Abstract: Abstract: The present study focuses on the key issue of how to add the cultural elements into the process of pattern generation, making the generation of patterns capable of inheriting certain cultural connotations. Taking the scroll pattern as the research object, which is representative of plant decoration pattern, the paper firstly proposes the concept of pattern culture gene, and then, a representative curve branch of a scroll pattern is used as its pattern culture gene. Considering the balance factor, the Runge-Kutta method is used as a generation rule to simulate the movement of particles in the vector field. The initial set of primitives is used by the generation rule to generate the scroll pattern. At the same time, the curve ID and the area ID are set to prevent the intersection or demarcation between different branches. Finally, the Runge-Kutta method is applied to redesign carpets, buildings, porcelain and paper cutting etc., for a better achievement of innovative applications and cultural inheritances.

Key words: Keywords: pattern cultural gene, decoration pattern, generation algorithm