Results 21 to 30 of about 44,177 (192)
Frontiers in Surgery, 2022 Study DesignRetrospective analysis.ObjectiveTo evaluate bone quality and investigate asymmetrical development of the thoracic vertebral body in adolescent idiopathic scoliosis (AIS) based on Hounsfield unit (HU) measurements obtained from computed ...
Taiqiu Chen +11 more
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Discrete & Computational Geometry, 2022 AbstractIn this paper we study the fiber bodies, that is the extension of the notion of fiber polytopes for more general convex bodies. After giving an overview of the properties of the fiber bodies, we focus on three particular classes of convex bodies. First we describe the strict convexity of the fiber bodies of the so called puffed polytopes.
Léo Mathis, Chiara Meroni
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RECTILINEAR AND BROWNIAN MOTION FROM A RANDOM POINT IN A CONVEX REGION
Image Analysis and Stereology, 2011 A particle is projected from a point P in a subset E of a convex region H to a point Q in a uniformly random direction. The probability that Q lies in the interior of H at time t is obtained for two types of motion of the particle, rectilinear (i.e ...
Peter Ehlers, Ernest Enns, Tak Fung
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CONVEX BODIES AND GAUSSIAN PROCESSES
Image Analysis and Stereology, 2011 For several decades, the topics of the title have had a fruitful interaction. This survey will describe some of these connections, including the GB/GC classification of convex bodies, Ito-Nisio singularities from a geometric viewpoint, Gaussian ...
Richard A Vitale
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Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
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Shadows of Convex Bodies [PDF]
Transactions of the American Mathematical Society, 1991 It is proved that if C C is a convex body in R n {\mathbb {R}^n} then C C has an affine image C ~ \tilde C (of nonzero volume) so that if P P is any 1 1 ...
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Banach–Mazur Distance Between Convex Quadrangles
Demonstratio Mathematica, 2014 It is proved that the Banach-Mazur distance between arbitrary two convex quadrangles is at most 2. The distance equals 2 if and only if the pair of these quadrangles is a parallelogram and a triangle.
Lassak Marek
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A parallel ADMM-based convex clustering method
EURASIP Journal on Advances in Signal Processing, 2022 Convex clustering has received recently an increased interest as a valuable method for unsupervised learning. Unlike conventional clustering methods such as k-means, its formulation corresponds to solving a convex optimization problem and hence ...
Lidija Fodor +3 more
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IEEE Access, 2023 To improve the performance of the rigid body localization (RBL) in the non-line-of-sight (NLOS) environment, this paper delves into a joint estimation method about the wireless signal transmission parameter and the attitude parameters of the rigid body ...
Pengwu Wan +3 more
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Discrete & Computational Geometry, 1993 A player moving in the plane is given a sequence of instructions of the following type: at stepi a planar convex setFi is specified, and the player has to move to a point inFi. The player is charged for the distance traveled. We provide a strategy for the player which is competitive, i.e., for any sequenceFi the cost to the player is within a constant (
Friedman, J., Linial, N.
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