Training Models of Shape from Sets of Examples

A method for building flexible shape models is presented in which a shape is represented by a set of labelled points. The technique determines the statistics of the points over a collection of example shapes. The mean positions of the points give an average shape and a number of modes of variation are determined describing the main ways in which the example shapes tend to deform from the average. In this way allowed variation in shape can be included in the model. The method produces a compact flexible ‘Point Distribution Model’ with a small number of linearly independent parameters, which can be used during image search. We demonstrate the application of the Point Distribution Model in describing two classes of shapes.

[1]  Keinosuke Fukunaga,et al.  Application of the Karhunen-Loève Expansion to Feature Selection and Ordering , 1970, IEEE Trans. Computers.

[2]  J. Gower Generalized procrustes analysis , 1975 .

[3]  Charles R. Dyer,et al.  Model-based recognition in robot vision , 1986, CSUR.

[4]  James S. Duncan,et al.  Parametrically deformable contour models , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  William Grimson,et al.  Object recognition by computer - the role of geometric constraints , 1991 .

[6]  Dimitris N. Metaxas,et al.  Dynamic 3D models with local and global deformations: deformable superquadrics , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[7]  Alan L. Yuille,et al.  Deformable Templates for Feature Extraction from Medical Images , 1990, ECCV.

[8]  Alex Pentland,et al.  Closed-Form Solutions for Physically Based Shape Modeling and Recognition , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Timothy F. Cootes,et al.  A Trainable Method of Parametric Shape Description , 1991, BMVC.

[10]  Timothy F. Cootes,et al.  A generic system for image interpretation using flexible templates. , 1992 .

[11]  Kanti V. Mardia,et al.  Statistical Shape Models in Image Analysis , 1992 .

[12]  Timothy F. Cootes,et al.  Trainable method of parametric shape description , 1992, Image Vis. Comput..

[13]  Timothy F. Cootes,et al.  A Generic System for Image Interpretation Using Flexible Templates , 1992, BMVC.

[14]  C. Taylor,et al.  Active shape models - 'Smart Snakes'. , 1992 .

[15]  A. Jacobson,et al.  Morphometric tools for landmark data , 1993 .