Arbitrary Color Research Articles

Production of colored scalar particles in pp collisions and masses of scalar gluons from future LHC data

The production of pairs of scalar particles belonging to an arbitrary color multiplet of the SUc(3) group in proton-proton collisions is considered, and the differential and total cross sections for the corresponding partonic processes are obtained. The total cross section for the production of octets of scalar gluons F1 and F2 at LHC is calculated versus their mass, and their dominant decays, which are necessary for their searches, are discussed. It is shown that, for mF1 ≲ 1000 GeV, the number of signal \( t\tilde tb\tilde b \) events fromthe decays of the scalar gluon F1 may exceed substantially (by not less than three standard deviations) the Standart Model background and that the cross section for the production of scalar gluons F1 and F2 having masses in the region mF1,mF2 ≲ 1300 GeV may be sufficient for the efficient (Nevents ≲ 100–1000 at L = 10–100 fb−1) production of these particles at LHC.

From spectral information to animal colour vision: experiments and concepts

Many animals use the spectral distribution of light to guide behaviour, but whether they have colour vision has been debated for over a century. Our strong subjective experience of colour and the fact that human vision is the paradigm for colour science inevitably raises the question of how we compare with other species. This article outlines four grades of 'colour vision' that can be related to the behavioural uses of spectral information, and perhaps to the underlying mechanisms. In the first, even without an (image-forming) eye, simple organisms can compare photoreceptor signals to locate a desired light environment. At the next grade, chromatic mechanisms along with spatial vision guide innate preferences for objects such as food or mates; this is sometimes described as wavelength-specific behaviour. Here, we compare the capabilities of di- and trichromatic vision, and ask why some animals have more than three spectral types of receptors. Behaviours guided by innate preferences are then distinguished from a grade that allows learning, in part because the ability to learn an arbitrary colour is evidence for a neural representation of colour. The fourth grade concerns colour appearance rather than colour difference: for instance, the distinction between hue and saturation, and colour categorization. These higher-level phenomena are essential to human colour perception but poorly known in animals, and we suggest how they can be studied. Finally, we observe that awareness of colour and colour qualia cannot be easily tested in animals.

Arbitrary visuomotor mapping during object manipulation in Parkinson's disease

The objective of this study is to investigate whether subjects with Parkinson's disease are able to use arbitrary color cues linked to the mass of an object to be lifted allowing for the predictive selection of appropriate grip forces. Fourteen patients with Parkinson's disease used a precision grip to lift two objects of different masses (400 and 600 g) in random order. In a "no cue" condition, a noninformative neutral visual stimulus was presented before each lift, thereby not allowing any judgement about which mass to be lifted. In a "cue" condition an arbitrary color cue provided advance information about which of the two masses patients would have to lift in the subsequent trial. Patients performed the conditions with either hand and by both on and off drugs. In the "no cue" trials patients scaled the predictive grip force output according to the perceived mass of the preceding lift. In the "cue" experiment patients scaled grip force in a predictive manner to mass based on the provided color cues. The ability of arbitrary visuomotor mapping was evident at either hand and not influenced by medication on/off. The precision of arbitrary visuomotor mapping correlated negatively with age, but not with disease duration, severity of motor disability on and off drug, severity of cognitive impairment on and off drug, or the amount of levodopa equivalent daily dosage of dopaminergic drugs. These data imply that Parkinson's disease does not preclude the ability of visuomotor mapping in the grip-lift task.

