11,914 research outputs found

    Cognitive Modelling in HCI Research

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    Flat Foldings of Plane Graphs with Prescribed Angles and Edge Lengths

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    When can a plane graph with prescribed edge lengths and prescribed angles (from among {0,180∘,360∘\{0,180^\circ, 360^\circ\}) be folded flat to lie in an infinitesimally thin line, without crossings? This problem generalizes the classic theory of single-vertex flat origami with prescribed mountain-valley assignment, which corresponds to the case of a cycle graph. We characterize such flat-foldable plane graphs by two obviously necessary but also sufficient conditions, proving a conjecture made in 2001: the angles at each vertex should sum to 360∘360^\circ, and every face of the graph must itself be flat foldable. This characterization leads to a linear-time algorithm for testing flat foldability of plane graphs with prescribed edge lengths and angles, and a polynomial-time algorithm for counting the number of distinct folded states.Comment: 21 pages, 10 figure

    Characterization of Ultrasonic Immersion Transducers

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    In any ultrasonic NDE experiment, the distributed field properties of the transducer involved represent an important aspect of the overall measurement process. The normal velocity profile across the active face of the transducer is typically used to characterize these properties. In quantitative NDE applications, a simple parametric form is usually assumed for this profile, such as a rigid piston with either the nominal or so-called active probe diameter taken as the parameter value. It has been shown in related studies that such an approach does not characterize all UT transducers accurately in all measurement situations (particularly nearfield versus farfield locations). Thus a new method for individual transducer characterization is presented herein that is based on reconstructions of the unknown probe velocity profile from measurements of the radiated field

    Reciprocity-Based Measurement Models for Ultrasonic NDE

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    Quantitative NDE objectives such as the evaluation of flaw signals and the assessment of inspection capabilities generate the need for models of ultrasonic scattering measurements capable of including all aspects of the measurement process: radiation and reception characteristics of probes, propagation of finite beams, scattering of nonplane-wave fields, and the like. Once such models are developed and validated, that is, proven able to predict the received voltages obtained in actual ultrasonic experiments, they can be used to gain a thorough understanding of the NDE inspection process. Specifically, these models will be useful in investigations of the factors that significantly affect ultrasonic inspections, and they will form the basis for the proper interpretation of flaw signals[1]
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