Results 41 to 50 of about 13,400 (188)
Differential Barycentric Coordinates
, 2021 We describe an optimized way to compute differential barycentric coordinates, which can be employed by implementations of ray differentials. This technique can be used for texture filtering computations for ray tracing.
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RoboticsA new approach is presented to study the kinematic properties of stationary robots with a closed structure. It combines the application of conventional methods from kinematics with geometric parameters represented in a barycentric coordinate system. This
Ivan Chavdarov
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G3: Genes, Genomes, Genetics, 2019 Inferring subject ancestry using genetic data is an important step in genetic association studies, required for dealing with population stratification. It has become more challenging to infer subject ancestry quickly and accurately since large amounts of
Yumi Jin +4 more
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Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection [PDF]
, 2013 Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a ...
Paulino, Glaucio H., Talischi, Cameron
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Interior Distance Using Barycentric Coordinates [PDF]
Computer Graphics Forum, 2009 AbstractThis paper introduces a framework for defining a shape‐aware distance measure between any two points in the interior of a surface mesh. Our framework is based on embedding the surface mesh into a high‐dimensional space in a way that best preserves boundary distances between vertices of the mesh, performing a mapping of the mesh volume into this
R. M. Rustamov, Y. Lipman, T. Funkhouser
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Orthocentric simplices and their centers
, 2005 A simplex is said to be orthocentric if its altitudes intersect in a common point, called its orthocenter. In this paper it is proved that if any two of the traditional centers of an orthocentric simplex (in any dimension) coincide, then the simplex is ...
Edmonds, Allan L. +2 more
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Analysis and new constructions of generalized barycentric coordinates in 2D [PDF]
, 2017 Different coordinate systems allow to uniquely determine the position of a geometric element in space. In this dissertation, we consider a coordinate system that lets us determine the position of a two-dimensional point in the plane with respect to an
Anisimov, Dmitry, Hormann, Kai
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Recurrence Relations for Orthogonal Polynomials on Triangular Domains
Mathematics, 2016 In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
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An image fusion system for corrective osteotomy of distal radius malunion
BioMedical Engineering OnLine, 2021 Background To provide surgical support for corrective osteotomy, we developed an image fusion system for three-dimensional (3D) preoperative planning and fluoroscopy.
Yuichi Yoshii +4 more
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On Routh-Steiner Theorem and Generalizations [PDF]
, 2014 Following Coxeter we use barycentric coordinates in affine geometry to prove theorems on ratios of areas.
Abboud, Elias
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