Shape recovery and volume calculation from biplane angiography in the stereotactic radiosurgical treatment of arteriovenous malformations.

PURPOSE A model for calculating the three-dimensional volume of arteriovenous malformations from biplane angiography. METHODS AND MATERIAL Three-dimensional (3D) volume reconstruction is easily feasible with axial, coronal, or sagittal computer tomography (CT) and nuclear magnetic resonance (NMR) scans. On the other hand, radiosurgical treatment of arteriovenous malformations (AVM) is exclusively based on two orthogonal stereotactic projections, obtained with angiographic procedures. Most commonly, AVM volumes have been calculated by assimilating the nidus volume to a prolate ellipsoid. We present an algorithm dedicated to 3D structure reconstruction starting from two orthogonal stereotactic projections. This has been achieved using a heuristic approach, which has been widely adopted in the artificial intelligence domain. RESULTS Tests on phantom of different complexity have shown excellent results. CONCLUSION The importance of the algorithm is considerable. As a matter of fact: (a) it allows calculations of complex structures far away from regular ellipsoid; (b) it permits shape recovery; (c) it provides AVM visualization on axial planes.

[1]  Kent A. Stevens,et al.  The Visual Interpretation of Surface Contours , 1981, Artif. Intell..

[2]  Y Sun,et al.  Automated identification of vessel contours in coronary arteriograms by an adaptive tracking algorithm. , 1989, IEEE transactions on medical imaging.

[3]  Minoru Asada,et al.  Determining Cylindrical Shape from Contour and Shading , 1987, IJCAI.

[4]  L. Leksell.  The stereotaxic method and radiosurgery of the brain. , 1951, Acta chirurgica Scandinavica.

[5]  L. Steiner.  Radiosurgery : baseline and trends , 1992 .

[6]  Wei-I Hsu,et al.  An algorithm for the general solution of hidden line removal for intersecting solids , 1991, Comput. Graph..

[7]  Susumu Fukasawa.  A Solution to the Hidden-Line Problem , 1971 .

[8]  William E. Higgins,et al.  Shape-based interpolation of tree-like structures in three-dimensional images , 1993, IEEE Trans. Medical Imaging.

[9]  Greg Turk,et al.  Re-tiling polygonal surfaces , 1992, SIGGRAPH.

[10]  Shi-Kuo Chang,et al.  The Reconstruction of Three-Dimensional Objects from Two Orthogonal Projections and its Application to Cardiac Cineangiography , 1973, IEEE Transactions on Computers.

[11]  R A Robb,et al.  Interactive display and analysis of 3-D medical images. , 1989, IEEE transactions on medical imaging.

[12]  B Larsson,et al.  Irradiation of small structures through the intact skull. , 1974, Acta radiologica: therapy, physics, biology.

[13]  Dana H. Ballard,et al.  Generalizing the Hough transform to detect arbitrary shapes , 1981, Pattern Recognit..

[14]  Alf D. Linney,et al.  Registration of 3-D head surfaces using multiple landmarks , 1993, IEEE Trans. Medical Imaging.

[15]  Dana H. Ballard,et al.  Computer Vision , 1982 .

[16]  J. Malik,et al.  Recovering Three Dimensional Shape from a Single Image of Curved Objects , 1987, IJCAI.

[17]  H. C. Longuet-Higgins,et al.  A computer algorithm for reconstructing a scene from two projections , 1981, Nature.

[18]  Yang Wang,et al.  Three-dimensional object reconstruction from orthogonal projections , 1975, Pattern Recognit..

[19]  F J Bova,et al.  Stereotactic angiography: an inadequate database for radiosurgery? , 1991, International journal of radiation oncology, biology, physics.

[20]  J. Flickinger,et al.  An integrated logistic formula for prediction of complications from radiosurgery. , 1989, International journal of radiation oncology, biology, physics.

[21]  D. Enzmann,et al.  Intracranial vascular malformations: imaging of charged-particle radiosurgery. Part II. Complications. , 1988, Radiology.

[22]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[23]  L. Leksell,et al.  Cerebral radiosurgery. I. Gammathalanotomy in two cases of intractable pain. , 1968, Acta chirurgica Scandinavica.

[24]  Jack Sklansky,et al.  Reconstructing the cross sections of coronary arteries from biplane angiograms , 1992, IEEE Trans. Medical Imaging.

[25]  Gang Xu,et al.  Recovering Surface Shape from Boundary , 1987, IJCAI.

[26]  Carlo H. Séquin,et al.  Functional optimization for fair surface design , 1992, SIGGRAPH.

[27]  Weixue Lu,et al.  Correspondence analysis for regional tracking in coronary arteriograms , 1992, IEEE Trans. Medical Imaging.

[28]  Robert B. Fisher.  Model Invocation for Three Dimensional Scene Understanding , 1987, IJCAI.

[29]  William A. Friedman,et al.  Limitations of angiographic target localization in planning radiosurgical treatment. , 1992, Neurosurgery.

[30]  Van-Duc Nguyen,et al.  Exploiting 2D Topology in Labeling Polyhedral Images , 1987, IJCAI.

[31]  J. Flickinger,et al.  Radiosurgery and the double logistic product formula. , 1990, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[32]  F. Ulupinar,et al.  Inferring shape from contour for curved surfaces , 1990, [1990] Proceedings. 10th International Conference on Pattern Recognition.

[33]  Ramakant Nevatia,et al.  Using Perceptual Organization to Extract 3-D Structures , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[34]  R. Scienza,et al.  The relevance of anatomic and hemodynamic factors to a classification of cerebral arteriovenous malformations. , 1991, Neurosurgery.

[35]  Yiannis Aloimonos.  Combining Sources of Information in Vision I. Computing Shape from Shading and Motion , 1987, IJCAI.

[36]  Russell M. Mersereau,et al.  Automatic detection of brain contours in MRI data sets. , 1993, IEEE transactions on medical imaging.

[37]  J. Sklansky,et al.  Estimating the 3D skeletons and transverse areas of coronary arteries from biplane angiograms. , 1988, IEEE transactions on medical imaging.

[38]  Roger Y. Tsai.  Multiframe Image Point Matching and 3-D Surface Reconstruction , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.