ORGB: Offset Correction in RGB Color Space for Illumination-Robust Image Processing

Single materials have colors which form straight lines in RGB space. However, in severe shadow cases, those lines do not intersect the origin, which is inconsistent with the description of most literature. This paper is concerned with the detection and correction of the offset between the intersection and origin. First, we analyze the reason for forming that offset via an optical imaging model. Second, we present a simple and effective way to detect and remove the offset. The resulting images, named ORGB, have almost the same appearance as the original RGB images while are more illumination-robust for color space conversion. Besides, image processing using ORGB instead of RGB is free from the interference of shadows. Finally, the proposed offset correction method is applied to road detection task, improving the performance both in quantitative and qualitative evaluations.Comment: Project website: https://baidut.github.io/ORGB

Carbon Monoxide Oxidation Promoted by Surface Polarization Charges in a CuO/Ag Hybrid Catalyst.

Composite structures have been widely utilized to improve material performance. Here we report a semiconductor-metal hybrid structure (CuO/Ag) for CO oxidation that possesses very promising activity. Our first-principles calculations demonstrate that the significant improvement in this system's catalytic performance mainly comes from the polarized charge injection that results from the Schottky barrier formed at the CuO/Ag interface due to the work function differential there. Moreover, we propose a synergistic mechanism underlying the recovery process of this catalyst, which could significantly promote the recovery of oxygen vacancy created via the M-vK mechanism. These findings provide a new strategy for designing high performance heterogeneous catalysts

Investigation of swirl pipe for improving cleaning efficiency in closed processing system

This thesis provides unique insights into the fundamentals of improving the efficiency of ‘Clean-In-Place’ procedures in closed processing systems by locally introducing intensified hydrodynamic force from swirl flows induced by an optimised four-lobed swirl pipe without increasing the overall flow velocities. The studies, carried out employing Computational Fluid Dynamics (CFD) techniques, pressure transmitters and a fast response Constant Temperature Anemometer (CTA) system, covered further optimisation of the four-lobed swirl pipe, RANS-based modelling and Large Eddy Simulation of the swirl flows, and experimental validation of the CFD models through the measurements of pressure drop and wall shear stress in swirl flows with various Reynolds Number. The computational and experimental work showed that the swirl pipe gives rise to a clear increase of mean wall shear stress to the downstream with its value and variation trend being dependent on swirl intensity. Moreover, it promotes a stronger fluctuation rate of wall shear stress to the downstream especially further downstream where swirl effect is less dominant. As the increase of either the mean or the fluctuation rates of wall shear stress contributes to the improvement of CIP procedures in the closed processing systems. This thesis demonstrates that, with the ability to exert strengthened hydrodynamic force to the internal surface of the pipe downstream of it without increasing the overall flow velocity, the introduction of swirl pipe to the CIP procedures should improve the cleaning efficiency in the closed processing systems, consequently shortening the downtime for cleaning, and reducing the costs for chemicals and power energy

The Method of Moving spheres on Hyperbolic Space and Symmetry of Solutions to a Class of PDEs

The classification of solutions of semilinear partial differential equations, as well as the classification of critical points of the corresponding functionals, have wide applications in the study of partial differential equations and differential geometry. The classical moving plane method and the moving sphere method on $\mathbb{R}^n$ provide an effective approach to capturing the symmetry of solutions. As far as we know, the moving sphere method has yet to be developed on the hyperbolic space $\mathbb{H}^n$. In the present paper, we focus on the following equation \begin{equation*} P_k u = f(u) \end{equation*} on hyperbolic spaces $\mathbb{H}^n$, where $P_k$ denotes the GJMS operators on $\mathbb{H}^n$ and $f : \mathbb{R} \to \mathbb{R}$ satisfies certain growth conditions. We develop a moving sphere approach for integral equations on $\mathbb{H}^n$, to obtain the symmetry property as well as a characterization result towards positive solutions. Our methods also rely on Helgason-Fourier analysis and Hardy-Littlewood-Sobolev inequalities on hyperbolic spaces together with a Kelvin transform we introduce on $\mathbb{H}^n$ in this paper.Comment: Some references are added and typos fixe

A Polynomial-Time Algorithm for MCS Partial Search Order on Chordal Graphs

We study the partial search order problem (PSOP) proposed recently by Scheffler [WG 2022]. Given a graph $G$ together with a partial order over the vertices of $G$, this problem determines if there is an $\mathcal{S}$-ordering that is consistent with the given partial order, where $\mathcal{S}$ is a graph search paradigm like BFS, DFS, etc. This problem naturally generalizes the end-vertex problem which has received much attention over the past few years. It also generalizes the so-called ${\mathcal{F}}$-tree recognition problem which has just been studied in the literature recently. Our main contribution is a polynomial-time dynamic programming algorithm for the PSOP on chordal graphs with respect to the maximum cardinality search (MCS). This resolves one of the most intriguing open questions left in the work of Sheffler [WG 2022]. To obtain our result, we propose the notion of layer structure and study numerous related structural properties which might be of independent interest.Comment: 12 page