In orthogonal graph drawing, edges are represented by sequences of horizontal and vertical straight line segments. For graphs of degree at most four, this can be achieved by embedding the graph in a grid. The number of bends displayed is an important criterion for layout quality. A well-known algorithm of Tamassia eeciently embeds a planar graph with xed combinatorial embedding and vertex degre...

This paper presents an experimental investigation of an aerosol problem by adopting two methods. One approach utilizes scanning electron microscope to study the realistic aerosol deposition status in a typical duct bend. Through scanning electron microscope images and on-site observation, the aerosols tend to deposit and accumulate more on the outer bend wall and bend outlet wall. The other app...

We consider the problem of drawing plane graphs with an arbitrarily high vertex degree orthogonally into the plane such that the number of bends on the edges should be minimized. It has been known how to achieve the bend minimum without any respect to the size of the vertices. Naturally, the vertices should be represented by uniformly small squares. In addition we might require that each face s...

Authors’ addresses: G. Kurz, I. Gilitschenski, and U. Hanebeck, Intelligent Sensor-Actuator-Systems Laboratory (ISAS), Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT), Germany (e-mail: fgerhard.kurz, [email protected], [email protected]); S. Julier, Virtual Environments and Computer Graphics Group, Department of Computer Science, University College Lo...

OBJECTIVE The relatively low success rate of the treatment maneuver for horizontal semicircular canal (HSC) benign paroxysmal positional vertigo (BPPV) may be caused by the difficulty determining the affected side. We developed a 180-degree supine roll test (SRT) by modifying the 90-degree SRT to increase diagnostic accuracy and evaluated its significance. STUDY DESIGN A prospective study. ...

In this paper we solve numerically two singularly perturbed linear convection±diffusion problems for heat transfer in a ̄uid with an assumed ̄ow ®eld in the neighbourhood of a 180° bend in a channel. In the ®rst problem the theoretical solution has a parabolic boundary layer and in the second problem there is both a parabolic and a regular boundary layer in the solution. The numerical method us...