Hybrid Simplified Spherical Harmonics with Diffusion Equation for X-Ray Luminescence Computed Tomography

• Published in: Image and Graphics Vol. 11902; pp. 568 - 580
• Main Authors: Zhao, Hengna, Fan, Jingxiao, Guo, Hongbo, Hou, Yuqing, He, Xiaowei
• Format: Book Chapter
• Language: English
• Published: Switzerland Springer International Publishing AG 2019; Springer International Publishing
• Series: Lecture Notes in Computer Science
• Subjects: Diffusion equation; Hybrid optical transmission model; Simplified spherical harmonic; X-ray luminescence computed tomography
• ISBN: 3030341097; 9783030341091
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/978-3-030-34110-7_48

X-ray luminescence computed tomography (XLCT) combines the high sensitivity of optical imaging with the high spatial resolution of X-ray imaging, and has a more extensive application prospect. An efficient and accurate optical transmission model is very important for XLCT. In optical molecular imaging, the light transmission models we often use are diffusion equation (DE) and simplified spherical harmonic (SPN). DE has high efficiency but relatively low accuracy, while SPN has high accuracy but low efficiency. Therefore, the hybrid simplified spherical harmonics with diffusion equation (HSDE) model is proposed. By coupling the DE and SPN with boundary conditions, the HSDE obtained has both high accuracy and high efficiency. First, each tissue is simulated to determine the best model for it. Then the accuracy and the efficiency of HSDE are verified by forward simulation and inverse simulation for the whole digital mouse model. The results show that the accuracy of HSDE is better than SPN and the efficiency is higher than DE.