Results 111 to 120 of about 387,925 (133)

STATISTICAL INFERENCE FOR MEAN FUNCTIONS OF COMPLEX 3D OBJECTS. [PDF]

open access: yesStat Sin
Wang Y   +4 more
europepmc   +1 more source

Role of data-driven regional growth model in shaping brain folding patterns.

open access: yesSoft Matter
Hou J   +7 more
europepmc   +1 more source

A general construction of barycentric coordinates over convex polygons

open access: yesAdvances in Computational Mathematics, 2006
The paper is devoted to the study of a generalization of classical barycentric coordinates to convex polygons: the so called ``Wachspress coordinates''. The main properties of these coordinates are established. Then, the three-points and respectively the five-points coordinates are examined in details. Some examples are also presented.
Kai Hormann   +2 more
exaly   +6 more sources

Barycentric coordinates for convex polytopes

Advances in Computational Mathematics, 1996
Continuing investigations of other authors referring to convex polygons and convex polytopes, the author generalizes the standard barycentric coordinate functions for simplices to those for arbitrary convex polytopes. In particular, a planar construction for polygons due to E.
Joe Warren
exaly   +2 more sources

Convergence of barycentric coordinates to barycentric kernels [PDF]

open access: yesComputer Aided Geometric Design, 2016
We investigate the close correspondence between barycentric coordinates and barycentric kernels from the point of view of the limit process when finer and finer polygons converge to a smooth convex domain. We show that any barycentric kernel is the limit
Michael Barton, Jiří Kosinka
exaly   +3 more sources

Variational Barycentric Coordinates [PDF]

open access: yesACM 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 ...
Justin Solomon   +2 more
exaly   +2 more sources

Barycentric coordinates for polytopes [PDF]

open access: yesComputers and Mathematics With Applications, 2011
In Wachspress (1975) [1], theory was developed for constructing rational basis functions for convex polygons and polyhedra. These barycentric coordinates were positive within the elements. Generalization to higher space dimensions is described here.
Eugene L. Wachspress   +1 more
exaly   +2 more sources

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