Trifocal Relative Pose From Lines at Points.

We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of (i) three points and one line and the novel case of (ii) three points and two lines through two of the points. These problems are too difficult to be efficiently solved by the state of the art Gröbner basis methods. Our method is based on a new efficient homotopy continuation (HC) solver framework MINUS, which dramatically speeds up previous HC solving by specializing hc methods to generic cases of our problems.

Biological information analysis of differentially expressed genes in oral squamous cell carcinoma tissues in GEO database.

Purpose: This study aimed to detect the differentially expressed genes between oral squamous cell carcinoma (OSCC) tissues and adjacent normal tissues, and perform pathway analysis and protein-protein interaction (PPI) analysis on differentially expressed genes (DEGs).

Methods: Gene Expression Omnibus (GEO) database related to human tumors was selected from the National Center for Biotechnology Information (NCBI), and GSE31056 and GSE3524, two microarrays containing OSCC gene expression data, were extracted from it. Analysis of differentially expressed genes in the two microarrays was performed using "R" software, and the volcanic map was drawn.

Effect of lubricant on the reliability of dental implant abutment screw joint: An in vitro laboratory and three-dimension finite element analysis.

Biomechanical factors play a key role in the success of dental implants. Fracture and loosening of abutment screws are major issues. This study investigated the effect of lubricants on the stability of dental implant-abutment connection.

Simple, Selective and Sensitive Determination of CH₃Hg⁺ Using Gold Nanocluster.

Mercury is a potent neurotoxin, which causes serious and permanent damage to biota including human beings. Nanomaterials like gold have been used to detect mercury, especially the mercuric ions in recent years, but few have been done on the determination of methylmercury (CH₃Hg⁺). In this study, we present a simple, selective and sensitive method for the determination of CH₃Hg⁺ co-existing with Hg²⁺ based on the fluorescence quenching of bovine serum albumin (BSA) stabilized gold nanoclusters (BSA-Au NCs).

Mechanical stretch endows mesenchymal stem cells stronger angiogenic and anti-apoptotic capacities via NFκB activation.

Mesenchymal stem cells (MSCs) have been broadly used for tissue regeneration and repair due to their broad differentiation potential and potent paracrine properties such as angiogenic capacity. Strategies to increase their survival rate after transplantation and the angiogenic ability are of priority for the utility of MSCs. In this study, we found that mechanical stretch (10% extension, 30 cycles/min cyclic stretch) preconditioning increase the angiogenic capacity via VEGFA induction.

Involvement of PI3K/Akt pathway in rat condylar chondrocytes regulated by PTHrP treatment.

Objective: The aim of this study was to explore the mutual communication of the parathyroid hormone-related peptide (PTHrP) and phosphatidylinositol 3-kinase/threonine protein kinase (PI3K/Akt) pathway on the proliferation and differentiation of condylar chondrocytes from Sprague-Dawley (SD) rats.

Methods: Condylar chondrocytes from the condylar cartilage were cultured and an organ culture system of mandibular condyles was employed. The distribution of PI3K, phospho-Akt (p-Akt), and PTHrP in condylar cartilage was detected by either immunohistochemistry or immunofluorescence.

New complex integration transformation and its compatibility with complex Weyl-Wigner transformation and entangled state representation.

Enlightened by the special transformation in our preceding paper [J. Mod. Opt.

Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics.

The symplectic wavelet transform, which is related to the quantum optical Fresnel transform, is developed to the symplectic-dilation mixed wavelet transform (SDWT). The SDWT involves both a real-variable dilation-transform and a complex-variable symplectic transform and possesses well-behaved properties such as the Parseval theorem and the inversion formula. The entangled-coherent state representation not only underlies the SDWT but also helps to derive the corresponding quantum transform operator whose counterpart in classical optics is the lens-Fresnel mixed transform.

Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics.

We employ the recently established basis (the two-variable Hermite-Gaussian function) of the generalized Bargmann space (BGBS) [Phys. Lett. A303, 311 (2002)] to study the generalized form of the fractional Fourier transform (FRFT).

Two quantum-mechanical photocount formulas.

We derive two quantum-mechanical photocount formulas when a light field's density operator rho is known; one involves rho's coherent state mean value and the other involves rho's Wigner function; when this information is known, then using these two formulas to calculate the photocount would be convenient. We employ the technique of integration within an antinormally ordered (or Weyl-ordered) product of operators in our derivation.

Explicit state vector for Torres-Vega-Frederick phase space representation and its statistical behavior.

We find the explicit state vector for Torres-Vega-Frederick phase space representation [Go. Torres-Vega and J. H.

Entangled symplectic wavelet transformation.

The symplectic wavelet transformation proposed in Opt. Lett. 31, 3432 (2006), which is related to the optical Fresnel transform in the quantum optics version, is developed into an entangled symplectic wavelet transformation (ESWT) after pointing out the contrast between the single-mode Fresnel operator and the entangled Fresnel operator.

Mother wavelets for complex wavelet transform derived by Einstein-Podolsky-Rosen entangled state representation.

The Einstein-Podolsky-Rosen entangled state representation is applied to studying the admissibility condition of mother wavelets for complex wavelet transforms, which leads to a family of new mother wavelets. Mother wavelets thus are classified as the Hermite-Gaussian type for real wavelet transforms and the Laguerre-Gaussian type for the complex case.

Symplectic wavelet transformation.

Usually a wavelet transform is based on dilated-translated wavelets. We propose a symplectic-transformed-translated wavelet family psi(*)(r,s)(z-kappa) (r,s are the symplectic transform parameters, |s|(2)-|r|(2)=1, kappa is a translation parameter) generated from the mother wavelet psi and the corresponding wavelet transformation W(psi)f(r,s;kappa)=integral(infinity)(-infinity)(d(2)z/pi)f(z)psi(*)(r,s)(z-kappa). This new transform possesses well-behaved properties and is related to the optical Fresnel transform in quantum mechanical version.

Collins diffraction formula studied in quantum optics.

We find that the Collins diffraction formula in cylindrical coordinates is just the transformation matrix element of a three-parameter two-mode squeezing operator in the deduced entangled state representation. This is a new tie connecting the unitary transform in quantum optics to the generalized Hankel transform in Fourier optics. The group multiplication rule of the squeezing operators maps to the Collins formula related to two successive Hankel transforms.

General formula for finding mother wavelets by virtue of Dirac's representation theory and the coherent state.

The admissibility condition of a mother wavelet is explored in the context of quantum optics theory. By virtue of Dirac's representation theory and the coherent state property we derive a general formula for finding qualified mother wavelets. A comparison between a wavelet transform computed with the newly found mother wavelet and one computed with a Mexican hat wavelet is presented.

Talbot effect in a quadratic-index medium studied with two-variable Hermite polynomials and entangled states.

We have found the new eigenmodes, two-variable Hermite polynomials, exist in propagating plane waves in quadratic-index media and that a two-dimensional Talbot effect can be demonstrated with these modes.

Fractional Hankel transform studied by charge-amplitude state representations and complex fractional Fourier transformation.

Starting from a complex fractional Fourier transformation [Opt. Lett. 28, 680 (2003)], it is shown that the integral kernel of a fractional Hankel transformation is equivalent to the matrix element of an appropriate operator in the charge-amplitude state representations; i.

Eigenmodes of fractional Hankel transform derived by the entangled-state method.

Using the entangled-state method in quantum mechanics, we find that the eigenmodes of the fractional Hankel transform are two-variable Hermite-Gaussian functions that can be rewritten in a clearer form as Laguerre polynominals.