The article begins by exploring the emotional design of brands in various categories and proposes a mathematical morphological visual perceptual machine model to implement emotional design. The model constructs a mathematical model capable of capturing and expressing emotional features through numerical sets. Point sets and images, and basic operations in image algebra. Finally, the influence of the applicable fields of brand digital art design, personal emotional needs, and personal experience needs on brand choice is analyzed. The entertainment industry and the Internet industry account for the largest share, each accounting for 30% and 29%, respectively. The influence of personal emotion on choosing a brand is more than 0.8, and the influence of personal experience on choosing a product is more than 0.6. The research results of this paper have certain practical and theoretical significance for the development of brand digital art design.