Results 1 to 10 of about 776 (151)

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

Visual 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,
Roland Kunkli
exaly   +4 more sources

Convergence of barycentric coordinates to barycentric kernels [PDF]

Computer Aided Geometric Design, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Barton, Jiří Kosinka
exaly   +3 more sources

Local barycentric coordinates [PDF]

ACM 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.
Kai Hormann, Bailin Deng, Juyong Zhang   +2 more
exaly   +7 more sources

Variational Barycentric Coordinates

ACM Transactions on Graphics, 2023
We propose a variational technique to optimize for generalized barycentric coordinates that offers additional control compared to existing models. Prior work represents barycentric coordinates using meshes or closed-form formulae, in practice limiting the choice of objective function.
Justin Solomon, Ana Dodik, Vincent Sitzmann   +2 more
exaly   +6 more sources

Barycentric coordinates for convex sets [PDF]

Advances in Computational Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathieu Desbrun, Anil Hirani, Joe Warren   +2 more
exaly   +2 more sources

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

Heliyon
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, Haibo Deng, Zhipeng Deng, Xingang Wu   +3 more
doaj   +2 more sources

Barycentric coordinates for polytopes

Computers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Stochastic Computation of Barycentric Coordinates

ACM 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.
Mathieu Desbrun, Fernando de Góes
exaly   +4 more sources

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

Micromachines
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

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

Mathematics, 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, Pieter Boom, Andrey P. Jivkov   +2 more
doaj   +1 more source