• Publication
  • 2007
  • Issue No. 6 - June
  • Abstract - Curve/Surface Representation and Evolution Using Vector Level Sets with Application to the Shape-Based Segmentation Problem
 This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Curve/Surface Representation and Evolution Using Vector Level Sets with Application to the Shape-Based Segmentation Problem
June 2007 (vol. 29 no. 6)
pp. 945-958
In this paper, we revisit the implicit front representation and evolution using the vector level set function (VLSF) proposed in [1]. Unlike conventional scalar level sets, this function is designed to have a vector form. The distance from any point to the nearest point on the front has components (projections) in the coordinate directions included in the vector function. This kind of representation is used to evolve closed planar curves and 3D surfaces as well. Maintaining the VLSF property as the distance projections through evolution will be considered together with a detailed derivation of the vector partial differential equation (PDE) for such evolution. A shape-based segmentation framework will be demonstrated as an application of the given implicit representation. The proposed level set function system will be used to represent shapes to give a dissimilarity measure in a variational object registration process. This kind of formulation permits us to better control the process of shape registration, which is an important part in the shape-based segmentation framework. The method depends on a set of training shapes used to build a parametric shape model. The color is taken into consideration besides the shape prior information. The shape model is fitted to the image volume by registration through an energy minimization problem. The approach overcomes the conventional methods problems like point correspondences and weighing coefficients tuning of the evolution (PDEs). It is also suitable for multidimensional data and computationally efficient. Results in 2D and 3D of real and synthetic data will demonstrate the efficiency of the framework.
Index Terms:
Shape representation, level sets, deformable models, shape-based segmentation.
Citation:
Hossam E. Abd El Munim, Aly A. Farag, "Curve/Surface Representation and Evolution Using Vector Level Sets with Application to the Shape-Based Segmentation Problem," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 29, no. 6, pp. 945-958, June 2007, doi:10.1109/TPAMI.2007.1100
Usage of this product signifies your acceptance of the Terms of Use.