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Variation diminishing property

Known as: Variation diminishing properties, Variation diminishing property of Bézier curves, Variation diminishing property of totally positive matrices 
In mathematics, the variation diminishing property of certain mathematical objects involves diminishing the number of changes in sign (positive to… 
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Related topics

Related topics

6 relations
Bézier curveDescartes' rule of signsJacobi operatorLinear interpolation

Broader (1)

Interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
On investigating the differential geometric properties of the knitted fabrics produced by some computer aided geometric design curves
In order to research the knitted fabric, some specific curves produced by computer aided geometric design are used in our paper… 
2015
2015
A selective eraser of curvature extrema for B-spline curves
2013
2013
2-stage explicit total variation diminishing preserving Runge-Kutta methods
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of… 
2009
2009
A generalization of a result of G. Pólya and its application to a continuous extension of the de la Vallée Poussin means
2004
2004
Recursive de Casteljau bisection and rounding errors
1999
1999
Global smoothness preservation and the variation-diminishing property
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and… 
1996
1996
On zero curves of bivariate polynomials
Two conditions on the signs of the coefficients of a bivariate polynomial which ensure that the zero set is a single curve are… 
1995
1995
A generalization of the variation diminishing property
For totally positive matrices, a new variation diminishing property on the sign of consecutive minors is obtained. this property… 
1992
1992
Systematic derivation of spline bases
1992
1992
Data reduction using cubic rational B-splines
A geometric method for fitting rational cubic B-spline curves to data representing smooth curves, such as intersection curves or… 
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