89 research outputs found

    Uniqueness in Discrete Tomography of Delone Sets with Long-Range Order

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    We address the problem of determining finite subsets of Delone sets ΛRd\varLambda\subset\R^d with long-range order by XX-rays in prescribed Λ\varLambda-directions, i.e., directions parallel to non-zero interpoint vectors of Λ\varLambda. Here, an XX-ray in direction uu of a finite set gives the number of points in the set on each line parallel to uu. For our main result, we introduce the notion of algebraic Delone sets ΛR2\varLambda\subset\R^2 and derive a sufficient condition for the determination of the convex subsets of these sets by XX-rays in four prescribed Λ\varLambda-directions.Comment: 15 pages, 2 figures; condensed and revised versio

    EFSUMB Guidelines on Interventional Ultrasound (INVUS), Part II : Diagnostic ultrasound-guided interventional procedures (Long Version)

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    Publisher Copyright: © Georg Thieme Verlag KG Stuttgart New York.This is the second part of the series on interventional ultrasound guidelines of the Federation of Societies for Ultrasound in Medicine and Biology (EFSUMB). It deals with the diagnostic interventional procedure. General points are discussed which are pertinent to all patients, followed by organ-specific imaging that will allow the correct pathway and planning for the interventional procedure. This will allow for the appropriate imaging workup for each individual interventional procedure (Long version).publishersversionPeer reviewe

    Sonolocation during submandibular sialolithotomy

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