Innovative Design of Product Modeling Based on Computational Geometry and Multimedia Technology

With the continuous breakthroughs in technology and the deepening of globalization, product design has evolved from a simple combination of art and handicrafts to a comprehensive innovation process that integrates interdisciplinary knowledge such as computer science, mathematics, and physics. Under the theoretical framework of computational geometry, product design can break free from the constraints of traditional manual drawing and model making and stride towards a new era of digitization, parameterization, and automation. This article aims to explore a revolutionary product styling innovation design method that deeply integrates the accuracy of computational geometry, the expressive power of multimedia technology, and the powerful optimization ability of interactive genetic algorithms (IGA). We compared the performance of traditional methods and IGA methods in multiple key dimensions such as design innovation, user satisfaction, modelling accuracy, and computational efficiency. The results show that the IGA method significantly surpasses traditional methods in terms of design innovation and user satisfaction, demonstrating higher modelling accuracy. Although slightly inferior in computational efficiency, considering its significant improvement in design quality and user experience, this method undoubtedly has broad application prospects. © 2024 U-turn Press LLC.