We suggest two efficient algorithms for the detection of ‘perceptual significance’ among the local maxima of a 1-d signal. For an input function f(x) and an integer n, the first algorithm finds the n most significant maxima of f(x). The second algorithm finds all significant maxima of f(x), irrespective of their number. We represent an input signalf(x) as aG-graphG(f(x)), the vertices of which ...

Direct solutions to systems of polynomial equalities have been established in literature pertaining to two-view geometry to extract the focal lengths of a camera pair from the fundamental matrix, when other intrinsic calibration parameters are known. But these formulae break down near degeneracies characterized as critical motions, which occur quite commonly in practical scenarios. The contribu...

Strong gravitational lensing and stellar dynamics provide two complementary and orthogonal constraints on the density profiles of galaxies. Based on spherically symmetric, scale-free, mass models, it is shown that the combination of both techniques is powerful in breaking the mass-sheet and mass-anisotropy degeneracies. Second, observational results are presented from the Lenses Structure & Dyn...

The accelerating expansion of the universe suggests that an unknown component with strongly negative pressure, called dark energy, currently dominates the dynamics of the universe. Such a component makes up ∼ 70% of the energy density of the universe yet has not been predicted by the standard model of particle physics. The best method for exploring the nature of this dark energy is to map the r...

We extract, from a quark model potential that reproduces the number and ordering of nonstrange baryonic resonances up to 2.3 GeV, the quantum numbers for the dominant configurations in the ground and first non-radial excited states. From the pattern of quantum numbers we identify, from data, spectral regularities that allow us to predict the expected high spin low-lying spectrum from 2.3 to 3.0...

The problem of locating local maxima and minima of a function from approximate measurement results is vital for many physical applications: In spectral analysis, chemical species are identiied by locating local maxima of the spectra. In radioastronomy, sources of celestial radio emission, and their subcomponents, are identiied by locating local maxima of the measured brightness of the radio sky...