Consider a polygon P and all neighboring circles (circles going through three consecutive vertices of P ). We say that a neighboring circle is extremal if it is empty (no vertices of P inside) or full (no vertices of P outside). It is well known that for any convex polygon there exist at least two empty and at least two full circles, i.e. at least four extremal circles. In 1990 Schatteman consi...

Skinning of an ordered set of discrete circles is discussed in this paper. By skinning we mean the geometric construction of two G1 continuous curves touching each of the circles at a point, separately. After precisely defining the admissible configuration of initial circles and the desired geometric properties of the skin, we construct the future touching points and tangents of the skin by app...

In this paper, we discuss a method for representing and matching planar curves. The technique is based on using calculations from concentric circles to represent each curve by two sets of angles. The angles are defined by vectors constructed from the center point of the circles and the points on the curve trace that intersect each circle. The circles have incrementally increasing radii represen...

Attributes (E-SEGNA) Govardana Sachithanandam Ramachandran Abstract Major social network sites such as Facebook, Twitter & Google+ offer manual classification of friends in the form of List or Circle. With average node degree on these site increasing & with user’s temporal interest evolves the manual classification & re-classification of users become laborious. The project baselines the effecti...

A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex is obtained by taking a projective-planar signed graph or a copy of −K5 and then taking 1, 2, and 3-sums with balanced signed graphs.

During a survey of freshwater fishes from Turkey two species of Acanthocephala, one of them new, were found. Pomphorhynchus tereticollis (Pomphorhynchidae) is reported at 24% prevalence in 37 Cobitis bilseli (Cobitidae) from Lake Beysehir, Konya, for the first time. The eoacanthoacaphalan Triaspiron aphanii gen. n. et sp. n. (Quadrigyridae), at a prevalence of 90%, is described from 29 Aphanius...

purpose: to compare anterior segment and ocular biometric parameters of unaffected fellow eyes of patients with a previous attack of acute angle closure (aac), primary angle closure suspect (pacs) eyes, and normal eyes; and to assess the risk of developing aac in pacs. methods: in this prospective comparative observational case series, 16 unaffected fellow eyes of patients with a previous attac...

We propose two new heuristics to pack unequal circles into a two dimensional circular container. The first one, denoted by A1.0, is a basic heurisitc which selects the next circle to place according to the maximal hole degree rule. The second one, denoted by A1.5, uses a self lookahead strategy to improve A1.0. We evaluate A1.0 and A1.5 on a series of instances up to 100 circles from the litera...

The two-dimensional stage paradigm (2DSP) has been suggested as an alternative audio mixing interface (AMI). This study seeks to refine the 2DSP by formally evaluating graphical track visualisation styles. Track visualisations considered were text only, circles containing text, individually coloured circles containing text, circles colour coded by instrument type with text, icons with text supe...