Results 41 to 50 of about 387,925 (133)

Analysis and new constructions of generalized barycentric coordinates in 2D [PDF]

, 2017
Different coordinate systems allow to uniquely determine the position of a geometric element in space. In this dissertation, we consider a coordinate system that lets us determine the position of a two-dimensional point in the plane with respect to an
Anisimov, Dmitry
core   +1 more source

Global solver based on the Sperner lemma and Mazurkewicz–Knaster‐Kuratowski–lemma based proof of the Brouwer fixed‐point theorem

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 1, January 2026.
Abstract In this paper a fixed‐point solver for mappings from a simplex into itself that is gradient‐free, global and requires d$d$ function evaluations for halving the error is presented, where d$d$ is the dimension. It is based on topological arguments and uses the constructive proof of the Mazurkewicz–Knaster–Kuratowski lemma when used as part of ...
Thilo Moshagen
wiley   +1 more source

General Barycentric Coordinates [PDF]

, 2020
V magistrskem delu obravnavam posplošene baricentrične koordinate s pomočjo katerih lahko zapišemo točko znotraj večkotnika kot konveksno kombinacijo njegovih oglišč.
Gubanc, Jaka
core  

Transfinite Barycentric Coordinates

, 2017
In this chapter we study properties of transfinite barycentric interpolation schemes, which can be considered as continuous counterparts of generalized barycentric coordinates and are currently a subject of intensive research due to their fascinating ...
Belyaev, Alexander G., Pierre-Alain Fayolle, Alexander G. Belyaev, Fayolle, Pierre-Alain   +3 more
core   +1 more source

Barycentric Coordinates on Surfaces

, 2010
This paper introduces a method for defining and efficiently computing barycentric coordinates with respect to polygons on general surfaces. Our construction is geared towards injective polygons (polygons that can be enclosed in a metric ball of an ...
Raif M. Rustamov
core   +1 more source

Learning Compliant Box-in-Box Insertion through Haptic-Based Robotic Teleoperation. [PDF]

Sensors (Basel), 2023
Kana S, Gurnani J, Ramanathan V, Ariffin MZ, Turlapati SH, Campolo D.   +5 more
europepmc   +1 more source

Generalized barycentric coordinates and Jensen type inequalities on convex polytopes

, 2016
ACLInternational audienceIn this paper we obtain some direct and converse new multidimensional Jensen’s type inequalities on convex polytopes. Among the inequalities presented, we offer, as a particular case of our general results, a direct and converse ...
Guessab, Allal
core  

Barycentric Coordinates [PDF]

, 2014
An intention of this text is to discuss barycentric coordinates. In the beginning, the reader is informed about the historical background and development of this type of coordinates, which are the option to the Cartesian coordinates.
Mašatová, Zora
core  

Computationally efficient barycentric interpolation of large grain boundary octonion point sets. [PDF]

MethodsX, 2022
Baird SG, Homer ER, Fullwood DT, Johnson OK.   +3 more
europepmc   +1 more source

Generalized barycentric coordinates and Jensen type inequalities on convex polytopes

, 2014
ACLInternational audienceIn this paper we obtain some direct and converse new multidimensional Jensen’s type inequalities on convex polytopes. Among the inequalities presented, we offer, as a particular case of our general results, a direct and converse ...
Guessab, Allal
core