Model-free Surface Visualization of Vascular Trees

Expressive and efficient visualizations of complex vascular structures are essential for medical applications, such as diagnosis and therapy planning. A variety of techniques has been developed which provide smooth high-quality visualizations of vascular structures based on rather simple model assumptions. For diagnostic applications, these model assumptions and the resulting deviations from the actual vessel surface are not acceptable. We present a model-free approach which employs the binary result of a prior vessel segmentation as input. Instead of directly converting the segmentation result into a surface, we compute a point cloud which is adaptively refined at thin structures, where aliasing effects are particularly obvious and artifacts may occur. The point cloud is transformed into a surface representation by means of MPU Implicits, which provide a smooth piecewise quadratic approximation. Our method has been applied to a variety of datasets including pathologic cases. The generated visualizations are considerably more accurate than model-based approaches. Compared to other model-free approaches, our method produces smoother results.

[1]  Ken Masamune,et al.  Region-Growing Based Feature Extraction Algorithm for Tree-Like Objects , 1996, VBC.

[2]  David E. Breen,et al.  Contour-based surface reconstruction using MPU implicit models , 2007, Graph. Model..

[3]  Bernhard Preim,et al.  Visualization of anatomic tree structures with convolution surfaces , 2004, VISSYM'04.

[4]  Bernhard Preim,et al.  Analysis of vasculature for liver surgical planning , 2002, IEEE Transactions on Medical Imaging.

[5]  Heinrich Müller,et al.  Improved Laplacian Smoothing of Noisy Surface Meshes , 1999, Comput. Graph. Forum.

[6]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[7]  Andreas Pommert,et al.  A Realistic Model of the Inner Organs from the Visible Human Data , 2000, MICCAI.

[8]  Jules Bloomenthal,et al.  Convolution surfaces , 1991, SIGGRAPH.

[9]  Bernhard Preim,et al.  Comparison of Fundamental Mesh Smoothing Algorithms for Medical Surface Models , 2006, SimVis.

[10]  Jules Bloomenthal,et al.  An Implicit Surface Polygonizer , 1994, Graphics Gems.

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

[12]  Sarah F. Frisken Constrained Elastic Surface Nets: Generating Smooth Surfaces from Binary Segmented Data , 1998, MICCAI.

[13]  John Hart,et al.  ACM Transactions on Graphics , 2004, SIGGRAPH 2004.

[14]  Bernhard Preim,et al.  Visualization and interaction techniques for the exploration of vascular structures , 2001, Proceedings Visualization, 2001. VIS '01..

[15]  Sarah Gibson Constrained Elastic Surface Nets: Generating Smooth Surfaces from Binary Segmented Data , 1998 .

[16]  W. Regli Smooth 3d Surface Reconstruction from Contours of Biological Data with Mpu Implicits , 2006 .

[17]  Hans-Peter Seidel,et al.  Multi-level partition of unity implicits , 2005, SIGGRAPH Courses.

[18]  Hongkai Zhao,et al.  Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets , 2007 .

[19]  William E. Lorensen,et al.  Marching cubes: a high resolution 3D surface construction algorithm , 1996 .

[20]  Jos B. T. M. Roerdink,et al.  Efficient Surface Reconstruction From Noisy Data Using Regularized Membrane Potentials , 2006, IEEE Transactions on Image Processing.

[21]  Jos B. T. M. Roerdink,et al.  Efficient Surface Reconstruction from Noisy Data using Regularized Membrane Potentials , 2006, EuroVis.

[22]  R Kikinis,et al.  Local maximum intensity projection (LMIP): a new rendering method for vascular visualization. , 1998, Journal of computer assisted tomography.

[23]  Alexander Bornik,et al.  Reconstruction and Representation of Tubular Structures using Simplex Meshes , 2005, WSCG.

[24]  Christopher Nimsky,et al.  Enhanced 3D-Visualization of Intracranial Aneurysms Involving the Skull Base , 2003, MICCAI.