Results 1 to 10 of about 194 (85)

Linear Theory for Self-Localization: Convexity, Barycentric Coordinates, and Cayley–Menger Determinants

open access: yesIEEE Access, 2015
Localization, finding the coordinates of an object with respect to other objects with known coordinates-hereinafter, referred to as anchors, is a nonlinear problem, as it involves solving circle equations when relating distances to Cartesian coordinates,
Usman A. Khan   +2 more
doaj   +4 more sources

Barycentric coordinates for convex sets [PDF]

open access: yesAdvances in Computational Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathieu Desbrun   +2 more
exaly   +2 more sources

On the monotonicity of generalized barycentric coordinates on convex polygons [PDF]

open access: yesComputer Aided Geometric Design, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael S Floater
exaly   +6 more sources

Generalized barycentric coordinates and approximations of convex functions on arbitrary convex polytopes

open access: yesComputers and Mathematics With Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allal Guessab
exaly   +3 more sources

Free-Form Deformation for Mesh Models based on Barycentric Coordinates for Convex Polytope

open access: yesJournal of the Japan Society for Precision Engineering, 2007
In this paper, we present a parametric deformation method for mesh models based on barycentric coordinates for convex polytope. First, we propose a FFD (free-form deformation) based on barycentric coordinates. Arbitrary convex polytope can be used for the deformation handle of the FFD.
Satoshi Kanai
exaly   +3 more sources

On the Geometric Description of Nonlinear Elasticity via an Energy Approach Using Barycentric Coordinates

open access: yesMathematics, 2021
The deformation of a solid due to changing boundary conditions is described by a deformation gradient in Euclidean space. If the deformation process is reversible (conservative), the work done by the changing boundary conditions is stored as potential ...
Odysseas Kosmas   +2 more
doaj   +1 more source

A New Concept of PWM Duty Cycle Computation Using the Barycentric Coordinates in a Three–Dimensional Voltage Vectors Arrangement

open access: yesIEEE Access, 2020
The paper presents a novel approach to the Pulse Width Modulation (PWM) duty cycle computing for complex or irregular voltage vector arrangements in the two (2D) and three-dimensional (3D) Cartesian coordinate systems.
Pawel Szczepankowski   +4 more
doaj   +1 more source

Random processes with convex coordinates on triangular graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Probabilities for reaching specified destinations and expectation values for lengths for random walks on triangular arrays of points and edges are computed.
J. N. Boyd, P. N. Raychowdhury
doaj   +1 more source

On Some Problems for a Simplex and a Ball in Rn

open access: yesМоделирование и анализ информационных систем, 2018
Let \(C\) be a convex body and let \(S\) be a nondegenerate simplex in \({\mathbb R}^n\). Denote by \(\tau S\) the image of \(S\) under homothety with a center of homothety in the center of gravity of \(S\) and the ratio \(\tau\). We mean by \(\xi(C;S)\)
Mikhail V. Nevskii
doaj   +1 more source

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