A schrödinger equation for the fast computation of approximate euclidean distance functions

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5567 LNCS, Issue , 2009, Pages 100-111

  Gurumoorthy, Karthik S ^a   Rangarajan, Anand ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL MECHANICS; CLOSED FORM SOLUTIONS; COMPUTATIONAL TECHNIQUE; DINGER EQUATION; EUCLIDEAN DISTANCE; EXACT EUCLIDEAN DISTANCE; FAST COMPUTATION; FAST SWEEPING METHOD; FAST-MARCHING; HAMILTON JACOBI EQUATIONS; HAMILTON-JACOBI; LAGRANGIAN; LIMITING CASE; NUMBER OF GRIDS; PLANCK'S CONSTANTS; QUANTUM MECHANICS; SHARP CONTRAST; SYNTHETIC DATA;

COMPUTATIONAL METHODS; COMPUTER VISION; IMAGE ANALYSIS; NONLINEAR EQUATIONS; THREE DIMENSIONAL; WAVE EQUATIONS; WAVE FUNCTIONS;

MECHANICS;

EID: 69049114402     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02256-2_9     Document Type: Conference Paper

References (16)

1. Horn, B.K.P.: Robot vision. MIT Press, Cambridge (1986)
2. Kimmel, R.: Numerical geometry of images: Theory, algorithms, and applications. Springer, Heidelberg (2003)
3. Grimson, W.E.L.: An implementation of a computational theory of visual surface interpolation. Computer Vision, Graphics, and Image Processing 22(1), 39-69 (1983)
4. Siddiqi, K., Tannenbaum, A., Zucker, S.W.: A Hamiltonian approach to the eikonal equation. In: Hancock, E.R., Pelillo,M. (eds.) EMMCVPR 1999. LNCS, vol. 1654, pp. 1-13. Springer, Heidelberg (1999)
5. Kao, C.Y., Osher, S.J., Tsai, Y.H.: Fast sweeping methods for static Hamilton-Jacobi equations. SIAM Journal on Numerical Analysis 42(6), 2612-2632 (2004)
6. Goldstein, H., Poole, C.P., Safko, J.L.: Classical mechanics. Addison-Wesley, Reading (2002)
7. Butterfield, J.: On Hamilton-Jacobi theory as a classical root of quantum theory. In: Elitzur, A., Dolev, S., Kolenda, N. (eds.) Quo-Vadis Quantum Mechanics, pp. 239-274. Springer, Heidelberg (2005)
8. Griffiths, D.J.: Introduction to quantum mechanics. Addison-Wesley, Reading (2004)
9. Osher, S.J., Sethian, J.A.: Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79(1), 12-49 (1988)
10. Zhao, H.K.: A fast sweeping method for eikonal equations. Mathematics of Computation 74, 603-627 (2005)
11. de Berg, M., Cheong, O., van Kreveld, M., Overmars, M.: Computational geometry: Algorithms and applications. Springer, Heidelberg (2008)
12. Cooley, J.W., Tukey, J.W.: An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation 19(90), 297-301 (1965)
13. Arnold, V.I.: Mathematical methods of classical mechanics. Springer, Heidelberg (1989)
14. Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. Government Printing Office, USA (1964)
15. Bracewell, R.N.: The Fourier transform and its applications. McGraw-Hill Science and Engineering, New York (1999)
16. Hida, Y., Li, H.S., Bailey, D.H.: Quad-double arithmetic: Algorithms, implementation, and application. Technical Report LBNL-46996, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 (2000)