About: De Boor's algorithm

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In the mathematical subfield of numerical analysis de Boor's algorithm is a polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de Casteljau's algorithm for Bézier curves. The algorithm was devised by Carl R. de Boor. Simplified, potentially faster variants of the de Boor algorithm have been created but they suffer from comparatively lower stability.

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rdfs:label	خوارزمية دي بور (ar) Algoritmo de De Boor (es) De Boor's algorithm (en) Algoritmo de Boor (pt) 德布尔算法 (zh)
rdfs:comment	في الحقل الرياضياتي الذي ينتمي للتحليل العددي، تعتبر خوارزمية دي بور خوارزمية استقرار عددي لتقييم التي تتخذ شكل . وهو تعميم لخوارزمية دوكاستلجو لمنحنى بيزيه. وضع هذه الخوارزمية . . (ar) In the mathematical subfield of numerical analysis de Boor's algorithm is a polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de Casteljau's algorithm for Bézier curves. The algorithm was devised by Carl R. de Boor. Simplified, potentially faster variants of the de Boor algorithm have been created but they suffer from comparatively lower stability. (en) En el subcampo matemático del análisis numérico, el algoritmo de De Boor es un algoritmo de tiempo polinomial y numéricamente estable para evaluar curvas spline en forma B-spline. Es una generalización del algoritmo Casteljau para las curvas de Bézier. El algoritmo fue ideado por Carl R. De Boor. Se han creado variantes simplificadas y potencialmente más rápidas del algoritmo de De Boor, pero sufren una estabilidad comparativamente menor. (es) O algoritmo de Boor permite computar os pontos sobre uma curva B-spline sem conhecer as funções de base B-Spline e utilizando somente interpolações lineares sucessivamente a partir dos pontos de controle dessa curva. Ele pode ser interpretado como uma generalização do Algoritmo de De Casteljau que é utilizado para encontrar os pontos sobre uma curva de Bézier. (pt) 数学的子领域数值分析中，De Boor算法是快速而且的算法，用于计算B样条形式的样条曲线。这是用于貝茲曲線的de Casteljau算法的一个推广。 (zh)
dcterms:subject	Numerical analysis Splines (mathematics) Interpolation
Wikipage page ID	475385 (xsd:integer)
Wikipage revision ID	1073433593 (xsd:integer)
Link from a Wikipage to another Wikipage	Carl R. de Boor Python (programming language) Algorithm De Casteljau's algorithm Numerically stable Mathematics B-spline Numerical analysis Splines (mathematics) Fortran Numerical analysis Interpolation Big O notation Bézier curve Netlib NURBS Spline curve
Link from a Wikipage to an external page	http://einspline.sourceforge.net/ http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/de-Boor.html http://www.netlib.org/pppack/ https://www.scipy.org/ http://www.idav.ucdavis.edu/education/CAGDNotes/Deboor-Cox-Calculation/Deboor-Cox-Calculation.html https://www.gnu.org/software/gsl/ https://github.com/msteinbeck/tinyspline
sameAs	De Boor's algorithm De Boor's algorithm De Boor's algorithm De Boor's algorithm De Boor's algorithm De Boor's algorithm De Boor's algorithm
dbp:wikiPageUsesTemplate	dbt:Cite_book
has abstract	في الحقل الرياضياتي الذي ينتمي للتحليل العددي، تعتبر خوارزمية دي بور خوارزمية استقرار عددي لتقييم التي تتخذ شكل . وهو تعميم لخوارزمية دوكاستلجو لمنحنى بيزيه. وضع هذه الخوارزمية . . (ar) In the mathematical subfield of numerical analysis de Boor's algorithm is a polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de Casteljau's algorithm for Bézier curves. The algorithm was devised by Carl R. de Boor. Simplified, potentially faster variants of the de Boor algorithm have been created but they suffer from comparatively lower stability. (en) En el subcampo matemático del análisis numérico, el algoritmo de De Boor es un algoritmo de tiempo polinomial y numéricamente estable para evaluar curvas spline en forma B-spline. Es una generalización del algoritmo Casteljau para las curvas de Bézier. El algoritmo fue ideado por Carl R. De Boor. Se han creado variantes simplificadas y potencialmente más rápidas del algoritmo de De Boor, pero sufren una estabilidad comparativamente menor. (es) O algoritmo de Boor permite computar os pontos sobre uma curva B-spline sem conhecer as funções de base B-Spline e utilizando somente interpolações lineares sucessivamente a partir dos pontos de controle dessa curva. Ele pode ser interpretado como uma generalização do Algoritmo de De Casteljau que é utilizado para encontrar os pontos sobre uma curva de Bézier. (pt) 数学的子领域数值分析中，De Boor算法是快速而且的算法，用于计算B样条形式的样条曲线。这是用于貝茲曲線的de Casteljau算法的一个推广。 (zh)
prov:wasDerivedFrom	wikipedia-en:De_Boor's_algorithm?oldid=1073433593&ns=0
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foaf:isPrimaryTopicOf	wikipedia-en:De_Boor's_algorithm
is Link from a Wikipage to another Wikipage of	Carl R. de Boor De Casteljau's algorithm List of numerical analysis topics De Boor Horner's method B-spline Isogeometric analysis Polynomial evaluation Non-uniform rational B-spline De Boor algorithm
is Wikipage redirect of	De Boor algorithm
is Wikipage disambiguates of	De Boor
is foaf:primaryTopic of	wikipedia-en:De_Boor's_algorithm

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