CURVES: Curve evolution for vessel segmentation

The vasculature is of utmost importance in neurosurgery. Direct visualization of images acquired with current imaging modalities, however, cannot provide a spatial representation of small vessels. These vessels, and their branches which show considerable variations, are most important in planning and performing neurosurgical procedures. In planning they provide information on where the lesion draws its blood supply and where it drains. During surgery the vessels serve as landmarks and guidelines to the lesion. The more minute the information is, the more precise the navigation and localization of computer guided procedures. Beyond neurosurgery and neurological study, vascular information is also crucial in cardiovascular surgery, diagnosis, and research. This paper addresses the problem of automatic segmentation of complicated curvilinear structures in three-dimensional imagery, with the primary application of segmenting vasculature in magnetic resonance angiography (MRA) images. The method presented is based on recent curve and surface evolution work in the computer vision community which models the object boundary as a manifold that evolves iteratively to minimize an energy criterion. This energy criterion is based both on intensity values in the image and on local smoothness properties of the object boundary, which is the vessel wall in this application. In particular, the method handles curves evolving in 3D, in contrast with previous work that has dealt with curves in 2D and surfaces in 3D. Results are presented on cerebral and aortic MRA data as well as lung computed tomography (CT) data.

[1]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Nicholas Ayache,et al.  Model-Based Detection of Tubular Structures in 3D Images , 2000, Comput. Vis. Image Underst..

[3]  Yun-Gang Chen,et al.  Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations , 1989 .

[4]  Robert T. Schultz,et al.  A New Approach to 3D Sulcal Ribbon Finding from MR Images , 1999, MICCAI.

[5]  Demetri Terzopoulos,et al.  Deformable models in medical image analysis: a survey , 1996, Medical Image Anal..

[6]  Anthony J. Yezzi,et al.  Gradient flows and geometric active contour models , 1995, Proceedings of IEEE International Conference on Computer Vision.

[7]  Baba C. Vemuri,et al.  Front Propagation: A Framework for Topology Independent Shape Modeling and Recovery , 1994 .

[8]  Steven J. Altschuler,et al.  Shortening space curves and flow through singularities , 1992 .

[9]  Olivier D. Faugeras,et al.  Co-dimension 2 Geodesic Active Contours for MRA Segmentation , 1999, IPMI.

[10]  L. Evans,et al.  Motion of level sets by mean curvature. II , 1992 .

[11]  H. Soner,et al.  Level set approach to mean curvature flow in arbitrary codimension , 1996 .

[12]  S. Pizer,et al.  Intensity ridge and widths for tubular object segmentation and description , 1996, Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis.

[13]  B. Kimia,et al.  Volumetric segmentation of medical images by three-dimensional bubbles , 1995, Proceedings of the Workshop on Physics-Based Modeling in Computer Vision.

[14]  Jean-Michel Morel,et al.  Introduction To The Special Issue On Partial Differential Equations And Geometry-driven Diffusion In Image Processing And Analysis , 1998, IEEE Trans. Image Process..

[15]  Demetri Terzopoulos,et al.  T-snakes: Topology adaptive snakes , 2000, Medical Image Anal..

[16]  J. Alison Noble,et al.  Statistical 3D Vessel Segmentation Using a Rician Distribution , 1999, MICCAI.

[17]  Songde Ma,et al.  Thin network extraction in 3D images: application to medical angiograms , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[18]  P. Lions,et al.  Image selective smoothing and edge detection by nonlinear diffusion. II , 1992 .

[19]  T. Chan,et al.  A Variational Level Set Approach to Multiphase Motion , 1996 .

[20]  Alan Liu,et al.  Reconstruction of the Intracerebral Vasculature from MRA and a Pair of Projection Views , 1997, IPMI.

[21]  Nicholas Ayache,et al.  Directional Anisotropic Diffusion Applied to Segmentation of Vessels in 3D Images , 1997, Scale-Space.

[22]  J. Alison Noble,et al.  Segmentation of Cerebral Vessels and Aneurysms from MR Angiography Data , 1997, IPMI.

[23]  Jürgen Weese,et al.  A Multi-scale Line Filter with Automatic Scale Selection Based on the Hessian Matrix for Medical Image Segmentation , 1997, Scale-Space.

[24]  Nicholas Ayache,et al.  Model-based multiscale detection of 3D vessels , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[25]  Alejandro F. Frangi,et al.  Muliscale Vessel Enhancement Filtering , 1998, MICCAI.

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

[27]  M. Gage,et al.  The heat equation shrinking convex plane curves , 1986 .

[28]  Guido Gerig,et al.  Three-dimensional multi-scale line filter for segmentation and visualization of curvilinear structures in medical images , 1998, Medical Image Anal..

[29]  Robert T. Schultz,et al.  Segmentation and Measurement of the Cortex from 3D MR Images , 1998, MICCAI.

[30]  M. Grayson The heat equation shrinks embedded plane curves to round points , 1987 .

[31]  James S. Duncan,et al.  Medical Image Analysis , 1999, IEEE Pulse.

[32]  W. Eric L. Grimson,et al.  Utilizing Segmented MRI Data in Image-Guided Surgery , 1997, Int. J. Pattern Recognit. Artif. Intell..

[33]  J. Sethian,et al.  A Fast Level Set Method for Propagating Interfaces , 1995 .

[34]  Guillermo Sapiro,et al.  Vector-valued active contours , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[35]  D. Chopp Computing Minimal Surfaces via Level Set Curvature Flow , 1993 .

[36]  V. Caselles,et al.  A geometric model for active contours in image processing , 1993 .

[37]  Olivier Faugeras,et al.  Reconciling Distance Functions and Level Sets , 2000, J. Vis. Commun. Image Represent..

[38]  Jack Xin,et al.  Diffusion-Generated Motion by Mean Curvature for Filaments , 2001, J. Nonlinear Sci..