Results 51 to 60 of about 387,925 (133)

2D Generalized Barycentric Coordinates

open access: yes, 2023
This package offers an efficient and robust implementation of 2D generalized barycentric coordinates defined for simple polygons in the plane. If coordinates with respect to multivariate scattered points instead of a polygon are required, please refer to
Bommes, David   +3 more
core  

A Family of Barycentric Coordinates for Co-Dimension 1 Manifolds with Simplicial Facets

open access: yes, 2019
We construct a family of barycentric coordinates for 2D shapes including non-convex shapes, shapes with boundaries, and skeletons. Furthermore, we extend these coordinates to 3D and arbitrary dimension.
Yan, Zhipei, Schaefer, Scott
core   +1 more source

Comparison and affine combination of generalized barycentric coordinates for convex polygons [PDF]

open access: yes
In this paper, we study and compare different types of generalized bary- centric coordinates in detail, including Wachspress, discrete harmonic and mean value coordinates for convex, n-sided polygons.
Tóth, Ákos
core  

Barycentric coordinates. 1 – Affine properties [PDF]

open access: yes, 2015
Baricentričke (ili arealne) koordinate bilo koje točke s obzirom na dani trokut u euklidskoj ravnini definiraju se uz pomoć vektorskog računa. Definiraju se i baricentričke koordinate bilo kojeg pravca.
Volenec, Vladimir, Vladimir Volenec
core  

Interior Distance Using Barycentric Coordinates

open access: yes, 2009
This paper introduces a framework for defining a shape-aware distance measure between any two points in the interior of a surface mesh. Our framework is based on embedding the surface mesh into a high-dimensional space in a way that best preserves ...
Lipman, Y.   +2 more
core   +1 more source

Triangle centres : barycentric coordinates [PDF]

open access: yes, 2020
In an earlier article we had presented a way to characterize well known triangle centres – by their ‘trilinear coordinates.’ (Ref. 1) In this article we take up another system of characterising triangle centres, where each triangle centre is ...
Ramachandran, A.
core  

Distributed sensor localization using barycentric coordinates

open access: yes, 2020
-In this paper, we review our work on distributed sensor localization using barycentric coordinates. We present an algorithm for localization in m-dimensional Euclidean spaces. The algorithm is distributed and requires at least m+1 anchors.
Soummya Kar   +2 more
core  

Local Criteria for Triangulating General Manifolds. [PDF]

open access: yesDiscrete Comput Geom, 2023
Boissonnat JD   +3 more
europepmc   +1 more source

Circles in barycentric coordinates [PDF]

open access: yes, 2004
Let ABC be a fundamental triangle with the area ∆. For a circle K the powers of vertices A,B,C with regard to K divided by 2∆ are said to be the barycentric coordinates of K with respect to triangle ABC.
Volenec, V.
core  

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