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Determining Optical Flow
 ARTIFICIAL INTELLIGENCE
, 1981
"... Optical flow cannot be computed locally, since only one independent measurement is available from the image sequence at a point, while the flow velocity has two components. A second constraint is needed. A method for finding the optical flow pattern is presented which assumes that the apparent veloc ..."
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Cited by 1727 (7 self)
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Optical flow cannot be computed locally, since only one independent measurement is available from the image sequence at a point, while the flow velocity has two components. A second constraint is needed. A method for finding the optical flow pattern is presented which assumes that the apparent velocity of the brightness pattern varies smoothly almost everywhere in the image. An iterative implementation is shown which successfully computes the optical flow for a number of synthetic image sequences. The algorithm is robust in that it can handle image sequences that are quantized rather coarsely in space and time. It is also insensitive to quantization of brightness levels and additive noise. Examples are included where the assumption of smoothness is violated at singular points or along lines in the image.
Hardware architecture for optical flow estimation
 in real time”, Proc. ICIP
, 1998
"... Optical flow estimation from image sequences has been for several years a mathematical process carried out by general purpose processors in no real time. In this work a specific architecture for this task has been developed and tested with simulators of hardware description languages. This architect ..."
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Cited by 4 (1 self)
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Optical flow estimation from image sequences has been for several years a mathematical process carried out by general purpose processors in no real time. In this work a specific architecture for this task has been developed and tested with simulators of hardware description languages. This architecture can estimate the optical flow in real time and can be constructed with FPGA or ASIC devices. This hardware may have many applications in fields like object recognition, image segmentation, autonomous navigation and security systems. To simulate image processing models described in VHDL an application specific test bench has been designed. 1.
Developing the MTO Formalism
, 1999
"... Abstract. The TBLMTOASA method is reviewed and generalized to an accurate and robust TBNMTO minimalbasis method, which solves Schrödinger’s equation to Nth order in the energy expansion for an overlapping MTpotential, and which may include any degree of downfolding. For N = 1, the simple TBLMT ..."
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Cited by 1 (0 self)
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Abstract. The TBLMTOASA method is reviewed and generalized to an accurate and robust TBNMTO minimalbasis method, which solves Schrödinger’s equation to Nth order in the energy expansion for an overlapping MTpotential, and which may include any degree of downfolding. For N = 1, the simple TBLMTOASA formalism is preserved. For a discrete energy mesh, the NMTO basis set may be given as: χ (N) (r) = ∑ n φ(εn,r) L(N) n in terms of kinked partial waves, φ (ε,r) , evaluated on the mesh, ε0,..., εN. This basis solves Schrödinger’s equation for the MTpotential to within an error ∝ (ε − ε0)... (ε − εN). The Lagrange, as well as the Hamiltonian and overlap matrices for the NMTO set, have simple expressions in terms of energy derivatives on the mesh of the Green matrix, defined as the inverse of the screened KKR matrix. The variationally determined singleelectron energies have errors ∝ (ε − ε0) 2... (ε − εN) 2. A method for obtaining orthonormal NMTO sets is given and several applications are presented. matrixcoefficients, L (N) n
Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts.
, 708
"... Glueballs, hybrids and multiquark states are predicted as bound states in models guided by quantum chromodynamics, by QCD sum rules or QCD on a lattice. Estimates for the (scalar) glueball ground state are in the mass range from 1000 to 1800MeV, followed by a tensor and a pseudoscalar glueball at hi ..."
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Glueballs, hybrids and multiquark states are predicted as bound states in models guided by quantum chromodynamics, by QCD sum rules or QCD on a lattice. Estimates for the (scalar) glueball ground state are in the mass range from 1000 to 1800MeV, followed by a tensor and a pseudoscalar glueball at higher mass. Experiments have reported evidence for an abundance of meson resonances with 0 −+, 0 ++ and 2 ++ quantum numbers. In particular the sector of scalar mesons is full of surprises starting from the elusive σ and κ mesons. The a0(980) and f0(980), discussed extensively in the literature, are reviewed with emphasis on their Januslike appearance as K ¯ K molecules, tetraquark states or q¯q mesons. Most exciting is the possibility that the three mesons f0(1370), f0(1500), and f0(1710) might reflect the appearance of a scalar glueball in the world of quarkonia. However, the existence of f0(1370) is not beyond doubt and there is evidence that both f0(1500) and f0(1710) are flavour octet states, possibly in a tetraquark composition. We suggest a scheme in which the scalar glueball is dissolved into the wide background into which all scalar flavour singlet mesons collapse. There is an abundance of meson resonances with the quantum numbers of the η. Three states are reported below 1.5GeV/c 2 whereas quark models expect only one, perhaps two. One of these states, ι(1440), was the prime glueball candidate for a long time. We show that ι(1440) is the first radial excitation of the η meson. Hybrids may have exotic quantum numbers which are not accessible by q¯q mesons. There are several claims
NUMERICAL SOLUTION OF THE ELECTRON DIFFUSION EQUATION*
, 1972
"... A numerical solution to the integrodifferential equation describing the energy’distribution of a beam of electrons which has passed through matter, losing energy by radiation only, has been obtained utilizing a finite difference mesh method. Solutions were obtained for thicknesses of up to 0.1 radi ..."
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A numerical solution to the integrodifferential equation describing the energy’distribution of a beam of electrons which has passed through matter, losing energy by radiation only, has been obtained utilizing a finite difference mesh method. Solutions were obtained for thicknesses of up to 0.1 radiation lengths for a complete screening approximation to the energy loss equation. The accuracy of the method was checked by comparison of results with known solutions to the diffusion equation. The formulas of MoTsai and Tsai for electron straggling distributions were compared to the numerical results. Good agreement was found near the high energy end of the distribution, the numerical results being within two percent of the theoretical predictions. At the low energy end of the distribution, the numerical results differ from those predicted by as much as eight percent at thicknesses of 0.1 radiation length. The disagreement was found to be proportional to thickness traversed by the beam.