• Title/Summary/Keyword: Golden ratio

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Kansei Comparison of Form-ratio by Factor Analysis

  • Nishino, Tatsuo;Nagamachi, Mitsuo
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2000.04a
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    • pp.248-252
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    • 2000
  • Form-ratio means the ratio of height/Width/Depth in 3-dimensions. The golden ratio or golden section is included as one of the form-ratio. We conducted two kinds of kansei experiments of cubic model and refrigerator varied from 1:1:1 to 1:1:3.66 on the scale of x:y:z. The subjects evaluate the form-ratios of 3-dimensional cubes and virtual products with SD-scale Kansei words(feelings and images). We applied the factor analysis to identify semantic space in cube model and virtual products. Finally, we compared with kansei structure of cube model and virtual product.

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A Study on Content Layers Format Development for Smart Device using Golden Ratio (황금비율을 이용한 스마트 디바이스용 컨텐츠 레이어 포맷 개발을 위한 연구)

  • Kang, Joonsang;Lee, Jaewoo;Cha, Jaesang;Lee, Seonhee
    • Journal of Satellite, Information and Communications
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    • v.9 no.3
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    • pp.5-8
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    • 2014
  • Recently, smart devices can be used with a variety of programs. Because of these characteristics, suitable lectures are provided to mobile device in Korea educational facilities. However, it is possible to reduce the learning efficiency from taking courses. because of many smart devices are using in a small display. Therefore, we need effectively in a small display content layout for overcome these problems. In this paper, we proposed content layer format for smart devices by Illustrated Programs based on Golden Ratio.

A Study on the Eigen Ethnic Function and Mathematical Processing Method of Human Information (인적정보의 고유기능과 계량화 방안에 관한 연구)

  • 김홍재;서윤정
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.40
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    • pp.329-339
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    • 1996
  • This study presents the eigen ethnic function and mathematical processing method of human information. Human information can be definded as the overlap area taking the superposition property composed of intuition and sensory in stimulus/response (S/R) model, In S/R model, the intuition and sensory eigen ethnic function acts on the forming of perception. Perception process by the superposition property of intuition and sensory analogy to the basic neural network model. This analogy model extends to the analysis method. As an analysis method, optimal ratio number induced to the golden section ratio. Golden section ratio drived out by diverse source and implicated to the sensory and intuitive context such as beauty, harmony, optimality etc. This numerical orders can be applied to analysing the Perception process and extended to pursue the Potential human behavior, On the basic of proposed applying method, an illustrative mathematical examples are presented.

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GOLDEN RATIO RIESZ-NÁGY-TAKÁCS DISTRIBUTION

  • Baek, In-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.247-252
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    • 2011
  • We study some properties of the Riemann-Stieltjes integrals with respect to the Riesz-$N\acute{a}gy$-$Tak\acute{a}cs$ distribution $H_{a,p}$ and its inverse $H_{p,a}$ on the unit interval satisfying the equation 1 - a = $a^2$ and p = 1 - a. Using the properties of the dual distributions $H_{a,p}$ and $H_{p,a}$, we compare the Riemann-Stieltjes integrals of $H_{a,p}$ over some essential intervals with that of its inverse $H_{p,a}$ over the related intervals.

A three-dimensional photogrammetric analysis of the facial esthetics of the Miss Korea pageant contestants

  • Jang, Kab Soo;Bayome, Mohamed;Park, Jae Hyun;Park, Ki-Ho;Moon, Hong-Beom;Kook, Yoon-Ah
    • The korean journal of orthodontics
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    • v.47 no.2
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    • pp.87-99
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    • 2017
  • Objective: The aims of this study were to measure and compare the facial dimensions of the Miss Korea pageant contestants and a selected group of women from the general population by using three-dimensional (3D) image analysis, as well as to compare various facial ratios to the golden ratio within each group. Methods: Three-dimensional images of 52 Miss Korea pageant contestants (MK group) and 41 young female adults selected from the general population (GP group) were acquired. Fifty-four variables and ratios were measured and calculated. Intergroup comparisons were performed using multivariate analysis of variance. Results: Compared to the GP group, the MK group showed greater total facial height and eye width, lesser lower-facial height, and lesser facial, lower-facial, and nasal widths. Moreover, compared to the GP group, the MK group had more protruded noses with greater nasolabial angle, greater vertical curvature of the foreheads, lesser horizontal curvature of the cheek, and lesser lower-lip-and-chin volume. Conclusions: The MK group had longer faces but smaller lower lips and chins than did the GP group. The golden ratio was not matching the current facial esthetic standards. These data might be beneficial for treatment planning of patients undergoing orthognathic and plastic surgeries.

