Results 1 to 10 of about 169,517 (306)
THB-splines: The truncated basis for hierarchical splines [PDF]
Computer Aided Geometric Design, 2012 The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. The authors show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines.
Carlotta Giannelli +2 more
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Isogeometric analysis using T-splines
Computer Methods in Applied Mechanics and Engineering, 2010 We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications.
J A Evans, M A Scott, Y Bazilevs
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Flexible smoothing with B-splines and penalties
Statistical Science, 1996 Paul Eilers
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Analysis-suitable unstructured T-splines: Multiple extraordinary points per face [PDF]
Computer Methods in Applied Mechanics and Engineering, 2021 Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve a seamless integration between the design and the analysis of thin-walled structures in industrial settings.
Xiaodong Wei +5 more
semanticscholar +1 more source
Machine-Learning Methods on Noisy and Sparse Data
Mathematics, 2023 Experimental and computational data and field data obtained from measurements are often sparse and noisy. Consequently, interpolating unknown functions under these restrictions to provide accurate predictions is very challenging.
Konstantinos Poulinakis +3 more
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Hybrid Integration Method for Sunlight Atmospheric Scattering
IEEE Access, 2021 In computer graphics, the efficient rendering of a clear sky may greatly enhance the realism of synthesised interactive virtual environments. However, light atmospheric scattering, lying behind a reliable sky synthesis, is a computationally demanding ...
Tomasz Galaj +4 more
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Valuing Exchange Options under an Ornstein-Uhlenbeck Covariance Model
International Journal of Financial Studies, 2023 In this paper we study the pricing of exchange options between two underlying assets whose dynamic show a stochastic correlation with random jumps. In particular, we consider a Ornstein-Uhlenbeck covariance model, with Levy Background Noise Processes ...
Enrique Villamor, Pablo Olivares
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Axioms, 2015 Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional submanifold in the three-dimensional Lie group. Given two surfaces, all of the diffeomorphisms between them
Zeng, Wei +2 more
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Shape-Restricted Regression Splines with R Package splines2
Journal of Data Science, 2021 Splines are important tools for the flexible modeling of curves and surfaces in regression analy-ses. Functions for constructing spline basis functions are available in R through the base package splines .
Wenjie Wang, Jun Yan
semanticscholar +1 more source
Splines with nonnegative 𝐵-spline coefficients [PDF]
Mathematics of Computation, 1974 We consider the question of the approximation of nonnegative functions by nonnegative splines of order k (degree > k
de Boor, C., Daniel, James W.
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