safety and failure in gas pipelines are very important in gas and petroleum industry. for this reason, it is important to study the effect of different parameters in order to reach the maximum safety in design and application. in this paper, a three dimensional finite element analysis is carried out to study the effect of crack length, crack depth, crack position, internal pressure and pipe thi...

Total Generalized Variation (TGV) regularization in image reconstruction relies on an infimal convolution type combination of generalized first- and second-order derivatives. This helps to avoid the staircasing effect (TV) regularization, while still preserving sharp contrasts images. The associated crucially hinges two parameters whose proper adjustment represents a challenging task. In this w...

One of the biggest challenges in characterizing 2-D image topographies is finding a low-dimensional parameter set that can succinctly describe, not so much patterns themselves, but nature these patterns. The cluster variation method (CVM), introduced by Kikuchi 1951, characterize very local pattern distributions using configuration variables, identifying nearest-neighbor, next-nearest-neighbor,...