3D shape reconstruction of medical images using a perspective shape-from-shading method

作者：Yang Lei^*; Han Jiu qiang

来源：Measurement Science and Technology, 2008, 19(6): 065502.

DOI：10.1088/0957-0233/19/6/065502

• shape-from-shading
• 3D measurement
• perspective projection
• viscosity solution of static Hamilton-Jacobi equation
• fast sweeping method
• medical images

A 3D shape reconstruction approach for medical images using a shape-from-shading (SFS) method was proposed in this paper. A new reflectance map equation of medical images was analyzed with the assumption that the Lambertian reflectance surface was irradiated by a point light source located at the light center and the image was formed under perspective projection. The corresponding static Hamilton-Jacobi (H-J) equation of the reflectance map equation was established. So the shape-from-shading problem turned into solving the viscosity solution of the static H-J equation. Then with the conception of a viscosity vanishing approximation, the Lax-Friedrichs fast sweeping numerical method was used to compute the viscosity solution of the H-J equation and a new iterative SFS algorithm was gained. Finally, experiments on both synthetic images and real medical images were performed to illustrate the efficiency of the proposed SFS method.

• 出版日期2008-6
• 单位西安交通大学