Registration with Uncertainties and Statistical Modeling of Shapes with Variable Metric Kernels

Maxime Taron; Nikos Paragios; Marie-Pierre Jolly

Registration with Uncertainties and Statistical Modeling of Shapes with Variable Metric Kernels

Maxime Taron ^{1, 2} Nikos Paragios ^{2, 3} Marie-Pierre Jolly ⁴

1 CERTIS - Centre d'Enseignement et de Recherche en Technologies de l'Information et Systèmes

2 Ecole Centrale Paris

3 GALEN - Organ Modeling through Extraction, Representation and Understanding of Medical Image Content

Inria Saclay - Ile de France, Ecole Centrale Paris

4 Department of Imaging and Visualization [Siemens Corporate Research]

Abstract : Registration and modeling of shapes are two important problems in computer vision and pattern recognition. Despite enormous progress made over the past decade, these problems are still open. In this paper, we advance the state of the art in both directions. First, we consider an efficient registration method that aims to recover a one-to-one correspondence between shapes and introduce measures of uncertainties driven from the data which explain the local support of the recovered transformations. To this end, a free-form deformation is used to describe the deformation model. The transformation is combined with an objective function defined in the space of implicit functions used to represent shapes. Once the registration parameters have been recovered, we introduce a novel technique for model building and statistical interpretation of the training examples based on a variable bandwidth kernel approach. The support on the kernels varies spatially and is determined according to the uncertainties of the registration process. Such a technique introduces the ability to account for potential registration errors in the model. Handwritten character recognition and knowledge-based object extraction in medical images are examples of applications that demonstrate the potentials of the proposed framework.

Type de document :

Article dans une revue

Domaine :

Informatique [cs] / Autre [cs.OH]

Liste complète des métadonnées

https://hal-enpc.archives-ouvertes.fr/hal-00712244
Contributeur : Ist Enpc <>
Soumis le : mardi 26 juin 2012 - 16:48:13
Dernière modification le : jeudi 7 février 2019 - 17:29:31

Registration with Uncertainties and Statistical Modeling of Shapes with Variable Metric Kernels

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