Study on Visual Patterns about Spatial Dimensions - Centered on the Golden Ratio, Fibonacci Sequence, and Fractal Theory - (공간 차원에 관한 시각적 패턴 연구 - 황금비, 피보나치 수열, 프랙털 이론을 중심으로 -)

  • Kim, Min-Suk;Kim, Kai-Chun
    • Korean Institute of Interior Design Journal
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    • v.23 no.1
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    • pp.88-95
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    • 2014
  • This study intended arousal of other viewpoints that deal with and understand spaces and shapes, by describing the concept of 'dimensions' into visual patterns. Above all, the core concept of spatial dimensions was defined as 'expandability'. Then, first, the 'golden ratio', 'Fibonacci sequence', and 'fractal theory' were defined as elements of each dimension by stage. Second, a 'unit cell' of one dimension as 'minimum unit particles' was set. Next, Fibonacci sequence was set as an extended concept into two dimensions. Expansion into three dimensions was applied to the concept of 'self-similarity repetition' of 'Fractal'. In 'fractal dimension', the concept of 'regularity of irregularity' was set as a core attribute. Plus, Platonic solids were applied as a background concept of the setting of the 'unit cell' from the viewpoint of 'minimum unit particles'. Third, while 'characteristic patterns' which are shown in the courses of 'expansion' of each dimension were embodied for the visual expression forms of dimensions, expansion forms of dimensions are based on the premise of volume, directional nature, and concept of axes. Expressed shapes of each dimension are shown into visually diverse patterns and unexpected formative aspects, along with the expression of relative blank spaces originated from dualism. On the basis of these results, the 'unit cell' that is set as a concept of theoretical factor can be defined as a minimum factor of a basic algorism caused by other purpose. In here, by applying diverse pattern types, the fact that meaning spaces, shapes, and dimensions can be extracted was suggested.

Soft Tissue Change in Frontal View after Orthognathic Surgery for Class III Malocclusion: Analysis Using Facial 'Phi' Mask (Facial 'Phi' Mask를 이용한 3급 부정교합 환자의 악교정수술 후 정면부 연조직의 변화)

  • Heo, Young-Min;Kim, Hong-Soek;Paeng, Jun-Young;Hong, Jong-Rak;Kim, Chang-Soo
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.33 no.6
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    • pp.490-496
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    • 2011
  • Purpose: Dr. Marquardt made the facial 'phi' mask using golden ratio. Most class III patients have bulky faces and want a smaller face. Using a facial golden mask, this study estimated and compared frontal photographs before and after operation for soft tissue measurement. The golden mask can be considered as a reference tool for facial esthetic analyses especially in lower face. Methods: Forty patients who had undergone orthognathic surgery at Samsung Medical Center from January 2006 to December 2009 were included in this study. These patients had Class III malocclusion. Lateral cephalometric radiographs, frontal clinical photos of pre-op and 8~12 month later post-op, and the facial 'phi' mask using golden ratio, were used for analysis. Reduction of the lower face area, occlusal plane changes, amounts of mandible setback and amounts of maxilla posterior impaction were estimated. Results: Lower facial reduction ratio and mandibular setback amounts were significantly different between 1-jaw and 2-jaw groups. Average postoperative changes in the area of lower face between bilateral sagittal split ramus osteotomy (BSSRO) and BSSRO combined maxilla posterior impaction were compared by using an independent simple t-test and $P$ value was 0.016. Therefore, the lower facial reduction ratio and mandibular setback amount were significantly different in maxilla posterior impaction. Conclusion: The two-jaw surgery group showed more reduction of the lower facial area than the 1-jaw surgery group. The amount of lower facial reduction was more related with the amount of mandibular setback. There was no significant relation in lower facial reduction with amount of maxilla posterior impaction, pre-op occlusal plane, post-op occlusal plane and the mandibular angle. A relationship between the change in the lower facial area and the amount of maxilla posterior impaction or the change of mandibular angle occlusal plane at pre-op could not be found because of the difference in the amount of setback between two groups.

Effects of astaxanthin on antioxidant capacity of golden pompano (Trachinotus ovatus) in vivo and in vitro

