@conference {13209,
	title = {Multi-level fast multipole method for thin plate spline evaluation},
	booktitle = {Image Processing, 2004. ICIP {\textquoteright}04. 2004 International Conference on},
	volume = {3},
	year = {2004},
	month = {2004/10//},
	pages = {1683 - 1686 Vol. 3 - 1683 - 1686 Vol. 3},
	abstract = {Image registration is an important problem in image processing and computer vision. Much recent work in image registration is on matching non-rigid deformations. Thin plate splines are an effective image registration method when the deformation between two images can be modeled as the bending of a thin metal plate on point constraints such that the topology is preserved (non-rigid deformation). However, because evaluating the computed TPS model at all the image pixels is computationally expensive, we need to speed it up. We introduce the use of multi-level fast muitipole method (MLFMM) for this purpose. Our contribution lies in the presentation of a clear and concise MLFMM framework for TPS, which will be useful for future application developments. The achieved speedup using MLFMM is an improvement from O(N<sup>2</sup>) to O(N log N). We show that the fast evaluation outperforms the brute force method while maintaining acceptable error bound.},
	keywords = {(mathematics);, Computer, deformation;, evaluation;, fast, image, MATCHING, matching;, metal, method;, multilevel, multipole, nonrigid, pixel;, plate, plate;, processing;, registration;, resolution;, spline, splines, thin, vision;},
	doi = {10.1109/ICIP.2004.1421395},
	author = {Zandifar,A. and Lim,S. and Duraiswami, Ramani and Gumerov, Nail A. and Davis, Larry S.}
}
@article {15380,
	title = {Critical fields and pulse durations for precessional switching of thin magnetic films},
	journal = {Magnetics, IEEE Transactions on},
	volume = {39},
	year = {2003},
	month = {2003/09//},
	pages = {2504 - 2506},
	abstract = {The precessional switching process of a uniformly magnetized thin film with in-plane anisotropy subject to pulsed magnetic fields applied in the film plane is analyzed. Critical fields required to achieve switching are studied for the case when the applied field is constant during the pulse duration and forms arbitrary angles with the hard axis. By using two integrals of magnetization motion, the explicit expressions for the critical field are derived. The formulas for durations of rectangular magnetic field pulses that guarantee the precessional switching of magnetization are presented as well.},
	keywords = {anisotropy;, axis;, critical, durations;, field;, fields;, film;, films;, hard, in-plane, integrals;, magnetic, magnetisation, magnetization, magnetization;, magnetized, motion;, precessional, pulse, pulsed, rectangular, reversal;, switching;, thin, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2003.816454},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C.}
}
@article {15387,
	title = {Geometrical analysis of precessional switching and relaxation in uniformly magnetized bodies},
	journal = {Magnetics, IEEE Transactions on},
	volume = {39},
	year = {2003},
	month = {2003/09//},
	pages = {2501 - 2503},
	abstract = {Precessional switching and relaxation in a single-domain particle or film is studied by using the Landau-Lifshitz-Gilbert equation. The analysis of the switching process is based on the explicit knowledge of two integrals of motion for the magnetization dynamics in the conservative case. The knowledge of these integrals of motions enables one to carry out the geometrical analysis of the system and give the complete phase portrait. The relaxation process which occurs after the magnetization is reversed is analyzed by using geometrical methods and it is showed that the dynamical system exhibits entanglement of separatrices and riddled basins of attraction.},
	keywords = {analysis;, attraction;, basins, bodies;, dynamical, dynamics;, entanglement;, equation;, film;, films;, geometrical, integrals, Landau-Lifshitz-Gilbert, magnetic, magnetisation, magnetization, magnetized, motion;, of, particle;, particles;, phase, portrait;, precessional, relaxation;, reversal;, riddled, separatrices;, single-domain, spin, switching;, system;, thin, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2003.816453},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C. and d{\textquoteright}Aquino,M.}
}
@article {15399,
	title = {Perturbation technique for LLG dynamics in uniformly magnetized bodies subject to RF fields},
