Fringe analysis uses the distribution of bottom subtrees or fringe of search trees under the assumption of random insertion of keys, yielding an average case analysis of the fringe. The results in the fringe give upper and lower bounds for several measures for the whole tree. We are interested in the fringe analysis of the synchronized parallel insertion algorithms of Paul, Vishkin, and Wagener...

Context. The Fringe Sensor Unit (FSU) is the central element of the Phase Referenced Imaging and Micro-arcsecond Astrometry (PRIMA) dual-feed facility and provides fringe sensing for all observation modes, comprising off-axis fringe tracking, phase referenced imaging, and high-accuracy narrow-angle astrometry. It is installed at the Very Large Telescope Interferometer (VLTI) and successfully se...

Reflective equilibrium, as a methodology for the "formation of logics," fails on *fringe*, where intricate details can make or break logical theory. On fringe, process theorification cannot be methodologically governed by anything like reflective equilibrium. When theorising gets tricky, there is nothing pre-theoretical side which our theoretical claims reflect of---at least not in any meaningf...

For almost two decades one of the most successful methods of demodulating fringe patterns was based on the Fourier transform implementation of the 1-D Hilbert transform /1/ . Recently, however, a method of fringe analysis based on an isotropic 2-D Hilbert transform has been proposed /2/ . An isotropic Hilbert transform had been previously considered topologically impossible by many researchers....

An extended fractional Fourier transform (FRT) based fringe-adjusted joint transform correlator (JTC) for real-time target recognition applications has been implemented. In real-time situation, the input scene is captured using a chargecoupled device camera. The joint input images are fractional Fourier transformed and the joint power spectrum (JPS) has been recorded. Thus obtained JPS is multi...

To eliminate the problem with artificial boundary conditions and facilitate the use of Fourier methods, the fringe region (or filter, damping layer, absorbing layer, sponge layer) technique has been used in direct simulations of transitional and turbulent boundary layers. Despite the fact that good computational results have been obtained with this technique, it is not fully understood. The ana...

Optical Holography (OH) and Speckle Interferometry (SI) are the emerging optical techniques that can be used for the measurements of microscopic parameters such as displacement components, surface strain, surface roughness, contour, strain, slope, etc. These methods have evolved into an accepted branch of experimental stress analysis. In this paper, the computer aided interferometry for Non-Des...

Lateral chromatic aberration (CA) of color cameras has great effects on the imaging quality. This paper presents a novel method to full-field calibrate lateral CA between color channels by using unwrapped phase data. Closed circle sinusoidal fringe patterns having the optimum three-fringe numbers are generated and displayed on a liquid crystal screen consecutively through red, green and blue ch...

Among various optical fiber distance sensing techniques, optical fiber sensors based on white-light Fabry-Perot interferometry offer the simplest configuration, the highest sensitivity, and the most precise distance measurement. Because a whitelight interferometric sensor can overcome the directional ambiguity problem encountered by the other interferometric techniques, it is especially attract...

Urban expansion significantly alters fringe environments often with undesirable impacts on biodiversity. Consequently, there is a need to define clear conservation objectives for areas subject to urban encroachment. Urban fringe development is a highly dynamic process, both spatially and temporally, but few studies are equipped to examine its temporal effects on biota. We aimed to explore the i...