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In the continuous application and development of network technology, the reform in Internet information will inevitably bring about major changes in college education and teaching. Based on this background, the paper puts forward the influence of ‘Internet+’ on art design education. At the same time, the article explores the influence factors of the Internet on art design teaching based on the non-linear equation model. We use the parameterised cubic clipping algorithm to find the roots of non-polynomial equations. Through performance analysis and comparison, it is found that the root-finding algorithm proposed by us has better parallelism and lower-storage requirements. This algorithm has certain advantages in solving the weight of the factors that influence the Internet to art design teaching.

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The development of rural tourism has become an important measure and approach to realize the strategy of rural rejuvenation, and it is also a new way to realize the modernization of agriculture and rural areas. China has made remarkable achievements in the development of rural tourism industry against the background of the construction of beautiful countryside. There are also typical models of rural tourism models such as Zhejiang beautiful rural model, southern Jiangsu model, Beijing suburban model, Chengdu model and so on, which have emerged all over the country. However, the traditional tourism and leisure mode of rural tourism also highlights such outstanding problems as the damage of rural ecological culture, the single product structure, the insufficient development of industrial chain integration, excessive commercialization, and the backward management and operation mode, and so on. It does not match the demand of the new tourism market, which is scattered, personalized, self-help and diversified against the background of the Internet plus, and restricts the healthy and sustainable development of rural tourism.

This paper proposes a network video transmission system for indoor art display systems and visual video monitoring. Due to the problems of high mean square error, poor signal capture performance, and long timing jitter in current optical transmission signals, this paper proposes a low-rate narrowband IoT long-distance communication synchronization capture algorithm and optimizes the algorithm. The algorithm improves the visual center processing algorithm with high computational complexity into a simple look-up table calculation. This can simplify the calculation process and improve the system’s operating speed. Finally, the paper implements a video communication indoor art display system with compatible multiple network interfaces based on high-speed multimedia DSP.