  • Xie, Jia-jun;Chen, Xu;Niu, Jin;Wang, Jun;Wang, Yun;Liu, Qiang-qiang
    • Fisheries and Aquatic Sciences
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    • v.20 no.4
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    • pp.6.1-6.8
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    • 2017
  • The objective of this research was to study the effect of astaxanthin (AST) on growth performance and antioxidant capacity in golden pompano (Trachinotus ovatus) both in vivo and in vitro. In the in vivo study, two diets were formulated with or without astaxanthin supplementation (D1 and D2; 0 and 200 mg/kg) to feed fish for 6 weeks. In the in vitro study, cells from hepatopancreas of golden pompano were isolated and four treatments with or without astaxanthin and $H_2O_2$ supplementation were applied (control group: without both astaxanthin and $H_2O_2$ treated; $H_2O_2$ group: just with $H_2O_2$ treated; $H_2O_2$ + AST group: with both astaxanthin and $H_2O_2$treated; AST group: just with AST treated). Results of the in vivo study showed that weight gain (WG) and special growth rate (SGR) significantly increased with astaxanthin supplemented (P < 0.05). Feed conversion ratio (FCR) of fish fed D2 diet was significantly lower than that of fish fed D1 diet (P < 0.05). Hepatic total antioxidant capacity (T-AOC) and the reduced glutathione (GSH) of golden pompano fed D2 diet were significant higher than those of fish fed D1 diet (P < 0.05). Superoxide dismutase (SOD) was significantly declined as astaxanthin was supplemented (P < 0.05). Results of the in vitro study showed that the cell viability of $H_2O_2$ group was 52.37% compared to the control group, and it was significantly elevated to 84.18% by astaxanthin supplementation ($H_2O_2$ + AST group) (P < 0.05). The total antioxidant capacity (T-AOC) and the reduced glutathione (GSH) of cell were significant decreased by oxidative stress from $H_2O_2$ (P < 0.05), but it could be raised by astaxanthin supplementation ($H_2O_2$ vs $H_2O_2$ + AST), and the malondialdehyde (MDA) was significant higher in $H_2O_2$ group (P < 0.05) and astaxanthin supplementation could alleviate the cells from lipid peroxidation injury. In conclusion, dietary astaxanthin supplementation can improve the growth performance of golden pompano. Moreover, astaxanthin can improve the golden pompano hepatic antioxidant capacity both in vivo and in vitro study by eliminating the reactive oxygen species.

Facial Analysis of Patients with Skeletal Malocclusion Using a Facial 'Phi' Mask (Facial 'Phi' Mask를 사용한 골격성 부정교합 환자의 안모 분석)

  • Kim, Hong-Seok;Heo, Young-Min;Hong, Jong-Rak;Kim, Chang-Soo;Paeng, Jun-Young
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.34 no.1
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    • pp.26-33
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    • 2012
  • Purpose: The golden ratio has been used for a long time to objectify and quantify 'beauty'. Dr. Marqurardt claims that the golden ratio can be applied in the maxillofacial field as well. The purpose of this study was to evaluate the diagnostic significance of using a facial 'phi' mask for analyzing Korean faces with characteristics of Class I, II, and III malocclusion. Methods: We studied twenty five Korean celebrities' frontal facial photos (10 males, 15 females) and 90 malocclusion patients' frontal facial photos (30 patients in each malocclusion classification: Class I, Class II, and Class III). Patients who received orthodontic treatment at Samsung Medical Center were selected for this study. After superimposition of the selected facial photo and facial 'phi' mask using Adobe Photoshop CS3, the ratio of the entire facial area, mid facial area, lower facial area and horizontal and vertical lengths were measured. Results: The facial ratio in photos of Korean faces showed larger vertical and horizontal ratios than the facial 'phi' mask with golden ratio, regardless of skeletal malocclusion (entire face: 115%, lower face: 125% larger than the mask). The results of the frontal photos of Class I, II, and III malocclusion patients using facial 'phi' mask showed that the vertical length and frontal face area was more significantly influenced by the area of the lower face than the midface. This means that the lower face has larger proportions in the facial areas. Conclusion: The ratio of facial 'phi' mask is matched with the ideal facial appearance that the contemporary Korean general public is seeking. Thus, the facial 'phi' mask may be a convenient tool for esthetic analysis of Korean faces. Reducing the area of the lower face is esthetically more desirable for almost all Korean people when planning orthognathic surgery.

Method Research For Contents Express Ratio Of Display To Improve Learning Effect Of Smart Phone education media contents (스마트폰 교육미디어콘텐츠의 학습효과 향상용 콘텐츠 표출 비율 제고 방안에 관한 연구)

  • Lee, Jaewoo;Cha, Jaesang;Choi, Seongjhin;Lee, Seonhee
    • Journal of Satellite, Information and Communications
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    • v.9 no.2
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    • pp.91-95
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    • 2014
  • We could use a social networking service such as data communication, personalized service through smart devices as Tablet computers and smart phones. Because of these characteristics, suitable lectures are provided to mobile device. especially, in Korea Cyber University already had built a lot of infrastructures. But, many mobile devices are used in a small display environment. it could effect on reduce Students' efficiency from taking courses. Therefore, we need effectively in a small display content layout for overcome these problems. In this paper, proposed the platform for Improve learning effect in smartphone education. It studied based on golden section and golden spiral theory. and also, we developed layout for content development using vector method illustration program.