Abstract
A novel statistical method using path integral Monte Carlo simulation based on quantum mechanics to detect edges of interested objects was proposed in this paper. Our method was inspired by essential characteristics of quantum, and based on the quantum particle movement evolved towards the edge position with high probability density in the gradient-based image potential field. The discussion about computational complexity and parameter settings demonstrated the feasibility and robustness of our method.
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References
Kass, M., Witkin, A., Terzopoulus, D.: Snakes: Active Bound-ary Model. IJCV 1(4), 321–331 (1988)
McInerney, T., Terzopoulos, D.: Deformable Models in Medi-cal Image Analysis: A Survey. Medical Image Analysis 1, 91–108 (1996)
Suri, J., Liu, K., Singh, S.: Shape Recovery Algorithms Using Level Sets in 2-D/3D Medical Imagery: A State of the Art Review. IEEE Trans. on Information Technology in Biomedicine 6, 8–28 (2002)
Feymann, R.P.: Space-time Approach to Non-relativistic Quantum Mechanics. Rev. Mod. Phys. 20, 367–387 (1948)
Feynman, R.P., Hibbs, A.R.: Quantum Mechanics and Path Integrals. McGraw-Hill, New York (1965)
Chandler, D., Wolynes, P.G.: Exploiting The Isomorphism Between Quantum Theory and Classical Statistical Mechanics of Polyatomic Fluids. J. Chem. Phys. 74(7), 4078–4095 (1981)
Brualla Barbera, L.: Path integral Monte Carlo algorithms and applications to quantum fluids. Universitat Politénica de Catalunya, Barcelona (2002)
Ceperley, D.M., Manousakis, E.: Path integral Monte Carlo Applications to Quantum Fluids in Confined Geometries. J. Chem. Phys. 115(22), 10111–10118 (2001)
Shumway, J., Gilbert, M.J.: Path Integral Monte Carlo Simulations of Nanowires and Quantum Point Contacts. J. Phys. Conf. Ser. 35, 190–196 (2006)
Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N.: Equations of state calculations by fast computing machines. J. Chem. Phys. 21, 1087–1091 (1953)
Ceperley, D.M.: Path Integrals in the Theory of Condensed Helium. Rev. Mod. Phys. 67, 279–355 (1995)
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Sun, Y. (2014). Quantum Statistical Edge Detection Using Path Integral Monte Carlo Simulation. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_69
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DOI: https://doi.org/10.1007/978-3-662-45049-9_69
Publisher Name: Springer, Berlin, Heidelberg
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