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Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box splines are considered as a multivariate generalization of basis splines (B-splines) and are generally used for multivariate approximation/interpolation. Geometrically, a box spline is the shadow (X-ray) of a…

Applications, Definition & Properties

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Definition

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Map overview Semantic statistics

Box spline

Nodes35
Edges34
Triples17
Avg. degree1.94
Density0.057143
Components1

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Box spline

Top relations

related to Properties · 7
Box spline → Fourier, Let, Minkowski, Since, Then, When, Xi
has application · 5
Box spline → Also, Box, For, Such, They
is a · 3
Box spline → compactly supported function whose support is a zonotope in R d, multivariate function, shadow
related to Definition · 2
Box spline → When, Xi

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Important terminology

box splines spline used displaystyle xi mathbb interpolation function mathbf multivariate defined hypercube functions vectors lattices basis generally approximation applications

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Box splineis ashadow0.90text
Box splineis amultivariate function0.90text
Box splineis acompactly supported function whose support is a zonotope in R d0.90text
Box splinehas applicationFor0.60section
Box splinehas applicationSuch0.60section
Box splinehas applicationThey0.60section
Box splinehas applicationBox0.60section
Box splinehas applicationAlso0.60section
Box splinerelated to DefinitionXi0.60section
Box splinerelated to DefinitionWhen0.60section
Box splinerelated to PropertiesLet0.60section
Box splinerelated to PropertiesXi0.60section

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    Min side: 3
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