Image-based mesh generation of tubular geometries under circular motion in refractive environments

This paper presents an image-based method aimed at generating a mesh of high-order finite elements on a tubular structure. The method assumes that the object is immersed in a liquid with known refractive coefficients and the images are recorded by moving the camera on a circular path around the object. Both the refractive effects and the camera motion are taken into account by a modified bundle adjustment formulation, which allows for an accurate reconstruction even in the presence of the optical interface. A parametric surface is fitted onto the resulting point cloud by an iterative surface fitting algorithm. Finally, the resulting surface is discretized into a mesh of high-order hexahedral elements.