Some Characteristic behavior of the T e (Atluri, Nishioka and Nakagaki (1984)) is identi®ed in this paper through an extensive numerical study. T e is a near tip contour integral and has been known to measure the magnitude of singular deformation ®eld at crack tip for arbitrary material models. In this paper, T e is found to behave quite differently for different choices of near tip integral co...

The numerical contour integral method with hyperbolic contour is exploited to solve space-fractional diffusion equations. By making use of the Toeplitzlike structure of spatial discretized matrices and the relevant properties, the regions that the spectra of resulting matrices lie in are derived. The resolvent norms of the resulting matrices are also shown to be bounded outside of the regions. ...

Previous available results for the probability of outage with multiple Nakagami interferers with non-integer fading parameters have been derived using the characteristic function approach. This was done by converting an improper real integral, whose integrand has a singularity at the origin, to a contour integral, which was then evaluated using the method of residues. However, the method is mat...

In contour milling, to render the machining process more automated with significant productivity without remaining material after machining, a new recovery coefficient was developed. The coefficient was inserted in the computation of contour parallel tool paths to fix the radial depth of cut in the way to ensure an optimized overlap area between the passes in the corners, without residuals. Thu...

We present an approach for modeling and filtering digitally scanned images. The digital contour of an image is segmented to identify the linear segments, the nonlinear segments and critical corners. The nonlinear segments are modeled by B-splines. To remove the contour noise, we propose a weighted least q m s model to account for both the fitness of the splines as well as their approximate cur...

Object matching has many potential applications in industry, defense and medical science. Most matching methods introduced in recent years are based on the invariant representations. Main invariants applied in computer vision are algebraic, differential invariants and integral invariants. Our approach in this paper uses an affine integral invariant within a Spiral Architecture. The invariant re...

In this paper, we will present a new method for evaluating high order divided differences for certain classes of analytic, possibly, operator values functions. This is a classical problem in numerical mathematics but also arises in new applications such as, e.g., the use of generalized convolution quadrature to solve retarded potential integral equations. The functions which we will consider ar...

In the present paper electrodynamics analysis of planar passive components has been carried out using an efficient contour integral approach in conjunction with segmentation technique. Analysis of various tapers viz; linear, exponential, triangular and Klopfenstein has been carried out for validation of the theory developed.

Contour Crafting is an emerging technology that uses robotics to construct free form building structures by repeatedly laying down layers of material such as concrete. The Contour Crafting technology scales up automated additive fabrication from building small industrial parts to constructing buildings. Tool path planning and optimization for Contour Crafting benefit the technology by increasin...