Gauge invariance of color confinement due to the dual Meissner effect caused by Abelian monopoles

The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. Firstly, the static quark-antiquark potential and force are computed with the Abelian and monopole Polyakov loop correlators, and the resulting string tensions are found to be identical to the non-Abelian string tension. These potentials also show the scaling behavior with respect to the change of lattice spacing. Secondly, the profile of the color-electric field between a quark and an antiquark is investigated with the Abelian and monopole Wilson loops. The color-electric field is squeezed into a flux tube due to monopole supercurrent with the same Abelian color direction. The parameters corresponding to the penetration and coherence lengths show the scaling behavior, and the ratio of these lengths, i.e, the Ginzburg-Landau parameter, indicates that the vacuum type is near the border of the type1 and type2 (dual) superconductor. These results are summarized that the Abelian fundamental charge defined in an arbitrary color direction is confined inside a hadronic state by the dual Meissner effect. As the color-neutral state in any Abelian color direction corresponds to the physical color-singlet state, this effect explains non-Abelian color confinement and supports the existence of a gauge-invariant mechanism of color confinement due to the dual Meissner effect caused by Abelian monopoles.

Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field

We solve renormalization group equation in QCD in the presence of SU(3) constant chromo-electric field E^a with arbitrary color index a=1,2,...8 and find that the QCD coupling constant \alpha_s depends on two independent casimir/gauge invariants C_1=[E^aE^a] and C_2=[d_{abc}E^aE^bE^c]^2 instead of one gauge invariant C_1=[E^aE^a]. The \beta function is derived from the one-loop effective action. This coupling constant may be useful to study hadron formation from color flux tubes/strings at high energy colliders and to study quark-gluon plasma formation at RHIC and LHC.

Color-symmetric superconductivity in a phenomenological QCD model

In this paper, we construct a theory of the NJL type where superconductivity is present, and yet the superconducting state remains, in the average, color symmetric. This shows that the present approach to color superconductivity is consistent with color singletness. Indeed, quarks are free in the deconfined phase, but the deconfined phase itself is believed to be a color singlet. The usual description of the color superconducting state violates color singletness. On the other hand, the color superconducting state here proposed is color symmetric in the sense that an arbitrary color rotation leads to an equivalent state, with precisely the same physical properties.

Vectorizing Cartoon Animations

We present a system for vectorizing 2D raster format cartoon animations. The output animations are visually flicker free, smaller in file size, and easy to edit. We identify decorative lines separately from colored regions. We use an accurate and semantically meaningful image decomposition algorithm, supporting an arbitrary color model for each region. To ensure temporal coherence in the output, we reconstruct a universal background for all frames and separately extract foreground regions. Simple user-assistance is required to complete the background. Each region and decorative line is vectorized and stored together with their motions from frame to frame. The contributions of this paper are: 1) the new trapped-ball segmentation method, which is fast, supports nonuniformly colored regions, and allows robust region segmentation even in the presence of imperfectly linked region edges, 2) the separate handling of decorative lines as special objects during image decomposition, avoiding results containing multiple short, thin oversegmented regions, and 3) extraction of a single patch-based background for all frames, which provides a basis for consistent, flicker-free animations.

Local and interweight spectra of completely regular codes and of perfect colorings

We introduce notions of local and interweight spectra of an arbitrary coloring of a Boolean cube, which generalize the notion of a weight spectrum. The main objects of our research are colorings that are called perfect. We establish an interrelation of local spectra of such a coloring in two orthogonal faces of a Boolean cube and study properties of the interweight spectrum. Based on this, we prove a new metric property of perfect colorings, namely, their strong distance invariance. As a consequence, we obtain an analogous property of an arbitrary completely regular code, which, together with his neighborhoods, forms a perfect coloring.

Path integration in QCD with arbitrary space-dependent static color potential

We perform path integral for a quark (antiquark) in the presence of an arbitrary space-dependent static color potential A^a_0(x)(=-\int dx E^a(x)) with arbitrary color index a=1,2,...8 in SU(3) and obtain an exact non-perturbative expression for the generating functional. We show that such a path integration is possible even if one can not solve the Dirac equation in the presence of arbitrary space-dependent potential. It may be possible to further explore this path integral technique to study non-perturbative bound state formation.

