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On pseudo-harmonic barycentric coordinates
Computer Aided Geometric Design, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renjie Chen, Craig Gotsman
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The limit of a family of barycentric coordinates for quadrilaterals
Computer Aided Geometric Design, 2015Recently, Floater (2015) proposed a one-parameter family of generalized barycentric coordinates for quadrilaterals. In this note we gave a proof to his observation on the limit of such coordinates: the coordinates approach the piecewise linear coordinates obtained by triangulating the quadrilateral using one or other of the diagonals if the parameter ?
Chongyang Deng
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The monotonicity of a family of barycentric coordinates for quadrilaterals
Computer Aided Geometric Design, 2017Abstract Recently, Floater (2016) proved that four well-known kinds of generalized barycentric coordinates in convex polygons share a simple monotonicity property. In this note we proved that a family of barycentric coordinates for quadrilaterals ( Floater, 2015a ) are monotonic, too.
Chongyang Deng
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Hyperbolic barycentric coordinates and applications
Computer Aided Geometric Design, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alaa Eddine Bensad, Aziz Ikemakhen
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Special issue on “Generalized Barycentric Coordinates”
Computer Aided Geometric Design, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael S. Floater +2 more
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Barycentric Coordinates on Surfaces
Computer Graphics Forum, 2010AbstractThis paper introduces a method for defining and efficiently computing barycentric coordinates with respect to polygons on general surfaces. Our construction is geared towards injective polygons (polygons that can be enclosed in a metric ball of an appropriate size) and is based on replacing the linear precision property of planar coordinates by
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Generalized Barycentric Coordinates on Irregular Polygons
Journal of Graphics Tools, 2002Summary: We present an easy computation of a generalized form of barycentric coordinates for irregular, convex \(n\)-sided polygons. Triangular barycentric coordinates have had many classical applications in computer graphics, from texture mapping to ray tracing.
Mark Meyer +3 more
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Spherical barycentric coordinates.
2006We develop spherical barycentric coordinates. Analogous to classical, planar barycentric coordinates that describe the positions of points in a plane with respect to the vertices of a given planar polygon, spherical barycentric coordinates describe the positionsof points on a sphere with respect to the vertices of a given spherical polygon.
Langer, T. +2 more
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Barycentric coordinates computation in homogeneous coordinates
Computers & Graphics, 2008Homogeneous coordinates are often used in computer graphics and computer vision applications especially for the representation of geometric transformations. The homogeneous coordinates enable us to represent translation, rotation, scaling and projection operations in a unique way and handle them properly. Today's graphics hardware based on GPU offers a
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Generalized barycentric coordinates and applications
Acta Numerica, 2015This paper surveys the construction, properties, and applications of generalized barycentric coordinates on polygons and polyhedra. Applications include: surface mesh parametrization in geometric modelling; image, curve, and surface deformation in computer graphics; and polygonal and polyhedral finite element methods.
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