A Closed-Form, Consistent and Robust Solution to Uncalibrated Photometric Stereo Via Local Diffuse Reflectance Maxima

Images of an object under different illumination are known to provide strong cues about the object surface. A mathematical formalization of how to recover the normal map of such a surface leads to the so-called uncalibrated photometric stereo problem. In the simplest instance, this problem can be reduced to the task of identifying only three parameters: the so-called generalized bas-relief (GBR) ambiguity. The challenge is to find additional general assumptions about the object, that identify these parameters uniquely. Current approaches are not consistent, i.e., they provide different solutions when run multiple times on the same data. To address this limitation, we propose exploiting local diffuse reflectance (LDR) maxima, i.e., points in the scene where the normal vector is parallel to the illumination direction (see Fig. 1). We demonstrate several noteworthy properties of these maxima: a closed-form solution, computational efficiency and GBR consistency. An LDR maximum yields a simple closed-form solution corresponding to a semi-circle in the GBR parameters space (see Fig. 2); because as few as two diffuse maxima in different images identify a unique solution, the identification of the GBR parameters can be achieved very efficiently; finally, the algorithm is consistent as it always returns the same solution given the same data. Our algorithm is also remarkably robust: It can obtain an accurate estimate of the GBR parameters even with extremely high levels of outliers in the detected maxima (up to 80 % of the observations). The method is validated on real data and achieves state-of-the-art results.

The CODE MGEX orbit and clock solution

The Center for Orbit Determination in Europe (CODE) is contributing as a global Analysis center to the International GNSS Service (IGS) since many years. The processing of GPS and GLONASS data is well established in CODE’s ultra-rapid, rapid, and final product lines. With the introduction of new signals for the established and new GNSS, new challenges and opportunities are arising for the GNSS data management and processing. The IGS started the Multi-GNSS-EXperiment (MGEX) in 2012 in order to gain first experience with the new data formats and to develop new strategies for making optimal use of these additional measurements. CODE has started to contribute to IGS MGEX with a consistent, rigorously combined triple-system orbit solution (GPS, GLONASS, and Galileo). SLR residuals for the computed Galileo satellite orbits are of the order of 10 cm. Furthermore CODE established a GPS and Galileo clock solution. A quality assessment shows that these experimental orbit and clock products allow even a Galileo-only precise point positioning (PPP) with accuracies on the decimeter- (static PPP) to meter-level (kinematic PPP) for selected stations.

Astrophysical parameters and orbital solution of the peculiar X-ray transient IGR J00370+6122

Context. BD + 60° 73 is the optical counterpart of the X-ray source IGR J00370+6122, a probable accretion-powered X-ray pulsar. The X-ray light curve of this binary system shows clear periodicity at 15.7 d, which has been interpreted as repeated outbursts around the periastron of an eccentric orbit. Aims. We aim to characterise the binary system IGR J00370+6122 by deriving its orbital and physical parameters. Methods. We obtained high-resolution spectra of BD + 60° 73 at different epochs. We used the fastwind code to generate a stellar atmosphere model to fit the observed spectrum and obtain physical magnitudes. The synthetic spectrum was used as a template for cross-correlation with the observed spectra to measure radial velocities. The radial velocity curve provided an orbital solution for the system. We also analysed the RXTE/ASM and Swift/BAT light curves to confirm the stability of the periodicity. Results. BD + 60° 73 is a BN0.7 Ib low-luminosity supergiant located at a distance ~3.1 kpc, in the Cas OB4 association. We derive Teff = 24 000 K and log gc = 3.0, and chemical abundances consistent with a moderately high level of evolution. The spectroscopic and evolutionary masses are consistent at the 1-σ level with a mass M∗ ≈ 15 M⊙. The recurrence time of the X-ray flares is the orbital period of the system. The neutron star is in a high-eccentricity (e = 0.56 ± 0.07) orbit, and the X-ray emission is strongly peaked around orbital phase φ = 0.2, though the observations are consistent with some level of X-ray activity happening at all orbital phases. Conclusions. The X-ray behaviour of IGR J00370+6122 is reminiscent of “intermediate” supergiant X-ray transients, though its peak luminosity is rather low. The orbit is somewhat wider than those of classical persistent supergiant X-ray binaries, which when combined with the low luminosity of the mass donor, explains the low X-ray luminosity. IGR J00370+6122 will very likely evolve towards a persistent supergiant system, highlighting the evolutionary connection between different classes of wind-accreting X-ray sources.

Access to Electronic Data by Third-Country Law Enforcement Authorities, Challenges to EU Rule of Law and Fundamental Rights. Center for European Policy Studies, 2015

This study examines the challenges posed to European law by third country access to data held by private companies for the purposes of law enforcement. It pays particular attention to the implications for rule of law and fundamental rights of foreign authorities’ direct access to electronic information falling outside pre-established channels of supranational cooperation. A special focus is given to EU-US relations and the practical issues emerging in transatlantic relations covering mutual legal assistance and evidence gathering for law enforcement purposes in criminal proceedings.

An EU mechanism on Democracy, the Rule of Law and Fundamental Rights. CEPS Paper in Liberty and Security in Europe No. 91/April 2016 Thursday, 21 April 2016

The European Union is founded on a set of common principles of democracy, the rule of law, and fundamental rights, as enshrined in Article 2 of the Treaty on the European Union. Whereas future Member States are vetted for their compliance with these values before they accede to the Union, no similar method exists to supervise adherence to these foundational principles after accession. EU history proved that this ‘Copenhagen dilemma’ was far from theoretical. EU Member State governments’ adherence to foundational EU values cannot be taken for granted. Violations may happen in individual cases, or in a systemic way, which may go as far as overthrowing the rule of law. Against this background the European Parliament initiated a Legislative Own-Initiative Report on the establishment of an EU mechanism on democracy, the rule of law and fundamental rights and proposed among others a Scoreboard on the basis of common and objective indicators by which foundational values can be measured. This Research Paper assesses the need and possibilities for the establishment of an EU Scoreboard, as well as its related social, economic, legal and political ‘costs and benefits’.

Effects of sulfuric acid rain on two model hardwood forests : throughfall, litter leachate, and soil solution /

"January 1980."

Mastering power production : the industrial, economic and social problems involved and their solution /

Mode of access: Internet.

The major range problems and their solution, résumé of a report prepared in response to Senate resolution 29, together with letters of transmittal, table of contents, etc., from "The western range,a great but neglected natural resource,"

Mode of access: Internet.

A summary of quality and fundamental characteristics of traffic flow: two technical research reports by Adolf D. May, Jr., and Frederick A. Wagner, Jr.

Mode of access: Internet.

Reclaiming the old house : its modern problems and their solution as governed by the methods of its builders /

Mode of access: Internet.