Although moving human observers actively fixate their eyes on points in the world, computer vision algorithms designed for the estimation of structure-from-motion or egomotion typically do not make use of this constraint. The main contribution of this work is to precisely specify the form of the optical flow field for a fixating observer. In particular, we show theoretically that the use of a h...

A finite-difference procedure is employed to predict the development of turbulent flow in curved pipes. The turbulence model used involves the solution of two differential equations, one for the kinetic energy of the turbulence and the other for its dissipation rate. The predicted total-velocity contours for the developing flow in a 180’ bend are compared with the experimental data. Predictions...

In an orthogonal drawing of a plane graph, any edge is drawn as a sequence of line segments, each having either a horizontal or a vertical direction. A bend is a point where an edge changes its direction. A drawing is called a bend-minimum orthogonal drawing if the number of bends is minimum among all orthogonal drawings. This paper presents a linear-time algorithm to find a bend-minimum orthog...

We describe a set of ∆−1 slopes that are universal for 1-bend planar drawings of planar graphs of maximum degree ∆ ≥ 4; this establishes a new upper bound of ∆− 1 on the 1-bend planar slope number. By universal we mean that every planar graph of degree ∆ has a planar drawing with at most one bend per edge and such that the slopes of the segments forming the edges belong to the given set of slop...

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Bend existence induces changes in the flow pattern, velocity profiles and water surface. In the present study, based on experimental data, first three-dimensional computational fluid dynamic (CFD) model is simulated by using Fluent two-phase (water + air) as the free surface and the volume of fluid method, to predict the two significant variables (velocity and channel bed pressure) in 90º sharp...

This paper discusses the calculation of bend minimal shapes for non-planar graphs with given topology. Based on the Simple-Kandinsky drawing standard – a simplification of the more complex Kandinsky standard – we show the disadvantage of using standard models for this task: We show that the minimal bend count is suboptimal, when these models are applied to non-planar graphs; it is therefore ben...