AIMS To observe the vascular pattern of the peripapillary circle of Zinn-Haller in humans by fundus fluorescein angiography. METHODS 307 cases (from 212 patients) of fundus fluorescein angiograms performed in patients with myopic degeneration were evaluated to find the circle of Zinn-Haller and to observe its fundus fluorescein angiographic features. RESULTS 15 cases (from 13 patients) with...

We address the problem of controlling a team of robots to form a uniform circle. More specifically, we study the convergence of a distributed circle formation algorithm using computer simulation. The algorithm operates under the hypothesis that robots (1) are oblivious in the sense that they are unable to recall past actions and observations, (2) share no common sense of direction, and (3) have...

We develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle. This is done by using appropriate T-dualities. The method works for an infinite number of Wilson lines, but not for all. The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle. The radius of the circle depends on the Wilson li...

Thurston’s circle packing approximation of the Riemann Mapping (proven to give the Riemann Mapping in the limit by Rodin-Sullivan) is largely based on the theorem that any topological disk with a circle packing metric can be deformed into a circle packing metric in the disk with boundary circles internally tangent to the circle. The main proofs of the uniformization use hyperbolic volumes (Andr...

In this paper, we focus on circle formation control of multi-agent systems (MAS) with a leader. The circle formation is achieved based on the lead-following and the artificial potential field method. A distributed control law is given to make a group of agents form a circle and consequently achieve an expected angle. Finally, simulation results show that the proposed circle formation strategies...

ABBREVIATIONS bp base pair cDNA complementary DNA CV coefficient of variation DNA deoxyribonucleic acid FRET fluorescence resonance energy transfer HRCA hyperbranched rolling circle amplification LN lymph node nt nucleotide OLA oligonucleotide ligation assay PCR polymerase chain reaction RCA rolling circle amplification RCR rolling circle replication RNA ribonucleic acid SCA serial circle ampli...

The blue circle on smartphone displays is an everyday visualization of uncertainty; with the circle size indicating uncertainty of one’s location. Like error bars on graphs, it is a discrete visualization of a graded probability function. Two experiments examined the effectiveness of different visualizations of location estimates varying whether and how uncertainty was visualized (uniform blue ...

The quality of collateral circulation affects the severity and prognosis of stroke patients. The effect of the circle of Willis, which is the primary collateral circulation, on ischemic stroke has attracted significant attention. This study was designed to investigate the effect of different circles of Willis types on stroke severity and prognosis in patients with noncardiac stroke.A total of 3...

Voronoi diagrams are among the most important data structures in geometric modeling. Among many efficient algorithms for computing 2D Voronoi diagrams, Fortune’s sweepline algorithm (Fortune, 1986 [5]) is popular due to its elegance and simplicity. Dehne and Klein (1987) [8] extended sweepline to sweepcircle and suggested computing a type of transformed Voronoi diagram, which is parallel in nat...

BACKGROUND Intracranial aneurysms more often occur in the same arterial territory within families. Several aneurysm locations are associated with specific circle of Willis variations. We investigated whether the same circle of Willis variations are more likely to occur in first-degree relatives than in unrelated individuals. METHODS We assessed four circle of Willis variations (classical, A1-...