Velcro Surfaces: Fast Initialization of Deformable Models

Even though methods based on the use of deformable models have become prevalent, the quality of their output depends critically on the model's initial state. The issue of initializing such models, however, has not received much attention even though it is often key to the implementation of a truly useful system.We therefore present a new approach to segmentation of three-dimensional (3-D) shapes that initializes and then optimizes a 3-D surface model given only the data and a very small number of 3-D seed points and corresponding surface normals. This is a valuable capability for medical, robotic, and cartographic applications where such seed points can be naturally supplied. In effect, the surface model is clamped onto the object boundary in a manner reminiscent of Velcro being closed. Applications of the developed method to stereo imagery and to volumetric medical data are demonstrated.

[1]  Gábor Székely,et al.  Making snakes converge from minimal initialization , 1994, Proceedings of 12th International Conference on Pattern Recognition.

[2]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[3]  Dmitry B. Goldgof,et al.  Adaptive-Size Meshes for Rigid and Nonrigid Shape Analysis and Synthesis , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Benjamin B. Kimia,et al.  Shock-Based Reaction-Diffusion Bubbles for Image Segmentation , 1995, CVRMed.

[5]  Jean-Daniel Boissonnat,et al.  Geometric structures for three-dimensional shape representation , 1984, TOGS.

[6]  Dimitris N. Metaxas,et al.  Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Christian Großmann,et al.  Numerik partieller Differentialgleichungen , 1994 .

[8]  Leila De Floriani,et al.  A Hierarchical Triangle-Based Model for Terrain Description , 1992, Spatio-Temporal Reasoning.

[9]  Demetri Terzopoulos,et al.  The Role of Constraints and Discontinuities in Visible-Surface Reconstruction , 1983, IJCAI.

[10]  ISAAC COHEN,et al.  Using deformable surfaces to segment 3-D images and infer differential structures , 1992, CVGIP Image Underst..

[11]  Wolfgang Fichtner,et al.  PILS: an iterative linear solver package for ill-conditioned systems , 1991, Proceedings of the 1991 ACM/IEEE Conference on Supercomputing (Supercomputing '91).

[12]  Demetri Terzopoulos,et al.  A dynamic finite element surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image analysis. , 1995, Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society.

[13]  David G. Lowe,et al.  Fitting Parameterized Three-Dimensional Models to Images , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Norman I. Badler,et al.  Hierarchical Shape Representation Using Locally Adaptive Finite Elements , 1994, ECCV.

[15]  Walter M. Neuenschwander Elastic deformable contour and surface models for 2-D and 3-D image segmentation , 1995 .

[16]  Dr. M. G. Worster Methods of Mathematical Physics , 1947, Nature.

[17]  Pascal Fua,et al.  Using 3-Dimensional Meshes To Combine Image-Based and Geometry-Based Constraints , 1994, ECCV.

[18]  Baba C. Vemuri,et al.  Shape Modeling with Front Propagation: A Level Set Approach , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  Gérard G. Medioni,et al.  Surface description of complex objects from multiple range images , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[20]  Demetri Terzopoulos,et al.  On Matching Deformable Models to Images , 1987, Topical Meeting on Machine Vision.