Articles

Directional adaptive deformable models for segmentation

[+] Author Affiliations
Nicolas Rougon, Franc¸oise Pre⁁teux

Institut National des Te´le´communications, De´partement Signal et Image, 9, Rue Charles Fourier, F-91011 Evry Cedex, France

J. Electron. Imaging. 7(1), 231-256 (Jan 01, 1998). doi:10.1117/1.482641
History: Received Feb. 7, 1996; Revised July 1, 1997; Accepted Sep. 4, 1997
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Abstract

We address the problem of adapting the functions controlling the material properties of 2-D snakes, and show how introducing oriented smoothness constraints results in a novel class of active contour models for segmentation, which extends standard isotropic inhomogeneous membrane/thin-plate stabilizers. These constraints, expressed as adaptive L2 matrix norms, are defined by two second-order symmetric and positive definite tensors that are invariant with respect to rigid motions in the image plane. These tensors, equivalent to directional adaptive stretching and bending densities, are quadratic with respect to first- and second-order derivatives of the image luminance, respectively. A representation theorem specifying their canonical form is established and a geometrical interpretation of their effects is developed. Within this framework, it is shown that by achieving a directional control of regularization such nonisotropic constraints consistently relate the differential properties (metric and curvature) of the deformable model with those of the underlying luminance surface, yielding a satisfying preservation of image contour characteristics. In particular, this model adapts to nonstationary curvature variations along image contours to be segmented, thus providing a consistent solution to curvature underestimation problems encountered near high curvature contour points by classical snakes evolving with constant material parameters. Optimization of the model within continuous and discrete frameworks is discussed in detail. Finally, accuracy and robustness of the model are established on synthetic images. Its efficacy is further demonstrated on 2-D MRI sequences for which comparisons with segmentations obtained using classical snakes are provided. © 1998 SPIE and IS&T.

© 1998 SPIE and IS&T

Citation

Nicolas Rougon and Franc¸oise Pre⁁teux
"Directional adaptive deformable models for segmentation", J. Electron. Imaging. 7(1), 231-256 (Jan 01, 1998). ; http://dx.doi.org/10.1117/1.482641


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