3D Vessel Tree Reconstruction from Rotational C-arm Projections by Multi-view Stereo Reconstruction
In biplane angiography, a three-dimensional (3D) vessel tree can be reconstructed from two-view stereo reconstruction. During an intervention procedure, the rotational C-arm scanning produces a sequence of cone-beam projections (angiograms) that can be us
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Northeastern University, Sino-Dutch Biomedical and Information Engineering, Shenyang, 110004, China 2 Northeastern University, Department of Mathematics, Shenyang, 110004, China
Abstract — In biplane angiography, a three-dimensional (3D) vessel tree can be reconstructed from two-view stereo reconstruction. During an intervention procedure, the rotational C-arm scanning produces a sequence of cone-beam projections (angiograms) that can be used for vessel tracking and vessel tree reconstruction. Since any two projection images can be considered as a two-view pair as captured by a biplane system, a 3D vessel tree can be reconstructed by searching the corresponding points in two projection images followed by two-view stereo reconstruction. The geometry of the 3D tree can be measured in the calibrated Euclidean space. During C-arm angiographic imaging, the contrast bolus flowing through blood vessels may sustain a bolus/blood equilibrium state in the scan field of view, which can be considered as quasi-static or stationary state, the C-arm images can be used for vessel tree reconstruction. In this paper, we propose a vessel tree reconstruction method from C-arm images: 1) add epipolar constraint on the search for corresponding points (feature points); 2) apply depth-first search strategy for tree construction from node points and point correspondence; 3) find fundamental and projection matrices for projective reconstruction; 4) reconstruct the 3D tree in Euclidean space with a cube phantom calibration; 5) perform 3D tree measurements (tree segment lengths). Computer simulations and tree phantom experiments under a rotational C-arm system are reported, which justify the method in this paper. Keywords—Rotational C-arm system, Stereo reconstruction, Point correspondence, Projection reconstruction, Euclidean reconstruction
I. INTRODUCTION In biplane angiography, a 3D vessel tree can be reconstructed from two-view simultaneous projections by stereo vision reconstruction. The rotational C-arm scanning produces a sequence of cone-beam projections as distinguished by view angles. During C-arm angiographic imaging, the contrast bolus flowing through blood vessels may sustain a bolus/ blood equilibrium state in the scan field of view, which can be considered as quasi-static or stationary state, the C-arm images can be used for vessel tree reconstruction. By rearranging the cone-beam projections into numerous two-view pairs or multi-view subgroups, we can reconstruction the 3D tree-like object by searching the corresponding points in two projection
images followed by two-view stereo reconstruction. Thus the rotational C-arm projections can be used as a biplane system for vessel tree reconstruction. Two perspective images of a single rigid object/scene are related by the so-called epipolar geometry-the intrinsic projective geometry between two views, which can be described by a 3×3 matrix of rank 2, called fundamental matrix. It is independent of scene structure, and only depends on the cameras’ internal parameters and relativ
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