Results 51 to 60 of about 188,550 (196)
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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Skeletal‐Driven Animation of Anatomical Humans via Neural Deformation Gradients
Computer Graphics Forum, EarlyView.Abstract Most real‐time animation techniques for digital humans are limited to deforming the outer skin surface. Geometric skinning methods are highly efficient but struggle with artifacts such as collapsing joints or self‐intersections when animating inner anatomy along with the outer skin.
G. Nolte +3 more
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Wasserstein barycentric coordinates [PDF]
ACM Transactions on Graphics, 2016 This article defines a new way to perform intuitive and geometrically faithful regressions on histogram-valued data. It leverages the theory of optimal transport, and in particular the definition of Wasserstein barycenters, to introduce for the first time the notion of barycentric coordinates for histograms.
Nicolas Bonneel +2 more
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Физика волновых процессов и радиотехнические системы, 2018 The main features of the application of the barycentric method in the numerical solution internal problem of electrodynamics with the allocation of the limitations of the method and its main stages are considered in the article.
I.S. Polyanskii
doaj
The Gergonne point generalized through convex coordinates
International Journal of Mathematics and Mathematical Sciences, 1999 The Gergonne point of a triangle is the point at which the three cevians to the points of tangency between the incircle and the sides of the triangle are concurrent.
J. N. Boyd, P. N. Raychowdhury
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Triangular C2 Interpolants by Piecewise Rational Functions
Chemical Engineering Transactions, 2016 In this paper a C2 interpolation scheme on a triangle is presented. The interpolant assumes given values and derivatives of orders up to 2 at the vertices of the triangle. It is made up of partial interpolants blended with weight functions.
W.B. Yu
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Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Computer Graphics Forum, EarlyView.Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
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A New Characterization of the Symmedian Point
GeometryLet ▵ABC be a triangle in the plane E, K be its symmedian point, and C be its circumcircle. Assume that P is a point on C such that it is not A, B, or C, it does not lie on the medians of ▵ABC, and the lines ℓAP, ℓBP, and ℓCP intersect ℓBC, ℓCA, and ℓAB ...
Yu Chen, Robert J. Fisher
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NAADF: Globally Illuminated Voxel Worlds Accelerated with Nested Axis‐Aligned Distance Fields
Computer Graphics Forum, EarlyView.Abstract Achieving realistic rendering of 3D scenes in real time using path tracing is challenging due to the high sample count required, with ray tracing as the bottleneck. Focusing on voxels as a geometry representation offers significant opportunities for optimizations, especially for tracing the rays, but also for computing the samples.
A. Ulschmid +4 more
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Computer Graphics Forum, EarlyView.Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
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