Medical images are noisy images and its processing is a complex one. The boundary detection of aortas in cardiovascular Magnetic Resonance (MR) images is difficult. This paper presents a vector image and edge map based boundary detection of aortas in cardiovascular MR images and is implemented using MATLAB. The performance of the edge vector and edge map boundary detection method for detecting ...

We study the impedance boundary map (or Robin-to-Robin map) for the Schrödinger equation in open bounded demain at fixed energy in multidimensions. At least, in dimension d ≥ 3, we give global stability estimates for determining potential from these boundary data and, as corollary, from the Cauchy data set. Our results include also, in particular, an extension of the Alessandrini identity to th...

For any Thurston map with exactly four postcritical points, we present an algorithm to compute the Weil-Petersson boundary values of the corresponding Thurston pullback map. This procedure is carried out for the Thurston map f(z) = 3z 2 2z3+1 originally studied by Buff, et al. The dynamics of this boundary map are investigated and used to solve the analogue of Hubbard’s Twisted Rabbit problem f...

The traditional map labeling problems are mostly NP-hard. Hence, effective heuristics and approximations have been developed in the past. Recently, efficient algorithms for the so-called boundary labeling model have been introduced which assumes that the labels are placed on the boundary of the map and connected by polygonal leaders to their corresponding sites. Internal labels have been forbid...