Nira Dyn

According to our database1, Nira Dyn authored at least 62 papers between 1987 and 2020.

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Bibliography

2020
Convergence analysis of corner cutting algorithms refining nets of functions.
Math. Comput. Simul., 2020

Approximation of 3D objects by piecewise linear geometric interpolants of their 1D cross-sections.
J. Comput. Appl. Math., 2020

On the error in transfinite interpolation by low-rank functions.
J. Approx. Theory, 2020

Metric Fourier approximation of set-valued functions of bounded variation.
CoRR, 2020

Extending Editing Capabilities of Subdivision Schemes by Refinement of Point-Normal Pairs.
Comput. Aided Des., 2020

2019
Metric approximation of set-valued functions of bounded variation.
J. Comput. Appl. Math., 2019

Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision.
CoRR, 2019

<i>C</i><sup>1</sup> analysis of some 2D subdivision schemes refining point-normal pairs with the circle average.
Comput. Aided Geom. Des., 2019

High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting.
Comput. Aided Geom. Des., 2019

2018
Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes.
Comput. Aided Geom. Des., 2018

2017
A global approach to the refinement of manifold data.
Math. Comput., 2017

Manifold-valued subdivision schemes based on geodesic inductive averaging.
J. Comput. Appl. Math., 2017

2016
A weighted binary average of point-normal pairs with application to subdivision schemes.
Comput. Aided Geom. Des., 2016

2015
Adaptive thinning of centers for approximation of a large data set by radial functions.
J. Approx. Theory, 2015

Univariate subdivision schemes for noisy data with geometric applications.
Comput. Aided Geom. Des., 2015

Convergence of univariate non-stationary subdivision schemes via asymptotic similarity.
Comput. Aided Geom. Des., 2015

2014
Multivariate polynomial interpolation on lower sets.
J. Approx. Theory, 2014

Approximation of Set-Valued Functions - Adaptation of Classical Approximation Operator.
Imperial College Press, ISBN: 978-1-78326-302-8, 2014

2013
Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric.
Found. Comput. Math., 2013

Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes.
Adv. Comput. Math., 2013

2012
Adaptive multiresolution analysis based on anisotropic triangulations.
Math. Comput., 2012

Bivariate interpolation based on univariate subdivision schemes.
J. Approx. Theory, 2012

Geometric conditions for tangent continuity of interpolatory planar subdivision curves.
Comput. Aided Geom. Des., 2012

Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type.
Comput. Aided Geom. Des., 2012

2011
Analysis of subdivision schemes for nets of functions by proximity and controllability.
J. Comput. Appl. Math., 2011

Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines.
J. Comput. Appl. Math., 2011

Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting.
Found. Comput. Math., 2011

Reconstruction of 3D objects from 2D cross-sections with the 4-point subdivision scheme adapted to sets.
Comput. Graph., 2011

2010
Approximation order of interpolatory nonlinear subdivision schemes.
J. Comput. Appl. Math., 2010

Blending based corner cutting subdivision scheme for nets of curves.
Comput. Aided Geom. Des., 2010

Computation of the Metric Average of 2D Sets with Piecewise Linear Boundaries.
Algorithms, 2010

2009
Multipartite Secret Sharing by Bivariate Interpolation.
J. Cryptol., 2009

Multi-segmental representations and approximation of set-valued functions with 1D images.
J. Approx. Theory, 2009

Piecewise L-splines of order 4: Interpolation and L<sup>2</sup> error bounds for splines in tension.
J. Approx. Theory, 2009

Four-point curve subdivision based on iterated chordal and centripetal parameterizations.
Comput. Aided Geom. Des., 2009

2008
Polynomial reproduction by symmetric subdivision schemes.
J. Approx. Theory, 2008

Meshfree Thinning of 3D Point Clouds.
Found. Comput. Math., 2008

2007
Low Bit-Rate Image Coding Using Adaptive Geometric Piecewise Polynomial Approximation.
IEEE Trans. Image Process., 2007

Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes.
SIAM J. Math. Anal., 2007

Meshless geometric subdivision.
Graph. Model., 2007

An efficient algorithm for the computation of the metric average of two intersecting convex polygons, with application to morphing.
Adv. Comput. Math., 2007

2006
Image compression by linear splines over adaptive triangulations.
Signal Process., 2006

2005
Interpolation and Approximation of Piecewise Smooth Functions.
SIAM J. Numer. Anal., 2005

Convergence and <i>C</i><sup>1</sup> analysis of subdivision schemes on manifolds by proximity.
Comput. Aided Geom. Des., 2005

Geometrically Controlled 4-Point Interpolatory Schemes.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

Adaptive Thinning for Terrain Modelling and Image Compression.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

Optimising 3D Triangulations: Improving the Initial Triangulation for the Butterfly Subdivision Scheme.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

2004
Robust Spherical Parameterization of Triangular Meshes.
Computing, 2004

2003
Exponentials Reproducing Subdivision Schemes.
Found. Comput. Math., 2003

2002
Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials.
Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

Interpolatory Subdivision Schemes.
Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

1999
Convexity preservation of the four-point interpolatory subdivision scheme.
Comput. Aided Geom. Des., 1999

1994
Image Warping by Radial Basis Functions: Application to Facial Expressions.
CVGIP Graph. Model. Image Process., 1994

The Work of John Gregory, Rational Spline Interpolation, Subdivision Algorithms and C Polygonal Patches.
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994

1993
Transforming triangulations in polygonal domains.
Comput. Aided Geom. Des., 1993

1992
Interpolatory convexity-preserving subdivision schemes for curves and surfaces.
Comput. Aided Des., 1992

1991
Regularity Conditions for a Class of Geometrically Continuous Curves and Surfaces.
Proceedings of the Curves and Surfaces, 1991

Error Estimates for Multiquadric Interpolation.
Proceedings of the Curves and Surfaces, 1991

1990
A butterfly subdivision scheme for surface interpolation with tension control.
ACM Trans. Graph., 1990

Using parameters to increase smoothness of curves and surfaces generated by subdivision.
Comput. Aided Geom. Des., 1990

1987
A 4-point interpolatory subdivision scheme for curve design.
Comput. Aided Geom. Des., 1987

Interpolation of scattered Data by radial Functions.
Proceedings of the Topics in Multivariate Approximation, 1987


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