3D+t Modeling of Coronary Artery Tree from Standard Non Simultaneous Angiograms

Abstract

International audienceX-ray angiography provides two-dimensional projections of opacified arteries. Utilizing temporally synchronized projections, from different angles, a 3D model can be reconstructed. Biplane angiography [1] systems can provide two simultaneous acquisitions, but are not as widely available as single-view systems. Using the latter systems, the different projections are acquired sequentially. During the time required to change the position of the imaging system, patient motion or breathing motion may be introduced. We propose a method to construct a 3D+t model of the coronary tree from non-simultaneous sequences, synchronized with the electrocardiogram and acquired on single-view angiography systems

Reconstruction of coronary arteries from X-ray angiography: A review

“…Correspondences are established between the centrelines from different views using epipolar geometry, and 3D points representing the coronary artery tree are reconstructed using the triangulation method (Hartley and Zisserman, 2004) from the computer vision (Figure 7a). Two-dimensional feature matching based modelling methods are designed to work with the non-calibrated systems (Hoffmann et al, 2000;Carroll, 2000, 2003;Mourgues et al, 2001;Blondel et al, 2006;Fallavollita and Cheriet, 2008;Yang et al, 2009), although exceptions exist (Cardenes et al, 2012;Movassaghi et al, 2004). This is because the estimation of geometry parameters that relate the projection images used for reconstruction can be easily integrated into the method.…”

“…Another popular way is to estimate geometry parameters jointly with the reconstruction. In this strategy, estimation of the geometry parameters and reconstruction, and the establishment of the correspondences are iteratively performed until a convergence criteria is met (Mourgues et al, 2001;Blondel et al, 2006;Fallavollita and Cheriet, 2008;Yang et al, 2009). These methods are advantageous because they are robust against outliers and provide a mechanism to estimate the intrinsic parameters as well.…”

“…used a method similar to dynamic time warping (DTW) (Sakoe and Chiba, 1978) to find the correspondences. Dynamic programming can also be used to put soft epipolar constraints (Mourgues et al, 2001;Blondel et al, 2006). Soft epipolar constraints allow for a point in the first view to match a point in the second view that is not strictly on the epipolar line but around it.…”

A constraint‐stabilized time‐stepping approach for rigid multibody dynamics with joints, contact and friction

“…An example of these advances In the medical industry is robotic surgery, which is instrumental for some minimally invasive surgery techniques [1] or the 3D modeling of the coronary artery for angiograms [39]. It would seem logical that not only would the detection of contact be important, but the calculation of the depth of any penetration be vital as well.…”

Automatic trinocular 3D reconstruction of coronary artery centerlines from rotational X-ray angiography

“…For a given point, the intensity encodes the likelihood of belonging to a rectilinear structure and the direction encodes a tangent vector to this rectilinear structure. After iterating at each scale, we compile a multiscale analysis that summarizes, for each image point, the scale that corresponds to the largest response, and the corresponding response value and tangent angle ( [7]). We store these values as scale, response, and tangent maps.…”