Results 101 to 110 of about 737 (123)
Some of the next articles are maybe not open access.
Barycentric coordinates for convex polytopes
Advances in Computational Mathematics, 1996Continuing 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.
openaire +1 more source
On transfinite barycentric coordinates.
2006A general construction of trans_nite barycentric coordinates is obtained as a simple and natural generalization of Floater's mean value coordinates [Flo03, JSW05b]. The Gordon-Wixom interpolation scheme [GW74] and trans_nite counterparts of discrete harmonic and Wachspress-Warren coordinates are studied as particular cases of that general construction.
openaire +2 more sources
Problem in Barycentric Coordinates
Journal of Applied Physics, 1965When the phase coexistence pattern of a multicomponent system is known, it is theoretically a simple matter to decide which of the phase fields is represented by a given mixture of the p primary components. However, when p>3 the usual determinantal procedure is time consuming in practice and may even lead to an erroneous conclusion because of ...
openaire +1 more source
Computing the Barycentric Coordinates of a Projected Point
Journal of Graphics Tools, 2005An efficient algorithm is described for computing the barycentric coordinates of the projection of a point into the plane of a triangle. The method requires no square roots or conditionals, and only one floating point division, making it suitable for both CPU and GPU implementations.
openaire +1 more source
A general construction of spherical barycentric coordinates and applications
Journal of Computational and Applied Mathematics, 2023Aziz Ikemakhen
exaly
Euclidean and Hyperbolic Barycentric Coordinates
2010In Chap. 3, we have seen two important theorems in mechanics. These are Theorem 3.3, p. 69, about the mass and the center of momentum velocity of a particle system in classical mechanics, and Theorem 3.2, p. 64, about the mass and the center of momentum velocity of a particle system in relativistic mechanics.
openaire +1 more source
Inertia tensor of a triangle in barycentric coordinates
Journal of the Korean Physical Society, 2021U-Rae Kim, Dong-Won Jung, Chaehyun Yu
exaly
A general construction of barycentric coordinates over convex polygons
Advances in Computational Mathematics, 2006Michael S Floater +2 more
exaly