Imaging systems and methods estimate poses of a fluoroscopic imaging device, which may be used to reconstruct 3D volumetric data of a target area, based on a sequence of fluoroscopic images of a medical device or points, e.g., radiopaque markers, on the medical device captured by performing a fluoroscopic sweep. The systems and methods may identify and track the points along a length of the medical device appearing in the captured fluoroscopic images. The 3D coordinates of the points may be obtained, for example, from electromagnetic sensors or by performing a structure from motion method on the captured fluoroscopic images. In other aspects, a 3D shape of the catheter is determined, then the angle at which the 3D catheter projects onto the 2D catheter in each captured fluoroscopic image is found.