Interventional surgery is one of the primary methods for treating cardiovascular diseases. Current procedures mainly rely on 2D fluoroscopic images to guide surgeons, which cannot achieve three-dimensional visualization of interventional catheters during surgery, limiting surgical efficiency and safety. This paper addresses the clinical need for precise treatment in cardiovascular interventional surgery by proposing a method for reconstructing the spatial shape of interventional catheters based on the U-Net and epipolar geometry. First, the U-Net network is used to segment the catheter′s contours from biplane fluoroscopic images, and the catheter′s centerline is extracted using a skeletonization algorithm. Then, a stereo vision matching method based on epipolar geometry constraints is developed, where in the intersections of the epipolar lines and the catheter centerline are solved to determine the corresponding points in the biplane projections. By combining the projection model with the catheter centerline to construct spatial rays, the problem of spatial curve reconstruction is converted into a ray intersection problem, enabling accurate reconstruction of the catheter′s three-dimensional spatial shape. Finally, to verify the feasibility of the proposed catheter spatial shape reconstruction algorithm, experiments were conducted using biplane fluoroscopic images to reconstruct the catheter. The results showed that the maximum shape reconstruction error of the catheter was less than 1. 55 mm, the mean square error was less than 0. 89 mm, and the Hausdorff distance was less than 1. 49 mm. This indicates that the proposed method can achieve accurate reconstruction of the three-dimensional shape of interventional catheters, providing a new method and technical foundation for improving the precise navigation and safe manipulation of flexible guidewires in vascular interventional surgery