664.

86 Journal of the Faculty of Human Sciences, Kobe Shoin Women s University No. 4 March 2015 2014b 14 1, 33-40. 2008 2007, Vol. 78, No.1, 33-41. : 2014. 12. 10