A new perspective: Quantitative description of the Cupid's peak aesthetics essence

Abstract

<p>Objectives: The Cupid's peak triangle theory was established to reveal the aesthetics essence of the Cupid's peak through golden ratio deviation to provide quantitative theoretical basis for lip plastic and cosmetic surgery. Materials and methods: Model the Cupid's peak line on the lip bow ridge and construct expressions for Cupid's peak parameters and their associated triangle theory using the angle circle (AC) and radius circle (RC) of the Cupid's peak line. Calculate and establish functional relationships for Cupid's peak parameters and the concept of the Cupid's peak index (CPI) golden ratio deviation (GRD). Results: In the Cupid's peak triangle theory, important parameters describing Cupid's peak morphology include Cupid's peak angle (ACp), arc (RCp), the smooth connection point (SI) of the Cupid's peak arc and line, and the CPI. The parameters are interrelated in their functional relationships. ACp determines RCp, the SI point determines the proportion of the Cupid's peak arc to the line, and CPI determines GRD. Cupid's peak parameter ranges in the normal population are as follows: ACp is 109°−160°, RCp is 1.24–0.35 rad, CPI is 0.614–0.508, and GRD is 0.62%−17.85%. Conclusions: The Cupid's peak triangle theory reveals the functional relationship between the Cupid's peak parameters and quantifies the aesthetics essence of lip shape. Clinical relevance: The morphology of the Cupid's peak serves as a tangible manifestation of lip shape aesthetics. This study aims to elucidate the aesthetic essence and general principles of Cupid's peak morphology, offering a quantitative theoretical foundation for lip plastic and cosmetic surgery.</p>