Model-Based Initialisation for Segmentation

The initialisation of segmentation methods aiming at the localisation of biological structures in medical imagery is frequently regarded as a given precondition. In practice, however, initialisation is usually performed manually or by some heuristic preprocessing steps. Moreover, the same framework is often employed to recover from imperfect results of the subsequent segmentation. Therefore, it is of crucial importance for everyday application to have a simple and effective initialisation method at one's disposal. This paper proposes a new model-based framework to synthesise sound initialisations by calculating the most probable shape given a minimal set of statistical landmarks and the applied shape model. Shape information coded by particular points is first iteratively removed from a statistical shape description that is based on the principal component analysis of a collection of shape instances. By using the inverse of the resulting operation, it is subsequently possible to construct initial outlines with minimal effort. The whole framework is demonstrated by means of a shape database consisting of a set of corpus callosum instances. Furthermore, both manual and fully automatic initialisation with the proposed approach is evaluated. The obtained results validate its suitability as a preprocessing step for semi-automatic as well as fully automatic segmentation. And last but not least, the iterative construction of increasingly point-invariant shape statistics provides a deeper insight into the nature of the shape under investigation.

[1]  Charles R. Giardina,et al.  Elliptic Fourier features of a closed contour , 1982, Comput. Graph. Image Process..

[2]  Michael Isard,et al.  Active Contours , 2000, Springer London.

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

[4]  Peter Schröder,et al.  Interactive multiresolution mesh editing , 1997, SIGGRAPH.

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

[6]  András Kelemen,et al.  Elastic model-based segmentation of 2-D and 3-D neuroradiological data sets , 1998 .

[7]  Aapo Hyvrinen Independent Component Analysis by Minimization of Mutual Information Independent Component Analysis by Minimization of Mutual Information Independent Component Analysis by Minimization of Mutual Information , 1997 .

[8]  Guido Gerig,et al.  Segmentation of 2-D and 3-D objects from MRI volume data using constrained elastic deformations of flexible Fourier contour and surface models , 1996, Medical Image Anal..

[9]  Timothy F. Cootes,et al.  The Use of Active Shape Models for Locating Structures in Medical Images , 1993, IPMI.

[10]  Computer-Assisted Intervention,et al.  Medical Image Computing and Computer-Assisted Intervention – MICCAI’99 , 1999, Lecture Notes in Computer Science.

[11]  Frieder Kuhnert,et al.  Pseudoinverse Matrizen und die Methode der Regularisierung , 1976 .

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

[13]  R. Penrose A Generalized inverse for matrices , 1955 .

[14]  Martin A. Fischler,et al.  Detection of roads and linear structures in low-resolution aerial imagery using a multisource knowledge integration technique☆ , 1981 .

[15]  Timothy F. Cootes,et al.  Active shape models , 1998 .

[16]  Gábor Székely,et al.  Tamed Snake: A Particle System for Robust Semi-automatic Segmentation , 1999, MICCAI.

[17]  R. Penrose On best approximate solutions of linear matrix equations , 1956, Mathematical Proceedings of the Cambridge Philosophical Society.

[18]  Guido Gerig,et al.  Elastic model-based segmentation of 3-D neuroradiological data sets , 1999, IEEE Transactions on Medical Imaging.

[19]  King-Sun Fu,et al.  Shape Discrimination Using Fourier Descriptors , 1977, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[20]  David R. Forsey,et al.  Hierarchical B-spline refinement , 1988, SIGGRAPH.

[21]  A. Kelemen,et al.  Three-dimensional model-based segmentation of brain MRI , 1998, Proceedings. Workshop on Biomedical Image Analysis (Cat. No.98EX162).

[22]  Jayaram K. Udupa,et al.  Adaptive boundary detection using 'live-wire' two-dimensional dynamic programming , 1992, Proceedings Computers in Cardiology.

[23]  James S. Duncan,et al.  Boundary Finding with Parametrically Deformable Models , 1992, IEEE Trans. Pattern Anal. Mach. Intell..