Results 81 to 90 of about 13,400 (188)
On Some Problems for a Simplex and a Ball in Rn
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
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Numerical modelling of major planets movement on the new interaction principle basis
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
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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
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Two alternative methods for height transformation
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
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Methodological foundations of applying three-axis graphs in the analysis of agricultural production efficiency [PDF]
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
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Barycentric Coordinates as Interpolants
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
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Metric Matrix in Barycentric Coordinates
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
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Stochastic Computation of Barycentric Coordinates
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
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Barycentric coordinate neighbourhoods in Riemannian manifolds
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
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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
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