Chenyang Xu's Research Home Page

Current work on level-set based active contours

My research publications

Gradient Vector Flow: A new external force for active contour and deformable surface

My thesis proposal on brain mapping using Active (Deformable) surface models (the image is a heart image!). (gzipped postcript)

Cortical surface reconstruction

A brain movie

Computing geometric quantities for cortical surface

Johns Hopkins University brain research links

Brain mapping on the internet

Conference Announcements

General Reference

  • Variational Calculus and Optimal Control, Springer, John L. Troutman, Springer-Verlag, 1996
  • Differential Geometry of Curves and Surfaces, Manfredo Perdigao do Carmo, Prentice-Hall, 1976.
  • Elements of differential geometry, Richard S. Millman and George D. Parker, Prentice-Hall, 1977.
  • Numerical methods for partial differential equations, William F. Ames, 3rd ed., Academic Press, 1992.
  • Algorithms in C, Robert Sedgewick, 3rd ed., Addison-Wesley, 1998 --- fundamentals, data structures, sorting, searching.
  • The Finite Element Method --- A First Approach, Alan J. Davies, Oxford Press, 1980.
  • Robot Vision, Berthold K. P. Horn, MIT Press, 1986.
  • Introduction to Stochastic processes, Erhan Cinlar, Prentice-Hall, 1975.
  • Design Patterns: Elements of Reusable Object-Oriented Software, E. Gamma, R. Helm, R. Johnson, J. Vlissides, Addison-Wesley, 1994.
  • Scientific and Engineering C++: An Introduction with Advanced Techniques and Examples, J. J. Barton and L. R. Nackman, Addison-Wesley, 1994.

Special Interest Reference

  • Sethian, J. A, ``A fast marching levset method for monotonically advancing fronts,'' Proc. Nat. Acad. Sci., 93, 4, pp. 1591-1595, 1996.
  • Adalsteinsson, Sethian, ``The fast construction of extension velocities in level set methods,'' J. Compu. Phys., 148, pp. 2-22, 1999.
  • Adalsteinsson, D., and Sethian, J.A., ``A fast level set method for propogating interfaces,'' J. Compu. Phys., 118, 2, pp. 269-277, 1995.

Science Citation Index Citations for Papers of Interest

  • M. Kass, A. Witkin, and D. Terzopoulos, ``Snakes - Active Contour Models'' International Journal of Computer Vision, 1(4): 321-331, 1987. (citations)
  • S. Osher and J. A. Sethian, "Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations," Journal of Computational Physics, 79(1): 12-49, 1988. (citations)
  • R. Malladi, J. A. Sethian, B. C. Vemuri, "Shape modeling with front propagation: A level set approach," IEEE Transactions on Pattern Analysis and Machine Intelligence, 17(2): 158-175, Feburary 1995. (citations)
  • V. Caselles, F. Catte, T. Coll, et al., "A Geometric Model for Active Contours in Image Processing," Numerische Mathematik, 66(1): 1-31 October 1993. (citations)
  • T. F. Cootes, C. J. Taylor, D. H. Cooper, et al., " Active Shape Models - Their Training and Application," Computer Vision and Image Understanding, 61(1): 38-59, January 1995. (citations)

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