Predictive force programming in the grip-lift task in stroke patients: the role of memory links between arbitrary cues and object weight

Objective: It has been shown that healthy subjects are able to rapidly establish an association between an arbitrary sensory cue and a given mass to be lifted. The aim of this study was to test the ability of stroke patients to scale the grip force output in a predictive manner to the mass of an object to be lifted based on learned associations between arbitrary colour cues (ACC) and object masses.

Invariant color calculus and generalized Balitsky-Kovchegov hierarchy

We derive generalization of the Balitsky-Kovchegov (BK) equation for a dipole, which consists of a parton and an antiparton of arbitrary charge. At first, we develop one method of indexless transformation of color expressions. The method is based on an evaluation of the Casimir operator on a tensor product. From the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation, we derive the evolution equation for a single parton and prove gluon Reggeization in an arbitrary color channel. We show that there is a color duplication of such Regge poles. Higher t-channel color exchange has its own Regge pole, which residue is proportional to the quadratic Casimir. Taking a fundamental representation, we derive the usual BK equation and shed new light on the meaning of linear and nonlinear terms. Finally, we discuss a linearized version of the generalized BK equation.

Schwinger mechanism for gluon-pair production in the presence of arbitrary time-dependent chromo-electric field

We study Schwinger mechanism for gluon pair production in the presence of arbitrary time-dependent chromo-electric background field $E^a(t)$ with arbitrary color index $a$=1,2,...8 in SU(3) by directly evaluating the path integral. We obtain an exact expression for the probability of non-perturbative gluon pair production per unit time per unit volume and per unit transverse momentum $\frac{dW}{d^4x d^2p_T}$ from arbitrary $E^a(t)$. We show that the tadpole (or single gluon) effective action does not contribute to the non-perturbative gluon pair production rate $\frac{dW}{d^4x d^2p_T}$. We find that the exact result for non-perturbative gluon pair production is independent of all the time derivatives $\frac{d^nE^a(t)}{dt^n}$ where $n=1,2,....\infty$ and has the same functional dependence on two casimir invariants $[E^a(t)E^a(t)]$ and $[d_{abc}E^a(t)E^b(t)E^c(t)]^2$ as the constant chromo-electric field $E^a$ result with the replacement: $E^a \to E^a(t)$. This result may be relevant to study the production of a non-perturbative quark-gluon plasma at RHIC and LHC.

SHARPENING THE TIP OF THE RED GIANT BRANCH

We introduce a modified detection method for measuring the luminosity of the tip of the red giant branch (TRGB) by introducing the composite magnitude T = I - beta [(V-I)_o - 1.50], where beta is the slope of the tip magnitude as a function of color (or metallicity). The method is specifically designed to account for known systematics due to metallicity. In doing so, this simple transformation does away with arbitrary color selections in measuring the tip, and thereby significantly boosts the population of resolved stars that go into defining the TRGB distance. Moreover this method coincidentally reduces the impact of reddening on the true modulus as well as its final uncertainty.

Sidewalk following using color histograms

In this paper, we present the development of an algorithm for sidewalk following for a mobile robot. The algorithm classifies pixels of a video frame as either sidewalk or background. The classification of pixels is performed using color histograms of the hue and saturation of various areas of an image taken by an on-board camera. This color histogram approach allows the algorithm to detect and follow concrete paved areas of arbitrary shape and color. The development of the algorithm is performed using a robotics research platform developed by undergraduate students at Cal Poly State University, San Luis Obispo.

On Color Cluster Analysis with Three-dimensional Fuzzy Color Ball

The focus of this paper is on devising an efficient clustering task for arbitrary color data. In order to tackle this problem, the inherent uncertainty and vagueness of color are represented by a fuzzy color model. By taking a fuzzy approach to color representation, the proposed model makes a soft decision for the vague regions between neighboring colors. A definition on a three-dimensional fuzzy color ball is introduced, and the degree of membership of color is computed by employing a distance measure between a fuzzy color and color data. With the fuzzy color model, a novel fuzzy clustering algorithm for efficient partition of color data is developed.

What Is an Image?

What Is an Image?

