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Spherical barycentric coordinates.
, 2006 We 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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Subdividing barycentric coordinates
Computer Aided Geometric Design, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Anisimov +2 more
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Blended barycentric coordinates
Computer Aided Geometric Design, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Anisimov +2 more
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Barycentric Coordinates on Surfaces
Computer Graphics Forum, 2010 AbstractThis 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
Raif M. Rustamov
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On transfinite barycentric coordinates.
, 2006 A 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.
Alexander Belyaev, Belyaev, A.
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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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Generalized Barycentric Coordinates on Irregular Polygons
Journal of Graphics Tools, 2002 Summary: 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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Barycentric coordinates computation in homogeneous coordinates
Computers and 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
Václav Skala
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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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