Results 71 to 80 of about 13,400 (188)

Rigorous treatment of barycentric stellar motion: Perspective and light-time effects in astrometric and radial velocity data

, 2014
High-precision astrometric and radial-velocity observations require accurate modelling of stellar motions in order to extrapolate measurements over long time intervals, and to detect deviations from uniform motion caused for example by unseen companions.
Butkevich, Alexey G., Lindegren, Lennart
core   +1 more source

Random Triangle Theory with Geometry and Applications

, 2015
What is the probability that a random triangle is acute? We explore this old question from a modern viewpoint, taking into account linear algebra, shape theory, numerical analysis, random matrix theory, the Hopf fibration, and much much more.
Edelman, Alan, Strang, Gilbert
core   +1 more source

Barycentric algebra and convex polygon coordinates

, 2023
62 pages, 8 ...
Romanowska, A. B., Smith, J. D. H., Zamojska-Dzienio, A.   +2 more
openaire   +2 more sources

A convex-valued selection theorem with a non-separable Banach space

Advances in Nonlinear Analysis, 2018
In the spirit of Michael’s selection theorem [6, Theorem 3.1”’], we consider a nonempty convex-valued lower semicontinuous correspondence φ:X→2Y{\varphi:X\to 2^{Y}}.
Gourdel Pascal, Mâagli Nadia
doaj   +1 more source

Unsupervised Nonlinear Hyperspectral Unmixing Based on Bilinear Mixture Models via Geometric Projection and Constrained Nonnegative Matrix Factorization

Remote Sensing, 2018
Bilinear mixture model-based methods have recently shown promising capability in nonlinear spectral unmixing. However, relying on the endmembers extracted in advance, their unmixing accuracies decrease, especially when the data is highly mixed.
Bin Yang, Bin Wang, Zongmin Wu
doaj   +1 more source

Embedding Stacked Polytopes on a Polynomial-Size Grid

, 2017
A stacking operation adds a $d$-simplex on top of a facet of a simplicial $d$-polytope while maintaining the convexity of the polytope. A stacked $d$-polytope is a polytope that is obtained from a $d$-simplex and a series of stacking operations.
Demaine, Erik D., Schulz, Andre
core   +1 more source

Barycentric coordinates for polytopes

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Surface normals and barycentric coordinates [PDF]

Mathematical Problems in Engineering, 1996
The normal to a triangular parametric surface is investigated where the parameters used are barycentric coordinates. Formulae for the normal are obtained for non‐rational and rational surfaces.
openaire   +1 more source

3D Deformable Object Matching Using Graph Neural Networks

Studia Universitatis Babes-Bolyai: Series Informatica
Considering the current advancements in computer vision it can be observed that most of it is focused on two-dimensional imagery. This includes problems such as classification, regression, and the lesser-known object matching problem.
Mihai-Adrian LOGHIN
doaj   +1 more source

A survey of subdivisions and local $h$-vectors [PDF]

, 2015
The enumerative theory of simplicial subdivisions (triangulations) of simplicial complexes was developed by Stanley in order to understand the effect of such subdivisions on the $h$-vector of a simplicial complex.
Athanasiadis, Christos A.
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