The canonical coordinates method for pattern deformation:theoretical and computational considerations

A method for the analysis of deformed patterns is presented and analyzed. The image is transformed into a new set of coordinates in which the deformation has a particular simple form. A number of deformations are considered. The practical implementation of the method is discussed. Similar aspects of biological vision are also considered     

Two theorems in catoptrics.

Two general theorems in the theory of mirrors are presented. The first one asserts that a mirror that reflects a parallel beam into a beam with zero mean curvature must be harmonic. The second one provides a universal characterization of the spot diagram of rays from a reflected parallel beam as they intersect a plane orthogonal to their direction of propagation.     

Redundancy optimization of static series-parallel reliabilitymodels under uncertainty

This paper extends the classical model of Ushakov on redundancy optimization of series-parallel static coherent reliability systems with uncertainty in system parameters. Their objective function represents the total capacity of a series-parallel static system, while the decision parameters are the nominal capacity and the availability of the elements. They obtain explicit expressions (both analytic and via efficient simulation) for the constraint of the program, viz, for the Cdf of the system total capacity and then show that the extended program is convex mixed-integer. Depending on whether the objective function and the associated constraints are analytically available or not, they suggest using deterministic and stochastic (simulation) optimization approaches, respectively. The last case is associated with likelihood ratios (change of probability measure). A genetic algorithm for finding the optimal redundancy is developed and supporting numerical results are presented     

Three-dimensional localization of cochlear implant electrodes using epipolar stereophotogrammetry

Three-dimensional (3-D) localization of individual cochlear implant electrodes within the inner ear is of importance for modeling the electrical field of the cochlea, designing the electrode array, and programming the associated speech processor. A 3-D reconstruction method of cochlear implant electrodes is proposed to localize individual electrodes from two X-ray views in combination with the spiral computed tomography technique. By adapting epipolar geometry to the configuration of an X-ray imaging system, we estimate individual electrode locations in the least square sense without using a patient attachment required by an existing stereophotogrammetry technique. Furthermore, our method does not require any knowledge of the intrinsic and extrinsic parameters of the imaging system. The performance of our method is studied in numerical simulation and with patient data and is found to be sufficiently accurate for clinical use. The maximum root mean-square errors measured are 0.0445 and 0.214 mm for numerical simulation and patient data, respectively.     

Quick estimation of rare events in stochastic networks

This paper presents a method for fast estimation of probabilities of rare events in stochastic networks, with a particular emphasis on coherent reliability systems. The method is based on the concepts of likelihood-ratios (LR), change of probability measure and the bottleneck-cut in the network. Both polynomial and exponential-time Monte Carlo estimators are defined, and conditions under which the time complexity of the proposed LR estimators is bounded by a polynomial are discussed. The accuracy of the method depends only on the size (cardinality) of the bottleneck-cut, not on the topology and actual size of the network. Supporting numerical results are presented, with the cardinality of the bottleneck-cut ⩽20     

Influence of fluorescence anisotropy on fluorescence intensity and lifetime measurement: theory, simulations and experiments

The significance of fluorescence anisotropy in fluorescence intensity and lifetime measurements, and erroneous measurements and interpretations resulting from its disregard, are thoroughly discussed, formulated and quantified. In all fluorescence-related measurements--including excitation and emission spectra, relative fluorescence intensity (FI), fluorescenc life time (FLT), fluorescence resonance energy transfer (FRET), etc., with the exception of fluorescence polarization and anisotropy--it is generally true that the higher the fluorescence anisotropy, the greater the distortion of fluorescence measurements. Quantifiable distortions occur when fluorescence measurements are conducted without considering the influence of fluorescence anisotropy. Here, this influence is described by numerous newly developed mathematical expressions which are simulated and experimentally confirmed utilizing single and binary fluorescent solutions of fluorophores with different spectroscopic characteristics. A marked agreement is shown between the theory and experimental data, clearly indicating the legitimacy of the physical suppositions and the mathematical expressions presented in this paper. Practical and instructive implications are discussed. The following findings are of special applicative importance: 1) the existence of an infinite number of couples of Magic Angles; 2) the deviation between two equally fluorescing particles having different fluorescence anisotropies; 3) the relation between the detected fluorescence intensity and anisotropy when measured under various setups of emission and excitation polarizers; 4) the dependence of the artificial normalized steady-state weight of a single-exponentially decaying fluorophore on its fluorescence anisotropy.     

The use of hybrid lenses in management of the irregular cornea.

The use of SoftPerm hybrid lenses was investigated as part of a 10 year retrospective audit of keratoconus in the Contact Lens Service at Nottingham University Hospital which serves a population of approximately one million. During this period, nine patients (14 eyes) were fitted with SoftPerm a lenses for keratoconus. Two further patients (two eyes) were included with a diagnosis of irregular astigmatism and one patient (one eye) was fitted post-corneal graft. Seven patients were regarded as successful hybrid lens wearers and five were regarded as unsuccessful wearers. Of the unsuccessful cases, one patient managed satisfactorily using a rigid gas permeable corneal on the unaffected eye, two patients subsequently had successful corneal grafts, one patient continued with restricted rigid gas permeable lens wear and one patient defaulted.     

Lightning-induced voltages at both ends of a 448-mpower-distribution line

Lightning-induced voltages due to return strokes in ground flashes beyond about 5 km were measured simultaneously at both ends of an unenergized 448-m power-distribution line. The measurements represent an extension of an earlier experiment on the same line in which voltages are obtained at only one end of the line. In addition to the induced voltage measurements, the causative lightning electric and magnetic fields are recorded. The voltage and field measurements are made as a function of the lightning direction and of the power-line termination. For both measured and idealized electric fields as inputs to a time-domain transmission-line coupling model, the authors calculate line voltages as a function of the incident angle of the lightning electromagnetic radiation and of the line termination. Measured and predicted voltages calculated from the coupling model with measured fields as inputs show, overall, good agreement in waveshape, but the predicted voltages are about a factor of three larger in amplitude. To the extent that the results can be compared, there is reasonable agreement with the earlier experiments on the same line     

Structural investigation of PEG-fibrinogen conjugates

Controllable bio-synthetic polymeric hydrogels made from fibrinogen-poly(ethylene glycol) adducts have been successfully employed in tissue engineering. The structural consequences of PEG conjugation to fibrinogen (i.e., PEGylation) in such a hydrogel network are not fully understood. The current investigation details the structural alterations caused to the reduced fibrinogen polypeptides by the covalent attachment of linear or branched PEG chains. The structure of PEGylated fibrinogen polypeptides were comprehensively characterized using small angle X-ray scattering, light scattering, and cryo-transmission electron microscopy. These characterizations concur that the bio-synthetic hybrids self-assemble into elongated objects, having a protein core of about 50 Å in diameter decorated with multiple PEG chains. Conjugates with branched PEG chains were shorter, and have lower average molecular weight compared to conjugates with linear chains. The diameter of the protein core of both samples was similar, suggesting a tail-to-head aggregation of the PEGylated fibrinogen polypeptide. A more complete understanding of this unique structural arrangement can provide further insight into the full extent of biofunctional accessibility in a biomaterial that combines the advantages of synthetic polymers with bioactive proteins.     

A novel electrochemical method for visual detection of surface inclusions in metallic substrates

An electrochemical method is presented for fast and non-destructive detection of surface inclusions in metals and alloys. Using electrode modification techniques, the sample surface is coated with a dark layer; the non-conductive inclusions remain uncoated and thus appear bright and highly visible. The new technique is demonstrated on different alloys with simulated and real inclusions.