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B-spline

In numerical analysis, a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree, smoothness, and set of breakpoints (knots that partition its domain), making it a fundamental building block for all spline functions of that degree. A B-spline is defined as a piecewise polynomial of…

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Overview

Properties

Moments of univariate B-splines

Relationship to piecewise/composite Bézier

Curve fitting

Computer-aided design and computer graphics

Cubic B-Splines

Clamped B-Splines

NURBS

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B-spline

Nodes69
Edges68
Triples107
Avg. degree1.97
Density0.028986
Components1

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B-spline

Top relations

related to Further reading · 37
B-spline → Algorithms, An Introduction, B-Spline Approximation, B-Spline Curves, B-Spline Geometry, B-Spline Techniques, Barsky, Bartels, Beatty, Brian, Business Media, Bézier, Chad, Chapter, Computer Graphics, Curves, David Salomon, Formulation, Geometric Modeling, Hartmut Prautzsch
related to External links · 17
B-spline → Archived, Author, B-splines, BeckB-Spline Editor, Eric, Interactive B-splines, Johannes, JSXGraphTinySpline, MathWorld, Modelling, Opensource C-library, PDF, Retrieved, Ruf, Shukant Pal, Stefan, Weisstein
related to NURBS · 8
B-spline → B-splines, By, Bézier, Cartesian, In, Like B-splines, NURBS, When
related to Curve fitting · 6
B-spline → B-splines, For, The, Thus, Usually, When
related to Moments of univariate B-splines · 6
B-spline → An, B-splines, Boor, Carlson's Dirichlet, The, Univariate B-splines
related to Properties · 6
B-spline → B-splines, Bézier, If, It, The B-spline, These
related to Computer-aided design and computer graphics · 4
B-spline → B-splines, Because B-splines, In, The
related to P-spline · 4
B-spline → It, P-spline, The, Two
related to Relationship to piecewise/composite Bézier · 4
B-spline → Bézier, Depending, This, To
related to Cardinal B-spline · 3
B-spline → B-splines, The, They

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Important terminology

displaystyle b-splines curve knots points control function degree knot functions polynomial order spline curves piecewise basis bézier one nurbs defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
B-splineis apolynomial of degree n0.90text
B-splineis acontinuous function at the knots0.90text
B-splinerelated to Cardinal B-splineThe0.60section
B-splinerelated to Cardinal B-splineB-splines0.60section
B-splinerelated to Cardinal B-splineThey0.60section
B-splinerelated to Clamped B-SplinesIf0.60section
B-splinerelated to Clamped B-SplinesB-splines0.60section
B-splinerelated to Clamped B-SplinesExample0.60section
B-splinerelated to Computer-aided design and computer graphicsIn0.60section
B-splinerelated to Computer-aided design and computer graphicsThe0.60section
B-splinerelated to Computer-aided design and computer graphicsBecause B-splines0.60section
B-splinerelated to Computer-aided design and computer graphicsB-splines0.60section

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