Dynamic Programming Generation of Curves on Brain Surfaces

Dynamic programming algorithms are presented for automated generation of length minimizing geodesics and curves of extremal curvature on the neocortex of the macaque and the visible human. Probabilistic models of curve variation are constructed in terms of the variability in speed, curvature, and torsion in the Frenet representation.

[1]  D. V. van Essen,et al.  Structural and Functional Analyses of Human Cerebral Cortex Using a Surface-Based Atlas , 1997, The Journal of Neuroscience.

[2]  R. Bellman Dynamic programming. , 1957, Science.

[3]  D. J. Felleman,et al.  Distributed hierarchical processing in the primate cerebral cortex. , 1991, Cerebral cortex.

[4]  J. Maunsell,et al.  Two‐dimensional maps of the cerebral cortex , 1980, The Journal of comparative neurology.

[5]  H. Elliott,et al.  Stochastic boundary estimation and object recognition , 1980 .

[6]  A. Toga,et al.  Three-Dimensional Statistical Analysis of Sulcal Variability in the Human Brain , 1996, The Journal of Neuroscience.

[7]  B. O'neill Elementary Differential Geometry , 1966 .

[8]  D. V. van Essen,et al.  Functional and structural mapping of human cerebral cortex: solutions are in the surfaces. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[9]  S. Geman,et al.  Computer recognition of coronary arteries , 1991 .

[10]  D. V. Essen,et al.  A tension-based theory of morphogenesis and compact wiring in the central nervous system , 1997, Nature.

[11]  Bernd Hamann,et al.  Curvature Approximation for Triangulated Surfaces , 1993, Geometric Modelling.

[12]  Kanti V. Mardia,et al.  Ridge Curves and Shape Analysis , 1996, BMVC.

[13]  Alexis Gourdon,et al.  The 3D Marching Lines Algorithm , 1996, CVGIP Graph. Model. Image Process..

[14]  Roberto Scopigno,et al.  Using Marching Cubes on Small Machines , 1994, CVGIP Graph. Model. Image Process..

[15]  U. Grenander,et al.  Statistical methods in computational anatomy , 1997, Statistical methods in medical research.

[16]  W. Welker Why Does Cerebral Cortex Fissure and Fold , 1990 .