Missing data estimation with statistical models

In this paper, we deal with the pattern recognition problem using non-linear statistical models based on Kernel Principal Component Analysis. Objects that we try to recognize are defined by ordered sets of points. We present here two types of models: the first one uses an explicit projection function, the second one uses the Kernel trick. The present work attempts to estimate the localization of partially visible objects. Both are applied to the cephalometric problem with good results.

[1]  Anil K. Jain,et al.  Statistical Pattern Recognition: A Review , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  D N Davis,et al.  Knowledge-based cephalometric analysis: a comparison with clinicians using interactive computer methods. , 1994, Computers and biomedical research, an international journal.

[3]  Alex Pentland,et al.  Modal Matching for Correspondence and Recognition , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Michel Desvignes,et al.  Linear and non-linear model for statistical localization of landmarks , 2002, Object recognition supported by user interaction for service robots.

[5]  S T Nugent,et al.  Automatic landmarking of cephalograms. , 1989, Computers and biomedical research, an international journal.

[6]  Milan Sonka,et al.  An Improved Active Shape Model: Handling Occlusion and Outliers , 1997, ICIAP.

[7]  D. Kendall SHAPE MANIFOLDS, PROCRUSTEAN METRICS, AND COMPLEX PROJECTIVE SPACES , 1984 .

[8]  Maher A. Sid-Ahmed,et al.  An image processing system for locating craniofacial landmarks , 1994, IEEE Trans. Medical Imaging.

[9]  John K. Tsotsos,et al.  Knowledge-based landmarking of cephalograms. , 1986, Computers and biomedical research, an international journal.

[10]  Fred L. Bookstein,et al.  Principal Warps: Thin-Plate Splines and the Decomposition of Deformations , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Marleen de Bruijne,et al.  Image segmentation by shape particle filtering , 2004, ICPR 2004.

[12]  Shaogang Gong,et al.  A Multi-View Nonlinear Active Shape Model Using Kernel PCA , 1999, BMVC.

[13]  Alejandro F Frangi,et al.  A non-linear gray-level appearance model improves active shape model segmentation , 2001, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA 2001).

[14]  Timothy F. Cootes,et al.  Statistical models of appearance for computer vision , 1999 .

[15]  Bernhard Schölkopf,et al.  Nonlinear Component Analysis as a Kernel Eigenvalue Problem , 1998, Neural Computation.

[16]  Gunnar Rätsch,et al.  Kernel PCA and De-Noising in Feature Spaces , 1998, NIPS.

[17]  Milan Sonka,et al.  Segmentation and interpretation of MR brain images. An improved active shape model , 1998, IEEE Transactions on Medical Imaging.

[18]  Milan Sonka,et al.  Automated initialization and automated design of border detection criteria in edge-based image segmentation , 2000, 4th IEEE Southwest Symposium on Image Analysis and Interpretation.

[19]  Stan Sclaroff,et al.  Active blobs: region-based, deformable appearance models , 2003, Computer Vision and Image Understanding.

[20]  Bernhard Schölkopf,et al.  Learning with kernels , 2001 .

[21]  Alejandro F. Frangi,et al.  Active shape model segmentation with optimal features , 2002, IEEE Transactions on Medical Imaging.

[22]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[23]  P Hammond,et al.  An evaluation of active shape models for the automatic identification of cephalometric landmarks. , 2000, European journal of orthodontics.

[24]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[25]  Timothy F. Cootes,et al.  Active Appearance Models , 2001, IEEE Trans. Pattern Anal. Mach. Intell..