introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to programming complicated geometrical operations. But there is a fundamental weakness in this approach — the Euclidean distance between points is not handled in a s...

The coefficient of kinship between two diploid organisms describes their overall genetic similarity to each other relative to some base population. For example, kinship between parent and offspring of 1/4 describes gene sharing in excess of random sharing in a random mating population. In a subdivided population the statistic Fst describes gene sharing within subdivisions in the same way. Since...

The problem of detecting and eliminating self-intersections in offset curves is a fundamental question that has attracted numerous researchers over the years. The interest has resulted in copious publications on the subject. Unfortunately, the detection of self-intersections in offset curves, and more so, the elimination of these self-intersections are difficult problems with less than satisfac...

background and objectives: pomegranate juice (pj) contains large particles that stick to evaporator walls causing off flavors in the concentrate due to burning. microfiltration is used to clarify pj. fouling is a limiting phenomenon that can prevent the industrialization of membrane clarification. changes in the geometry of the membrane module such as using baffles are useful to decrease this p...

The physical behavior of solid colloids trapped at a fluid-fluid interface remains in itself an open fundamental issue. Here, we show that the gradients of surface tension can induce particles to jet towards the oil/water interface with velocities as high as ≈ 60 mm/s when particle suspensions come in contact with the interface. We hypothesize that rubbing between the particles and oil lead to ...

The distance function to surfaces in three dimensions plays a key role in many geometric modeling applications such as medial axis approximations, surface reconstructions, offset computations, feature extractions and others. In most of these cases, the distance function to the surface is approximated by a discrete distance function where the distances are measured from a discrete sample of the ...