1‐factorization of regular graphs by colour exchange

AbstractWe present a new general theory that deals with the problem of determining a 1‐factorization of a graph using only the elementary technique of colour exchange. Our work is inspired by an old question of Vizing, who in [Cybernetics 3 (1965) 32–41] asked whether an optimal edge colouring of any multigraph G can always be obtained from an arbitrary edge colouring of G by repeatedly exchanging colours along bicoloured chains and suppressing empty colour classes. We conjecture that the answer to Vizing's question is affirmative. We apply our theory to the class of regular graphs of even order at most 10, proving the validity of this conjecture for this class of graphs. This yields an algorithm for finding a 1‐factorization of any 1‐factorizable graph of order at most 10. We also formulate two (stronger) conjectures and prove that they hold for the same class of graphs. Our method can be extended to graphs of larger order and to non‐regular graphs or multigraphs.

Gauge-independent Abelian mechanism of color confinement in gluodynamics

Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge fixing. Then we decompose the Abelian field into regular photon and singular monopole parts using the Hodge decomposition. We find that only the monopole part is responsible for the string tension. The investigation of the flux-tube profile then shows that an Abelian electric field defined in an arbitrary color direction is squeezed by the monopole supercurrent with the same color direction, and the quantitative features of flux squeezing are consistent with those observed previously after Abelian projections with gauge fixing. Non-Abelian color confinement is explained in the framework of the gauge-independent Abelian dual Meissner effect.

Large Monochromatic Components in Two-Colored Grids

Let $D^d_n$ denote the d-dimensional grid with diagonals, that is, the graph with vertex set $\{1,2,\ldots,n\}^d$ and with edges connecting every two vertices that differ by at most 1 in every coordinate. We prove that for an arbitrary coloring of the vertices of $D^d_n$ by two colors there exists a monochromatic connected subgraph with at least $n^{d-1}-d^2n^{d-2}$ vertices; and thus the “horizontal layer” coloring (by the parity of the first coordinate) is almost optimal. We also consider a d-dimensional triangulated grid; this is the graph (1-skeleton) of a triangulation of the solid cube $[1,n]^d$ that refines the subdivision of $[1,n]^d$ into the grid of unit cubes. Here every two-coloring has a monochromatic connected subgraph with $\Omega(n^{d-1}/\sqrt d)$ vertices. These results are proved by combining combinatorial and topological arguments with suitable isoperimetric inequalities, and they can be viewed as d-dimensional generalizations of the planar HEX lemma.

Projector-Based Augmented Reality for Intuitive Intraoperative Guidance in Image-Guided 3D Interstitial Brachytherapy

The aim of this study is to implement augmented reality in real-time image-guided interstitial brachytherapy to allow an intuitive real-time intraoperative orientation. The developed system consists of a common video projector, two high-resolution charge coupled device cameras, and an off-the-shelf notebook. The projector was used as a scanning device by projecting coded-light patterns to register the patient and superimpose the operating field with planning data and additional information in arbitrary colors. Subsequent movements of the nonfixed patient were detected by means of stereoscopically tracking passive markers attached to the patient. In a first clinical study, we evaluated the whole process chain from image acquisition to data projection and determined overall accuracy with 10 patients undergoing implantation. The described method enabled the surgeon to visualize planning data on top of any preoperatively segmented and triangulated surface (skin) with direct line of sight during the operation. Furthermore, the tracking system allowed dynamic adjustment of the data to the patient's current position and therefore eliminated the need for rigid fixation. Because of soft-part displacement, we obtained an average deviation of 1.1 mm by moving the patient, whereas changing the projector's position resulted in an average deviation of 0.9 mm. Mean deviation of all needles of an implant was 1.4 mm (range, 0.3-2.7 mm). The developed low-cost augmented-reality system proved to be accurate and feasible in interstitial brachytherapy. The system meets clinical demands and enables intuitive real-time intraoperative orientation and monitoring of needle implantation.