## 1 Introduction  
Pressure-sensitive paint (PSP) pressure measurement technology is a non-contact full-field pressure measurement method based on image processing. It can provide continuous pressure measurement data, and has the advantages of high spatial resolution, low cost, short experimental preparation time, and small flow field interference. When laser or UV LED is used as an excitation light source, an oxygen quenching reaction occurs between luminescent molecules and oxygen in the paint. The changes in fluorescence intensity of the model surface paint are converted into a pseudo-color image by CCD camera. Finally, the surface pressure distribution was obtained by computer graphics processing [1]. At present, PSP technology tends to be mature and has been applied in numerous wind tunnel pressure tests [2, 3, 4, 5, 6]. In harsh experimental environments, such as helicopter rotor pressure tests, the image is prone to blur, and the paint may flake off due to high-speed rotor rotation and surface temperature increase. Although algorithms such as deblurring, temperature correction, and filtering can be used to correct the surface pressure distribution results [7], it greatly increases the processing time of test data and reduces the accuracy of results. Fast response PSP is a PSP that reduces response time from milliseconds to hundreds of microseconds. The emergence of fast response PSP effectively solves the problem in the helicopter rotor pressure test [8]. The ideal PSP has high pressure sensitivity,low temperature sensitivity, and low response time. Currently, no PSP can achieve high pressure sensitivity, low temperature sensitivity, and low response time at the same time. The factors affecting the characterization of PSP need to be further studied. The main way to study PSP characterization is to change one of the influencing factors, such as using a different probe or binder during the spraying process, changing the ratio of certain materials, or changing the thickness of the paint. Then, calibrate the characterizations through calibration experiments, and analyze the relationship between the influencing factors and characterizations through phenomenological modeling or statistical modeling. For a given performance range, such as the pressure sensitivity of a given range, we can use the relationship between the characterizations of the paint and the influencing factors to analyze the required parameters of the paint under the target characterization, such as luminous probe concentration, paint thickness, and so on. The rapid prediction of PSP characterizations can provide guidance for studying the relationship between potential influencing factors and characterizations. As early as 2004, [PERSON], [PERSON] et al. found that the response time of PC-PSP was affected by the thickness of the adhesive and the oxygen diffusion rate [9]. In 2018, [PERSON], [PERSON] et al. established first-order models of fast PSP coating response time, oxygen diffusion of porous polymer layer, and the reaction of oxygen with luminescent molecules [10]. The research of [PERSON], [PERSON] and [PERSON] et al. in 2021 shows that the paint characterizations are not only related to the chemical properties and ratio of substrate materials [11; 12], but also the physical properties such as paint thickness and roughness in the spraying process, which affect the characterization of pressure-sensitive paint. When the paint thickness is greater than 8 \(\upmu\)m, the problem of uneven luminous life of the fast PSP paint can be improved [13]. Many studies have shown that its characterization is affected by various chemical and physical factors. These studies show that physical factors such as thickness appear to be an extremely important factor. In calibration experiments, we found that different paint thicknesses and roughness lead to significant differences in the pressure sensitivity of a fast-response PSP.