We aim at finding the reversal of radial SLE and proving the reversibility of wholeplane SLE. For this purpose, we define annulus SLE(κ,Λ) processes in doubly connected domains with one marked boundary point. We derive some partial differential equation for Λ, which is sufficient for the annulus SLE(κ,Λ) process to satisfy commutation relation. If Λ satisfies this PDE, then using a coupling tec...

radial polydactyly, the most common digital duplication in asian and white populations, has a wide range of manifestations. its classification is useful for planning and assessing surgical treatment. our patient had four thumbs, duplicated radial carpal bones, and a bifurcated radius. this presentation is not covered by any of the current classifications. to the best of our knowledge, this is t...

Problem statement: The shape-based logo recognition systems have been developed to automate the logo registration process. The logo recognition operation faces many challenges such as having to recognize logos that might be scaled, rotated, translated and added with noises. Different types of logo’s shapes further add to the complex nature of this problem. Approach: We developed a logo recognit...

AD Axial diffusivity ADC Apparent diffusion coefficient ADHD Attention deficit hyperactivity disorder BET Brain extraction tool CSF Cerebrospinal fluid DKI Diffusion kurtosis imaging DTI Diffusion tensor imaging DWI Diffusion-weighted imaging FA Fractional anisotropy MD Trace, mean diffusivity MRI Magnetic resonance imaging RD Radial diffusivity ROI Region of interest TBSS Tract-based spatial s...

The time-dependent radiative transport equation is solved for the three-dimensional spatially uniform infinite medium which is illuminated by a point unidirectional source using a spherical harmonics transform under rotation. Apart from the numerical evaluation of a spherical Hankel transform which connects the spatial distance with the radial distance in Fourier space, the dependence on all va...

The fractional Fourier transform is a mathematical operation that generalizes the well-known Fourier transform. This operation has been shown to have physical and optical fundamental meanings, and it has been experimentally implemented by relatively simple optical setups. Based on the fractional Fourier-transform operation, a new space-frequency chart definition is introduced. By the applicatio...

We present a numerical study of the resolution power of Padé Approximations to the Z-transform, compared to the Fourier transform. As signals are represented as isolated poles of the Padé Approximant to the Z-transform, resolution depends on the relative position of signal poles in the complex plane i.e. not only the difference in frequency (separation in angular position) but also the differen...

In this paper, polar and spherical Fourier Analysis are defined as the decomposition of a function in terms of eigenfunctions of the Laplacian with the eigenfunctions being separable in the corresponding coordinates. Each eigenfunction represents a basic pattern with the wavenumber indicating the scale. The proposed transforms provide an effective radial decomposition in addition to the well-kn...

We present a real-time approach for circular and polygonal road signs detection in still images, regardless of their pose and orientation. Object detection is done using a pairwise gradient-based symmetry transform able to detect circles and polygons indistinctly. This symmetry transform of gradient orientation, the so-called Bilateral Chinese Transform BCT, decomposes an object into a set of p...

Following and expanding upon the philosophy set down by Cousot and Cousot, this tutorial paper uses stepwise abstract interpretation to transform a system’s naive trace-set semantics into a format that is readily analyzable by temporal logic. The abstraction interpretations first transform a concrete trace-set semantics, where the traces are characterized by a state-transition relation, into an...