This article proposes a new method for detecting symmetry points in images. Like other symmetry detection algorithms, it assigns a “symmetry score” to each image point. Our symmetry measure is only based on scalar products between gradients and is therefore both easy to implement and of low runtime complexity. Moreover, our approach also yields the size of the symmetry region without additional...

Symmetry is one of the most fundamental principles in design. The choice between symmetry and asymmetry affects the layout and feeling of a design. A symmetrical page gives a feeling of permanence and stability, while informal or asymmetrical balance creates interest. The aim of this paper is to solve the problem of an automatic detection of axial and radial symmetry or lack of it in published ...

We investigate ramifications of the persistent spin helix symmetry in two-dimensional hole gases in the conductance of disordered mesoscopic systems. To this end we extend previous models by going beyond the axial approximation for III-V semiconductors. We identify for heavy-hole subbands an exact spin-preserving symmetry analogous to the electronic case by analyzing the crossover from weak ant...

Meson-baryon couplings between positive and negative parity baryons are investigated using two point correlation functions in the soft meson limit. We find that the πN N * coupling vanishes due to chiral symmetry, while the ηN N * coupling remains finite. We perform an analysis based on the algebraic method for SU (2) and SU (3) chiral symmetry, and find that baryon axial charges play an essent...

Axial symmetry in x-ray radiation of wire-array z pinches is important for the creation of dynamic hohlraums used to compress inertial-confinement-fusion capsules. We present the first evidence that this symmetry is directly correlated with the magnitude of the negative radial electric field along the wire surface. This field (in turn) is inferred to control the initial energy deposition into t...

We study the existence of stationary solutions of the VlasovPoisson system with finite radius and finite mass in the stellar dynamics case. So far, the existence of such solutions is only known under the assumption of spherical symmetry. Using the implicit function theorem we show that certain stationary, spherically symmetric solutions can be embedded in one parameter families of stationary, a...

Wilson fermions break chiral symmetry explicitly. Explicit breaking of chiral symmetry is necessary to generate, from the lattice regulated model, the U(1) axial anomaly in the continuum limit for a vectorlike gauge theory [1]. To examine the role of the underlying lattice fermion model in generating the ABJ anomaly a convenient and transparent starting point is the condition, in this context, ...

Within the collective coordinate approach to chiral soliton models we suggest that breaking of SU(3) flavor symmetry mainly resides in the baryon wave–functions while the charge operators have no (or only small) symmetry breaking components. In this framework we study the gA/gV ratios for hyperon beta–decay as well as the various quark flavor components of the axial charge of the nucleon and th...

Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson relation, we investigate canonical formulation of massless fermion on the spatial lattice. For free fermion system exact chiral symmetry can be implemented without species doubling. In the presence of gauge couplings the chiral symmetry is violated. We show that the divergence of the axial vector current is related to the chir...

We perform the replica symmetry breaking (RSB) in the vicinity of the point of instability of the replica symmetric solution in the model of axial quadrupolar glass. It is shown that the solution with the first stage RSB is stable against the second stage RSB. Although there is no reflection symmetry the 1RSB solution bifurcates continuously from the RS one. These facts mean that our model can ...