The work aims to establish the mathematical relationship between user’s demands and form design elements by computer graphics design and logical operation method, so as to make more scientific design and evaluation about the programmable paper cutting machine and enhance the design process more rigorous. User’s perceptual image evaluation was summarized by semantic difference method and factor analysis method, integral design elements of programmable paper cutting machine were deconstructed by morphological analysis method, and perceptual evaluation matrix was established to train BP neural network. The network correctly mapped the relationship between the perceptual image and design elements after test. The maximum and minimum values of perceptual evaluation about high-end and low-end were obtained through the simulated prediction by the network model, and the corresponding combination of design elements provided rational support for the design of high-end style programmable paper cutting machine. The user’s ambiguous emotion is transmuted into quantitative data, which makes up for the deficiency of comparing and evaluating design schemes based on the designer’s subjective experience in the original design process and provides the scientific design method for integral form design of large-scale mechanical and electrical products.