Results 81 to 90 of about 13,400 (188)

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

Numerical modelling of major planets movement on the new interaction principle basis

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
Numerical integration of the equations of movement of major planets, on the basis of a new principle of interaction is spent. Elements of orbits of major planets on large time interval (1602-2200) are calculated. Results of calculations are compared with
Anatolii F Zausaev
doaj  

Computer-Oriented Mathematical Modeling of Multiparameter Converters Using Quadratic, Cubic, and N-Dimensional Interpolation

open access: yesProceedings of the International Conference on Applied Innovations in IT
The current stage of scientific and technological progress in all areas of industrial production and management is characterized by the introduction of new information technologies that determine the increased integration of all automated equipment types,
Miraziz Sagatov, Sitora Nizamova
doaj   +1 more source

Two alternative methods for height transformation

open access: yesGeodesy and Cartography, 2012
Geodesists have always been dealing with coordinate transformations. Th ere exist various kinds of transformations, like three-dimensional (spatial datum) transformations, two-dimensional (horizontal datum) transformations and one-dimensional (eg, height)
Karin  Kollo
doaj   +1 more source

Methodological foundations of applying three-axis graphs in the analysis of agricultural production efficiency [PDF]

open access: yesЕкономіка та управління АПК
The article considers the methodological principles of triaxial graphs using in the analysis of the agricultural production efficiency. It is substantiated that the methodology of triaxial graphs is based on the concept of barycentric coordinates, which ...
Dudoglo T
doaj   +1 more source

Barycentric Coordinates as Interpolants

open access: yes, 2013
Barycentric coordinates are frequently used as interpolants to shade computer graphics images. A simple equation transforms barycentric coordinates from screen space into eye space in order to undo the perspective transformation and permit accurate interpolative shading of texture maps. This technique is amenable to computation using a block-normalized
openaire   +2 more sources

Metric Matrix in Barycentric Coordinates

open access: yes
In this paper, the concept of the metric matrix is introduced to establish a concise and unified formulation for the inner product in barycentric coordinates. Building on this framework, we explore the intrinsic algebraic identities of barycentric coordinates and their direct correspondence with geometric theorems.
A Preprint, Feng, Xi
openaire   +3 more sources

Stochastic Computation of Barycentric Coordinates

open access: yesACM Transactions on Graphics
This paper presents a practical and general approach for computing barycentric coordinates through stochastic sampling. Our key insight is a reformulation of the kernel integral defining barycentric coordinates into a weighted least-squares minimization that enables Monte Carlo integration without sacrificing linear precision.
de Goes, Fernando, Desbrun, Mathieu
openaire   +3 more sources

Barycentric coordinate neighbourhoods in Riemannian manifolds

open access: yes, 2016
We quantify conditions that ensure that a signed measure on a Riemannian manifold has a well defined centre of mass. We then use this result to quantify the extent of a neighbourhood on which the Riemannian barycentric coordinates of a set of $n+1$ points on an $n$-manifold provide a true coordinate chart, i.e., the barycentric coordinates provide a ...
Dyer, Ramsay   +2 more
openaire   +2 more sources

Generative Simplex Mapping: Non-Linear Endmember Extraction and Spectral Unmixing for Hyperspectral Imagery

open access: yesRemote Sensing
We introduce a new model for non-linear endmember extraction and spectral unmixing of hyperspectral imagery called Generative Simplex Mapping (GSM).
John Waczak, David J. Lary
doaj   +1 more source

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