Results 1 to 10 of about 13,380 (168)

Efficient object location determination and error analysis based on barycentric coordinates [PDF]

open access: yesVisual Computing for Industry, Biomedicine, and Art, 2020
In this paper, we propose an efficient computational method for converting local coordinates to world coordinates using specially structured coordinate data. The problem in question is the computation of world coordinates of an object throughout a motion,
Andrea Bodonyi, Roland Kunkli
doaj   +2 more sources

Multi-line structured light stripes clustering based on a custom iterative window [PDF]

open access: yesHeliyon
Objective: This paper proposes a multi-line structured light stripe clustering method based on a custom iterative window to address the issue of stripes confusion caused by stripe breakage and noise points during the multi-line laser stripe matching ...
Wenguo Li   +3 more
doaj   +2 more sources

Circles in barycentric coordinates [PDF]

open access: yesMathematical communications, 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.
V. Volenec
core   +4 more sources

Metrical relations in barycentric coordinates [PDF]

open access: yesMathematical communications, 2003
Let Δ be the area of the fundamental triangle ABC of barycentric coordinates and α=cot A,β =cot B, γ=cot C. The vectors $boldsymbol{v}_i=[x_{i},y_{i},z_{i}]$ $(i=1,2)$ have the scalar product $2Delta (alpha x_{1}x_{2}+beta y_{1}y_{2}+gamma z_{1}z_{2 ...
V. Volenec
core   +4 more sources

Flexible Peripheral Nerve Interfacing Electrode for Joint Position Control in Closed-Loop Neuromuscular Stimulation [PDF]

open access: yesMicromachines
Addressing peripheral nerve disorders with electronic medicine poses significant challenges, especially in replicating the dynamic mechanical properties of nerves and understanding their functionality.
Sia Kim, Kang-Il Song
doaj   +2 more sources

Local barycentric coordinates [PDF]

open access: yesACM Transactions on Graphics, 2014
Barycentric coordinates yield a powerful and yet simple paradigm to interpolate data values on polyhedral domains. They represent interior points of the domain as an affine combination of a set of control points, defining an interpolation scheme for any function defined on a set of control points.
Bouaziz, Sofien   +6 more
openaire   +4 more sources

On the Geometric Description of Nonlinear Elasticity via an Energy Approach Using Barycentric Coordinates

open access: yesMathematics, 2021
The deformation of a solid due to changing boundary conditions is described by a deformation gradient in Euclidean space. If the deformation process is reversible (conservative), the work done by the changing boundary conditions is stored as potential ...
Odysseas Kosmas   +2 more
doaj   +1 more source

Computer-Aided Assessment of Displacement and Reduction of Distal Radius Fractures

open access: yesDiagnostics, 2021
This study aims to investigate displacements and reductions of distal radius fractures using measurement indices based on the computer-aided three-dimensional (3D) radius shape model. Fifty-two distal radius fracture patients who underwent osteosynthesis
Yuichi Yoshii   +6 more
doaj   +1 more source

Some Properties of the Exeter Transformation

open access: yesMathematics, 2021
The Exeter point of a given triangle ABC is the center of perspective of the tangential triangle and the circummedial triangle of the given triangle.
Peter Csiba, László Németh
doaj   +1 more source

Wasserstein barycentric coordinates [PDF]

open access: yesACM Transactions on Graphics, 2016
This article defines a new way to perform intuitive and geometrically faithful regressions on histogram-valued data. It leverages the theory of optimal transport, and in particular the definition of Wasserstein barycenters, to introduce for the first time the notion of barycentric coordinates for histograms.
Nicolas Bonneel   +2 more
openaire   +2 more sources

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