Constructing a Mathematical Model of Product Color Design Based on Data Mining: Case Study of a Thermos Cup

In product design, color is the first element that acts on the human visual senses and significantly influences consumer decisions. This study aimed to analyze consumers’ color preferences for products and explore the mathematical patterns of product color design. Firstly, sales data and images of popular thermos cups from Tmall and Jingdong (JD), two prominent e-commerce platforms in China, were obtained through data mining. Subsequently, this research focused on single-color thermos cups with high sales as the research subject, extracting the hue (H), saturation (S), and value (V) for each cup from the product images. Furthermore, a 3D scatter plot of HSV values was generated using Origin Pro, visually representing the consumers’ color preferences. Finally, this study examined the relationships among HSV values of the popular product colors through multiple regression analysis and constructed a mathematical model for HSV. This method enables manufacturers to gain valuable insights into consumer color preferences, facilitating digital color design and enhancing design efficiency and accuracy.