Regular and non-regular point sets: Properties and reconstruction

Regular and non-regular point sets: Properties and reconstruction

In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants, which are polygonal approximations of curves and surfaces satisfying a new regularity condition. This new condition, which is an extension of the popular notion of r-sampling to the practical case of discrete shapes, seems much more realistic than previously proposed...

Curve and Surface Reconstruction from Regular and Non-Regular Point Sets

In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants which are polygonal approximations of planar curves and surfaces verifying a local sampling criterion. Properties of regular interpolants lead to new polygonal reconstruction methods from sets of organized and unorganized points. These methods do not need any paramete...

Concerning Connected and Regular Point Sets

In this paper an extension will be given of a theorem of the author'sf which states that if A and B are any two points of a continuous curve M, and K denotes the set of all those points of M which separate} A and B in M, then K+A+B is a closed set of points. I t will be shown that if A and B are any two points of any connected and regular (connected im kleinen) point set M, and K denotes the se...

Non-regular fixed-point logics and games

Assessment of the prevalence of non-alcoholic fatty liver disease in regular and non-regular blood and plasma donors

Abstract Background and Objectives Non-alcoholic liver disease (NAFLD) is a spectrum of diseases, ranging from non-alcoholic fatty liver (NAFL) to non-alcoholic steatohepatitis (NASH) which can lead to liver cirrhosis and hepatocellular carcinoma. Nonalchololic fatty liver  is the most prevalent hepatic disorder worldwide which can affect up to the one out of four adults. Little is known about...