Classical dissections convert any planar polygonal region onto any other polygonal region having the same area. If two convex polygonal regions are isoparametric, that is, have equal areas and equal perimeters, our main result states that there is always a dissection, called a complete dissection, that converts not only the regions but also their boundaries onto one another. The proof is constr...

This paper is an overview of recent developments in the construction of finite element interpolants, which are C-conforming on polygonal domains. In 1975, Wachspress proposed a general method for constructing finite element shape functions on convex polygons. Only recently has renewed interest in such interpolants surfaced in various disciplines including: geometric modeling, computer graphics,...

We propose a new polygonal approximation method for soft objects. While the conventional polygonization methods decompose space into small-sized cells and compute many pieces of polygons for the cells, this new method polygonizes a soft object by smoothing an initial polygonal approximation using subdivision surface schemes. The initial polygonal approximation is generated by the union of the p...

background: rupture into the biliary ducts is the most frequent complication of hydatid liver disease. in endemic areas of echinococcus granulosus, development of jaundice in a patient with liver cyst is initially suspected to have hydatid cyst. case presentation: a 48 year-old woman with history of asymptomatic hydatid liver cysts was admitted to the emergency department with right upper quadr...

MR cholangiopancreatography (MRCP) is an imaging technique that has evolved over the past 2 decades and that continues to have a fundamental role in the non-invasive detection of morphologic features of the pancreatic ducts. In several studies, MRCP has shown a good correlation with endoscopic retrograde cholangiopancreatography in the evaluation of diseases and anatomic variants of the pancrea...

Conspicuous and visually unpleasant polygonal silhouettes are often produced when rendering a polyhedral approximation (i.e. a polygonal mesh) of a smooth surface model, regardless whatever shading method is used to improve the appearance of the interior region. We present in this paper a technique for displaying a coarse polygonal mesh with smooth silhouette. Unlike other existing methods that...

2014 Polygonal defect arrays in lipid liquid crystals prepared from dipalmitoyl-, dimyristoyl-, and dilaurylphosphatidylcholine with various concentrations of water have been observed and characterized using optical microscopy. These arrays appear similar to the polygonal arrays previously observed in thermotropic smectic and cholesteric liquid crystals. The parabolic focal conic model proposed...

The transitional epithelium lining the ducts of various glands such as salivary and mammary glands, and organs such as liver, pancreas, kidney and lung must bear a permeability barrier as they are in direct contact with the hostile environment in the lumen. The barrier function of pancreatic ductal epithelium is essential for preventing the back flux of proteases, lipases and DNAases from the p...