	journal = {Magnetics, IEEE Transactions on},
	volume = {38},
	year = {2002},
	month = {2002/09//},
	pages = {2403 - 2405},
	abstract = {The problem of magnetization dynamics of a uniformly magnetized uniaxial particle or film, under elliptically polarized applied field, is considered. In the special case of circularly polarized applied field and particles (films) with a symmetry axis, pure time-harmonic magnetization modes exist that can be computed analytically. Deviations from these highly symmetric conditions are treated as perturbation of the symmetric case. The perturbation technique leads to the exactly solvable system of linear differential equations for the perturbations which enables one to compute higher order magnetization harmonic. The analytical solutions are obtained and then compared with numerical results.},
	keywords = {analytical, anisotropy, anisotropy;, applied, bodies;, circularly, component;, constant-in-time, constant;, damping, demagnetisation;, demagnetizing, differential, dynamics;, effective, elliptically, equation;, equations;, exactly, factors;, field;, film;, films;, Frequency, gyromagnetic, harmonic;, higher, Landau-Lifshitz-Gilbert, large, linear, magnetic, magnetisation;, magnetization, magnetization;, magnetized, modes;, MOTION, order, partial, particle;, particles;, perturbation, polarized, radio, ratio;, RF, saturation, solution;, solvable, system;, technique;, techniques;, thin, time-harmonic, uniaxial, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2002.803596},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C.}
}
@article {15401,
	title = {Resolution enhancement by applying MFM under UHV conditions},
	journal = {Magnetics, IEEE Transactions on},
	volume = {36},
	year = {2000},
	month = {2000/09//},
	pages = {2975 - 2977},
	abstract = {The enhancement in signal-to-noise ratio and lateral resolution in MFM in going from ambient pressure to UHV is demonstrated. The performance of several cantilevers is evaluated using a patterned 50 nm thick permalloy film, with cross-tie as well as 90 deg; domain walls, and a 200 nm thick permalloy film with perpendicular magnetization. The increase in the quality factor of the cantilever oscillation in UHV improves the sensitivity, consequently allowing less magnetic material on the tip to achieve the same signal-to-noise ratio. This reduction in magnetic volume sharpens the lateral resolution. We also demonstrate that the magnetic interaction can be so weak that a magnetic contrast is visible only under UHV conditions},
	keywords = {conditions;cantilevers;domain, contrast;magnetic, domain, enhancement;Permalloy;magnetic, enhancement;signal-to-noise, film;perpendicular, films;magnetisation;, force, magnetization;resolution, MFM;NiFe;UHV, microscopy;magnetic, ratio, resolution;magnetic, thin, volume;permalloy, walls;lateral, walls;magnetic},
	isbn = {0018-9464},
	doi = {10.1109/20.908645},
	author = {Dreyer,M. and Gomez,R.D. and Mayergoyz, Issak D}
}
@article {15371,
	title = {A new point of view on the mathematical structure of Maxwell{\textquoteright}s equations},
	journal = {Magnetics, IEEE Transactions on},
	volume = {29},
	year = {1993},
	month = {1993/03//},
	pages = {1315 - 1320},
	abstract = {It is emphasized that the Maxwell equations have a peculiar mathematical structure which leads to boundary value problems with an overspecified number of partial differential equations and an underspecified number of boundary conditions. An attempt is made to reduce these boundary value problems to standard mathematical formulations with equal numbers of partial differential equations and boundary conditions. It is demonstrated that these formulations have some attractive features which appreciably facilitate their finite element discretizations. A numerical example involving scattering of plane electromagnetic waves from a perfect conducting thin plate illustrates the discussion},
	keywords = {analysis;partial, conditions;boundary, conducting, differential, discretizations;mathematical, element, EM, equations;, equations;boundary, equations;boundary-value, equations;perfect, example;partial, Maxwell{\textquoteright}s, plate;plane, problems;electromagnetic, problems;finite, scattering;finite, scattering;Maxwell, structure;numerical, thin, value, wave},
	isbn = {0018-9464},
	doi = {10.1109/20.250640},
	author = {Mayergoyz, Issak D and D{\textquoteright}Angelo,J.}
}
