Research on Mathematical Analysis of Lip Makeup Design

The purpose of this study is to establish standardization of measurement methods and weights and measures for lip makeup shape analysis. The research method is based on the average horizontal length of the lips, 5.4 cm. When the lip mountain is point A and the corner of the mouth is point T, the curvature of the lip line is calculated by dividing the shortest distance |BM| from the center point to the straight line AT into the length of the line segment AT. It is a value divided by. The subjects of the study were visual and perceptual out-curve, in-curve, and straight lip makeup images among frontal photos shown on Pinterest. As a result of calculating the curvature in each lip makeup, the length was obtained by making a straight line from the lip peak to the corner of the mouth, and based on this, the curvature of the lips could be obtained. The closer the lip curvature value was to 0, the closer it was to a straight line, the larger the lip curvature value, the thicker the lips were, and the smaller the lip curvature value, the more rhythmic lips. Therefore, it can be empirically confirmed that lip curvature is a mathematical item that indicates the degree of curvature of the lip line, so it is considered an appropriate term to indicate the degree of curvature of the lips. In particular, this paper was able to apply it to identifying the curves of the lip lines shown in photos of five cosmetic models. These research results are based on numerical values such as metrological notation rather than aesthetic speculation in the trend analysis of lip makeup trends and image analysis by shape. It is believed that standardization of specific terminology can be used to present accurate evidence.

Authors

Publication Details

Journal
Journal of the Korean Society of Cosmetology
Published
2025-02-28
DOI
https://doi.org/10.52660/jksc.2025.31.1.11
Primary Topic
Color perception and design
Type
article
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article

Research on Mathematical Analysis of Lip Makeup Design

Jeong-Shin Park
Journal of the Korean Society of Cosmetology
Color perception and design
article

Research on Mathematical Analysis of Lip Makeup Design

Jeong-Shin Park
article en

Abstract

The purpose of this study is to establish standardization of measurement methods and weights and measures for lip makeup shape analysis. The research method is based on the average horizontal length of the lips, 5.4 cm. When the lip mountain is point A and the corner of the mouth is point T, the curvature of the lip line is calculated by dividing the shortest distance |BM| from the center point to the straight line AT into the length of the line segment AT. It is a value divided by. The subjects of the study were visual and perceptual out-curve, in-curve, and straight lip makeup images among frontal photos shown on Pinterest. As a result of calculating the curvature in each lip makeup, the length was obtained by making a straight line from the lip peak to the corner of the mouth, and based on this, the curvature of the lips could be obtained. The closer the lip curvature value was to 0, the closer it was to a straight line, the larger the lip curvature value, the thicker the lips were, and the smaller the lip curvature value, the more rhythmic lips. Therefore, it can be empirically confirmed that lip curvature is a mathematical item that indicates the degree of curvature of the lip line, so it is considered an appropriate term to indicate the degree of curvature of the lips. In particular, this paper was able to apply it to identifying the curves of the lip lines shown in photos of five cosmetic models. These research results are based on numerical values such as metrological notation rather than aesthetic speculation in the trend analysis of lip makeup trends and image analysis by shape. It is believed that standardization of specific terminology can be used to present accurate evidence.

Journal of the Korean Society of CosmetologyVol. 31(1)
Openalex Percentile: Top 96%
Color perception and design
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Research on Mathematical Analysis of Lip Makeup Design — Jeong-Shin Park · Journal of the Korean Society of Cosmetology (2025) | TGRS Research Map | TGRS