We consider the minimization of an average-distance functional defined on a two-dimensional domain $\\Omega$ with Euler elastica penalization associated $\\partial\\Omega$, boundary $\\Omega$. The average distance is given by $$ \\int\_{\\Omega}\\operatorname{dist}^p(x,\\partial\\Omega)\\operatorname{d}x, where $p\\geq 1$ parameter and $\\operatorname{dist}(x,\\partial\\Omega)$ Hausdorff betwee...

Models related to the Euler's elastica energy have proven be useful for many applications including image processing. Extending models color images and multichannel data is a challenging task, as stable consistent numerical solvers these geometric often involve high order derivatives. Like single channel model total variation models, measures that derivatives could help when considering formati...

A60-year-old man was referred for coronary angiography because of exertional angina (Canadian Cardiovascular Society angina classification type II). Twelve years earlier, he had had a myocardial infarction with a venous bypass graft to the right coronary artery. Two months before we saw him, a stent (Figure 1A) was placed in the distal part of the venous graft because of stable angina. Angiogra...

Androdioecy is a rare sexual system in nature, as predicted theoretically. Among the androecious species reported so far, Castilla elastica (Moraceae) is unique in that flowers are unisexual and staminate and pistillate flowers on cosexual plants are produced on different inflorescences. In addition, inflorescence structure of staminate inflorescences on males and staminate and pistillate inflo...

A stochastic numerical scheme for an extended immersed boundary method which incorporates thermal fluctuations for the simulation of microscopic biological systems consisting of fluid and immersed elastica was introduced in (1). The numerical scheme uses techniques from stochastic calculus to overcome stability and accuracy issues associated with standard finite difference methods. The numerica...

Background: The recovery of phenolic compounds is seen as an arduous task because are available free aglycones, sugar or ester conjugates, polymers with several monomeric components. Furthermore, do not disperse evenly and may be connected to cell walls, carbohydrates, proteins. This study looks at the optimization factors that affect efficiency for extraction from s...