This paper first investigates cognitive psychology and art design, divides cognitive memory into sensory memory, short-term memory and long-term memory according to cognitive psychology, and investigates art design's needs, psychology and creative thinking ability. Then, an art design is proposed that uses image processing technology. The first step in designing an art design using image processing technology is to use an image processing algorithm. Based on the image luminance equalization processing in art design, image fusion and wavelet noise reduction processing are carried out, and ANOVA cognitive psychology and art design experimental data are used to realize art design human-computer interaction. The results show that the analysis of the model with artistic design creative thinking variability as the dependent variable found that the R2 of the model was 0.036, and the adjusted R2 was 0.023. F=2.633, p=0.015, and the grade level had a significant effect on artistic design creative thinking variability. This study is a comprehensive and thorough cognitive psychology and art and design relationship that can contribute to development.