###### Abstract
Our group [7] proposed a rupture potential index based on the wall pressure (RPIP) to estimate the vessel rupture. A double-parameter criterion comprising RPIP and temperature integral (\(\Omega\)) is also suggested to investigate the competition between the pressure damage (vessel rupture) and thermal damage (vasoconstriction) of the irradiated vessels. Our results show that the damage characteristics of the PDL and the infrared laser are fundamentally distinguished. In the PDL, vessels constantly reach the pressure threshold prior to the heat damage threshold, and the vessel undergoes rupture instead of complete constriction. With infrared laser, uniform energy is deposited in the vessel, thereby inducing much higher probability of constriction than hemorrhage. The superiority of PDL is revealed by verifying the rupture as a more severe damage type than the constriction because of the more drastic pressure variation at the vessel wall. In clinical settings, the complex structure of the PWS vasculature results in an unpredictable rupture position and bleeding volume, leading to erroneous diagnosis by physicians. A numerical study on real blood vessels, such as aorta and celiac artery, has shown that the stress on the vessel wall often reaches the extremum at the local saddle point [17]. This finding indicates that the bending degree of the vessel surface significantly affects the pressure distribution of the vascular wall. Bucking and tortuosity occur frequently in the patient-specific PWS vessel structure, thereby changing the blood hydrodynamics and seriously affecting the rupture [18]. Available skin models usually adopt ideal cylinders as pathological vessels, but they do not represent real clinical lesions. Heat deposition in individual vessels by light absorption in the blood can be significantly reduced by competition from a branched or surrounding vasculature, which is also not considered by a simplified geometric model [19]. Consequently, an anatomically realistic geometric model of the vasculature should be established to accurately simulate the force on vessel walls, and the curvature of these walls should be investigated to quantitatively characterize the relationship between vascular morphology and pressure damage. Before a theoretical study is conducted, a real vascular lesion should be geometrically reconstructed. Computer-reconstructed biopsy shows the detailed structure of vascular lesions, but it causes unnecessary injury to patients' skin [20]. Noninvasive skin imaging technologies, such as optical coherence tomography and laser speckle imaging, are reliable in distinguishing normal or diseased tissues on a large scale but have a low spatial resolution in 3D imaging of thin tissue layers, such as skin tissues [21]. As a type of in vivo imaging, a dorsal skin chamber (DSC) model [16; 22; 23; 24; 25; 26] is effective in investigating the thermal response of blood vessels. The geometric feature of blood vessels in the DSC model is nearly parallel, thereby allowing 3D reconstruction from 2D blood vessel images to reveal the mechanism of real vascular injuries, especially vascular rupture and hemorrhage. [PERSON] et al. [27] performed a preliminary 3D reconstruction of real blood vessels from the image processing of a DSC model through microscopic observation. However, a vessel rupture based on vessel wall curvature is not considered, leading to an unclear relationship between the bleeding area of blood vessels (purpura) and the parameters of lasers. In the present study, a curvature-corrected pressure damage (CCPD) model was proposed to accurately predict the rupture of a real radiant vessel through 3D vascular reconstruction and establish the relationship between purpura-bleeding area (rate) and laser therapy strategy. The model was validated by comparing its results with the experimental results of blood vessels in the DSC model with different curvatures.