We present a new approach to finding ray–patch intersections with triangular Bernstein–Bézier patches of arbitrary degree. This paper extends and complements on the short presentation 17. Unlike a previous approach which was based on a combination of hierarchical subdivision and a Newton–like iteration scheme 21, this work adapts the concept of Bézier clipping to the triangular domain. The prob...

Wachspress quadrilateral patches have been recently studied from the point of view of applications to surface modelling in CAGD [1], [3], [4]. Some more applications for defining barycentric coordinates for arbitrary polygons have also been presented in [5] [9]. The purpose of the present paper is to introduce non-negative Wachspress rational basis functions for surface modelling on pentagonal ...

SUMMARY Solving boundary value problems with optimal eeciency requires adaptivity and multilevel techniques. In 7] an implementation of the AFACx algorithm (cf. 9]) is presented that is based on rectangular cartesian grids. This implementation does not allow for overlap of grids that lie on the same level of reenement. We investigate the case where these grids can overlap. A standard technique ...

background: recurrent aphthous stomatitis (ras) is the most common painful ulcers of oral mucosal which can cause many sufferings. treatment of ras often includes administration of corticosteroids, analgesics and regulators of the immune system. however, considering the side effects of these medications, even their topical application must be done with caution. alum is used in traditional medic...

Mashhad City, according to the latest official statistics of the country is the second populated city after Tehran and is the biggest metropolis in the east of Iran. Considering the rapid growth of the population over the last three decades, the city’s development area has been extended, significantly. This significant expansion has impacted natural lands on suburb and even some parts e.g. rang...

Visual Attention Prediction (VAP) is a significant and imperative issue in the field of computer vision. Most existing VAP methods are based on deep learning. However, they do not fully take advantage low-level contrast features while generating visual attention map. In this paper, novel method proposed to generate map via bio-inspired representation The learning combines both high-level semant...

T H E entry of more than one sperm into the egg of the honey bee at fertilization IS normal. A zygote is formed by the fusion of the pronucleus of one of the sperm with that of the egg; the pronuclei from the accessory sperm undergo abortive division and then disintegrate after the second cleavage of the zygote ( NACHTSHEIM 191 3) . Fertilized eggs, with certain exceptions (MACKENSEN 1951; ROTH...

We investigate surfaces which interpolate given boundary curves. We show that the discrete bilinearly blended Coons patch can be defined as the solution of a linear system. With the goal of producing better shape than the Coons patch, this idea is generalized, resulting in a new method based on a blend of variational principles. We show that no single blend of variational principles can produce...

Biometrics authentication o,ers many advantages over conventional authentication systems that rely on possessions or special knowledge. With conventional technology, often the mere possession of an employee ID card is proof of ID, while a password potentially can be used by large groups of colleagues for long times without change. The fact that biometrics authentication is non-repudiable (hard ...