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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 curve
Descartes' rule of signs
Jacobi operator
Linear interpolation
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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
H. K. Samanci
2016
Corpus ID: 125099258
In order to research the knitted fabric, some specific curves produced by computer aided geometric design are used in our paper…
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2015
2015
A selective eraser of curvature extrema for B-spline curves
E. Demers
,
C. Tribes
,
F. Guibault
Computers & graphics
2015
Corpus ID: 2224296
2013
2013
2-stage explicit total variation diminishing preserving Runge-Kutta methods
M. M. Khalsaraei
,
Fayyaz Khodadosti
2013
Corpus ID: 55398938
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of…
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2009
2009
A generalization of a result of G. Pólya and its application to a continuous extension of the de la Vallée Poussin means
A. Cavaretta
,
Terence Hanchin
Journal of Approximation Theory
2009
Corpus ID: 1391101
2004
2004
Recursive de Casteljau bisection and rounding errors
Przemyslaw Kiciak
,
A. Zidna
Computer Aided Geometric Design
2004
Corpus ID: 1203313
1999
1999
Global smoothness preservation and the variation-diminishing property
C. Cottin
,
I. Gavrea
,
H. Gonska
,
D. Kacsó
,
Ding-Xuan Zhou
1999
Corpus ID: 7996939
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and…
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1996
1996
On zero curves of bivariate polynomials
M. Floater
Advances in Computational Mathematics
1996
Corpus ID: 15964638
Two conditions on the signs of the coefficients of a bivariate polynomial which ensure that the zero set is a single curve are…
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1995
1995
A generalization of the variation diminishing property
J. Carnicer
,
T. Goodman
,
J. Peña
Advances in Computational Mathematics
1995
Corpus ID: 39210602
For totally positive matrices, a new variation diminishing property on the sign of consecutive minors is obtained. this property…
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1992
1992
Systematic derivation of spline bases
A. Lempel
,
G. Seroussi
Computer Aided Geometric Design
1992
Corpus ID: 205070538
1992
1992
Data reduction using cubic rational B-splines
J. J. Chou
,
L. Piegl
IEEE Computer Graphics and Applications
1992
Corpus ID: 2767492
A geometric method for fitting rational cubic B-spline curves to data representing smooth curves, such as intersection curves or…
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