TL;DR: The first results show that the ‘circle segment’ technique is very powerful for visualizing large amounts of data, providing more expressive visualizations than other wellknown techniques such as the “recursive pattern” technique and traditional ‘line graphs’.
Abstract: In this paper , we describe a novel technique for visualizing large amounts of high-dimensio nal data, called ‘circle segments’. The technique uses one colored pixel per data value and can therefore be classified as a pixel-per-value technique [Kei 96]. The basic idea of the ‘circle segments’ visualization technique is to display the data dimensions as segments of a circle. If the data consists of k dimensions, the circle is partitioned into k segments, each representing one data dimension. Inside the segments, the data values belonging to one dimension are arranged from the center of the circle to the outside in a back and forth manner orthogonal to the line that halves the segment. Our first results show that the ‘circle segment’ technique is very powerful for visualizing large amounts of data, providing more expressive visualizations than other wellknown techniques such as the ‘recursive pattern’ technique and traditional ‘line graphs’.
TL;DR: In this article, a bottom-up approach was proposed for determining the pressure drop of fully developed, laminar, single-phase flow in singly connected microchannels of arbitrary cross-section.
TL;DR: In this paper, the authors consider the feasibility of a simulated annealing algorithm towards the solution of the multiple digest mapping problem and show that it admits an exponentially increasing number of solutions as a function of the length of the segment under a particular probability model.
TL;DR: A new method is proposed to detect circular arcs that includes the determination of its center, radius, length, and midpoint using the Hough transform.
TL;DR: This work investigated how segment length can affect residual stress calculations and identified the appropriate segment length for experiments, and computed the residual stress distribution, and found that the circularity assumption may be a reasonable approximation for typical arteries.
Abstract: Calculation of residual stress in arteries, using the analytical approach has been quite valuable in our understanding of its critical role in vascular mechanics. Stresses are calculated at the central section of an infinitely long tube by imposing a constant axial stretch while deforming the artery from the stress-free state to its unloaded state. However, segments used to perform opening-angle measurements have finite lengths. Further, the stress-free artery configuration is assumed to be circular. Experiments show that they are slightly noncircular. The numerical approach to residual stress calculation can allow us to study both these issues. Using 3D cylindrical geometries and an isotropic material model, we investigated how segment length can affect residual stress calculations and identified the appropriate segment length for experiments. Further, we recorded and used the true noncircular stress-free state of an artery segment, computed the residual stress distribution, and compared it to that from a similar, but circular segment. Our findings suggest that segment length must be ten times the wall thickness for it to be “long” enough. We also found that the circularity assumption may be a reasonable approximation for typical arteries.