SHAPE ANALYSIS USING CURVATURE-BASED DESCRIPTORS AND PROFILE HIDDEN MARKOV MODELS

This paper presents a new framework for shape modeling and analysis. A shape instance is described by a curvature-based shape descriptor. A profile hidden Markov model (PHMM) is then built on such descriptors to represent a class of similar shapes. PHMMs are a particular type of hidden Markov models (HMMs) with special states and architecture that can tolerate considerable shape contour perturbations, including rigid and non-rigid deformations, occlusions, and missing parts. The sparseness of the PHMM structure also provides efficient inference and learning algorithms for shape modeling and analysis. Our experimental results on corpus callosum images show the effectiveness and robustness of this new framework.

[1]  S. F. Witelson.  Hand and sex differences in the isthmus and genu of the human corpus callosum. A postmortem morphological study. , 1989, Brain : a journal of neurology.

[2]  Mikkel B. Stegmann,et al.  Corpus callosum analysis using MDL-based sequential models of shape and appearance , 2004, SPIE Medical Imaging.

[3]  Manuele Bicego,et al.  Investigating hidden Markov models' capabilities in 2D shape classification , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  R. Bleier,et al.  Variations in human corpus callosum do not predict gender: a study using magnetic resonance imaging. , 1988, Behavioral neuroscience.

[5]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[6]  Guojun Lu,et al.  Review of shape representation and description techniques , 2004, Pattern Recognit..

[7]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[8]  Sean R. Eddy,et al.  Profile hidden Markov models , 1998, Bioinform..

[9]  Sean R. Eddy,et al.  Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids , 1998 .

[10]  Ninad Thakoor,et al.  Shape classifier based on generalized probabilistic descent method with hidden Markov descriptor , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[11]  Sven Loncaric,et al.  A survey of shape analysis techniques , 1998, Pattern Recognit..

[12]  F. Robichon,et al.  Abnormal Callosal Morphology in Male Adult Dyslexics: Relationships to Handedness and Phonological Abilities , 1998, Brain and Language.