We compute the Coulomb correction to the total and diffractive cross sections for virtual photon scattering off a heavy nucleus at low x. We show that it violates the geometric scaling in a wide range of photon virtualities and is weakly x independent. In heavy nuclei at low Q2, the Coulomb correction to the total and diffractive cross sections is about 20% and 40%, correspondingly.

in recent years, the application of composite materials in aircraft and space vehicle structural components has become increasingly popular. preventing failure of composite structural systems has been an important issue in engineering design. due to the lack of through-the-thickness reinforcement, structures made from laminated composite materials and adhesively bonded joints are highly suscept...

This article proposes a solution to automatic color correction between two images/videos based on region correspondences. It starts with image segmentation by marker-controlled watershed transformation, which is faster and produces more uniform regions with better adherence to object boundaries than the segmentation in previous color correction approaches. Then, regions between two images are m...

Multi-projector displays require a variety of image correction techniques. Geometric distortions resulting from projecting onto non-planar display surfaces and non-linear properties of projector lenses must be corrected to produce usable images. Photometric issues such as varying luminance response between projectors and brightness discontinuities in projector overlap regions must also be corre...

We assess the influence of geometric aberrations on optical traps’ in-plane performance by studying the dynamics of trapped colloidal spheres in deliberately distorted holographic optical tweezers. The traps’ lateral stiffness turns out to be insensitive to moderate amounts of coma, astigmatism and spherical aberration. Moreover, holographic aberration correction enables us to compensate inhere...

In this article we consider rough differential equations (RDEs) driven by non-geometric rough paths, using the concept of branched rough paths introduced in [Gub10]. We first show that branched rough paths can equivalently be defined as γ-Hölder continuous paths in some Lie group, akin to geometric rough paths. We then show that every branched rough path can be encoded in a geometric rough path...

In this work we consider an adaptive optical system in which a deformable mirror is controlled to compensate for random wavefront disturbances. For most systems of this type, the shape of the mirror is taken as a linear function of the wavefront error, leading to satisfactory results in linear regimes. Here, the geometric shape of the mirror leading to a perfect correction of the wavefront is d...