## 5 Discussion and Conclusions
In terms of the second issue, we summarized the experiment data corresponding to the two types of relationships between final similarity choice and FTCs between the different ROIs; results are shown in Table 4. A total of 88.2%(15/17) of subjects in Scene 1, 75.0% (9/12) of subjects in Scene 2, 87.5% (21/24) of subjects in Scene 3, and 76.5% (13/17) of subjects in Scene 4 transferred more frequently between Textures A and S than between Textures B and S; these subjects believed that Texture A was more similar to Texture S. Meanwhile, a total of 61.5% (8/13) of subjects in Scene 1, 72.2% (13/18) of subjects in Scene 2, 83.3% (5/6) of subjects in Scene 3, and 61.5% (8/13) of subjects in Scene 4 transferred more frequently between Textures B and S than between Textures A and S; these subjects regarded Texture B as more similar to Texture S. Furthermore, we conducted a paired t-test to evaluate differences in FTCs_S,A and FTCs_S,B in the similarity choice between Textures A and B for the four scenes. On the basis of paired t-test results, we concluded that the final similarity choice was closely related to the FTCs of different textures viewed in the tests. This was in accordance with previous research that transitions between different fixations are related to the search behavior and expectations of the observers [44]. In conclusion, we investigated whether global and local features influence eye-movement patterns in texture-similarity perception. When the texture was globally similar to the texture being compared, the fixation points in the texture were highly dispersed. By contrast, when the texture was locally similar to the texture being compared, the fixation points in the texture were highly concentrated. Furthermore, the domination of global and local features influences viewers' similarity choice. The final visual-similarity selection was related to FTCs between different ROIs, but not related to the TFD in each ROI. This research contributes to analyzing the pattern of texture recognition using an eye-tracker and extends a new application of the mathematical morphology-based texture model to human visual perception. The texture stimuli utilized in the experiment were limited. In our future work, we aim to synthesize different types of textures for experimental research. We will further analyze other metrics of eye-movements to investigate the relationship between similarity perception and global/local processing. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Relationships** & **Scene 1** & **Scene 2** & **Scene 3** & **Scene 4** \\ \hline I & 15/17 & 9/12 & 21/24 & 13/17 \\ II & 8/13 & 13/18 & 5/6 & 8/13 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: FTCs in different ROIs of four tests and final similarity selection. **Author Contributions:** Conceptualization, X.G. and L.L. ; methodology, X.G. and L.L. ; software, X.G. ; validation, X.G., L.L., and A.A.; formal analysis, C.M.A. ; investigation, X.G. ; resources, L.L. ; data curation, L.L. ; writing, original draft preparation, X.G. ; writing, review and editing, X.G. and L.L. ; visualization, X.G. ; supervision, A.A.; project administration, X.G. ; funding acquisition, X.G. All authors have read and agreed to the published version of the manuscript. **Funding:** This project was funded by the National Natural Science Foundation of China (Grant No. 61603228), the Shanxi Province Science Foundation for Youths (Grant No. 201901D211171), the Research Project Supported by Shanxi Scholarship Council of China (Grant No. HGKY2019001), and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2020L0036). **Acknowledgments:** The authors thank the experiment participants. **Conflicts of Interest:** The authors declare no potential conflict of interest with respect to the research, authorship, and publication of this article.