Surface Reconstruction of Blood Vessel from 2D Cross-Sections with Recurrence Images

Surface reconstruction of 3D objects from 2D cross-sections has wide applications in surface modeling and biomedical image analysis. This paper considers the problem through a new recurrence images method based on the recurrence curves. According to the properties of basis functions of recurrence curves, some important properties of recurrence images are proposed. Giving the feature matrix that represents curves on planar cross-sections and the variation of parameters in the new algorithm, the desired contours will be obtained and then the 3D surface can be constructed. 3D surface of the blood vessel is reconstructed to demonstrate the effectiveness of the proposed method.