Results 11 to 20 of about 46,580 (177)
Relative convex body in Euclidean and hyperbolic spaces [PDF]
Delta Journal of Science, 2017 This paper is to generalize the concept of convex body to the so called relative convexbody in Euclidean space 𝐸 . Some geometrical and topological properties for this kind of sets arediscussed. Some properties of the central projection map(Beltrami map)
Doaa Mohammed El-sayed +2 more
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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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Covering the Boundary of Special Convex Bodies with Smaller Homothetic Copies
Journal of Harbin University of Science and Technology, 2019 For Hadwiger conjecture that the least number c(K) of translates of the interior of K needed to cover K is at most 2n, according to the fact that c(K) equals the least number of smaller homothetic copies of K with the same homothetic ratio needed to ...
JI Dong-hai, Lv De-jing, MA Ze-min
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COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE
Image Analysis and Stereology, 2011 The pivotal estimators of the surface area and the volume of a generic "particle" are based on a point sampled test line on an isotropic pivotal plane through a fixed point called the pivotal point.
Luis M Cruz-Orive
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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, 1993 Given a metric space \((S,\rho)\), and a sequence of regions \(F_ i\), \(i=1,\dots,n\), say the plane \(R^ 2\) and a sequence of convex sets, one is supposed to design an algorithm producing a path \(x_ i\), \(i=1,\dots,n\), \(x_ i\in F_ i\), minimizing the cost \(\sum^{n- 1}_{i=1}\rho(x_ i,x_{i+1})\).
Joel Friedman, Nathan Linial
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Equilibria of Plane Convex Bodies [PDF]
Journal of Nonlinear Science, 2021 AbstractWe obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of $$\partial K$$ ∂ K with respect to O.
Jonas Allemann +2 more
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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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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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On Some Results in the Geometry of Convex Bodies and their Applications
Моделирование и анализ информационных систем, 2015 We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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