We present a new box spline wavelet frame and apply it for image edge analysis. The wavelet frame is tight and constructed based on a box spline of eight directions which is seldom used for application before. Due to the eight different directions, it can find edges of various types in detail quite well. In addition to step edges (local discontinuities in intensity), it is able to locate Dirac ...

The edge detour index polynomials were recently introduced for computing the edge detour indices. In this paper we find relations among edge detour polynomials for the 2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.

In this paper, we study both concepts of geodetic dominatingand edge geodetic dominating sets and derive some tight upper bounds onthe edge geodetic and the edge geodetic domination numbers. We also obtainattainable upper bounds on the maximum number of elements in a partitionof a vertex set of a connected graph into geodetic sets, edge geodetic sets,geodetic domin...

In a previous paper by Ryan and Shu [Ryan, J. K., and Shu, C.-W. (2003). Methods Appl. Anal. 10(2), 295–307], a one-sided post-processing technique for the discontinuous Galerkin method was introduced for reconstructing solutions near computational boundaries and discontinuities in the boundaries, as well as for changes in mesh size. This technique requires prior knowledge of the discontinuity ...

Evidence for a structural phase transition from rutile -CrO2 phase I P42/mnm to orthorhombic -CrO2 phase II CaCl2-like, Pnnm is presented using angle-resolved synchrotron x-ray diffraction and highsensitivity confocal Raman spectroscopy. The transition to the CaCl2 structure, which appears to be second order, occurs at 12±3 GPa without any measurable discontinuity in volume, but is accompanied ...

In seismic images, the opaque oscillatory nature of the ever present sedimentary layers often hide the boundaries between sedimentary packages, such as faults or river channels. Interpreters painstakingly identify these boundaries by inspecting individual planes of the image volume. Discontinuity attribute maps computed from image volumes depict these boundaries and greatly simplify and acceler...

The estimation of optical flow fields from image sequences is incorporated in a Mumford–Shah approach for image denoising and edge detection. Possibly noisy image sequences are considered as input and a piecewise smooth image intensity, a piecewise smooth motion field, and a joint discontinuity set are obtained as minimizers of the functional. The method simultaneously detects image edges and m...

 Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...

One of the locations of renal artery atherosclerosis is at the orifice of the renal artery, therefore thestructure of this orifice was assessed in 6 normal, adult male dogs by light microscopy (LM) andtransmission electron microscopy (TEM). For the LM study, processed tissues were embedded in paraffinand sectioned serially into 6-μm thickness. Sections were stained with orcein. For the TEM stud...

Following Aristotle, Averroes rejects atomism and the infinite division of geometric lines. Thus, his arguments dealt with continuity contiguity non-atomic parts motion. He vindicates perceptual aspect physical movement that shows itself like in-progress-path between two edge points A B, in which there are middle where qualitative, local, or quantitative changes occur. Ramon Llull took lines’ g...